The duct enlarges until it takes on a square cross-section with sides of 15 inches. Considering that the air can be regarded as an incompressible fluid V₂ is 0.94 ft/sec.
By the equation of continuity
(Rate of volumetric flow rate is constant)
A₁v₁ = A₂v₂
(6×6)×5.9(inch²ft/sec) = (15×15)×v₂
V₂ = 5.9(36/225) ft/sec
V₂ = 0.944 ft/sec
In fluid dynamics, or more broadly in continuum mechanics, an incompressible fluid (also known as an isochoric flow) is a flow in which the material density within a fluid parcel—an infinitesimal volume that moves with the flow velocity—remains constant. The idea that the flow velocity has zero divergences is comparable to the idea that incompressibility exists (see the derivation below, which illustrates why these conditions are equivalent).
The fact that fluid flows incompressibly does not mean that it cannot be compressed. In the derivation that follows, it is demonstrated that even compressible fluids can be roughly described as incompressible flow under the appropriate circumstances. If a fluid parcel flows with the flow velocity, it is said to have incompressible flow, meaning the density stays constant.
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you a generally safe inside an automobile during a lighting storm because: question 7 multiple choice options the car's radio antenna will act as a lightning rod the rubber tires insulate you from the ground metal cars do not become electrically charged the metal car body will carry the lightning current around the passengers inside
You a generally safe inside an automobile during a lighting storm because the metal car body will carry the lightning current around the passengers inside.
Storm, violent atmospheric disturbance, characterised by low barometric pressure, cloud cowl, precipitation, sturdy winds, and probable lightning and thunder.
Current the flow of electrical charge vendors, typically electrons or electron-deficient atoms. The not unusual image for present day is the uppercase letter I. the same old unit is the ampere, symbolized with the aid of A
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the field vectors point into the page. the magnetic field is then turned off. select the correct statement. incorrect the magnitude of the induced electromotive force is always the same no matter how quickly the the magnetic field is turned off. incorrect the induced electromotive force is larger in magnitude if the magnetic field is turned off more slowly. correct: the induced electromotive force is larger in magnitude if the magnetic field is turned off more quickly. incorrect the induced electromotive force is smaller in magnitude if the magnetic field is turned off more quickly.
The induced electromotive force is larger in magnitude if the magnetic field is turned off more quickly when the vector points into the page.
We know that, as per faraday's law,
= Induced EMF = d(Ф)dt
where Ф is magnetic flux
Thus, Ф = BA
so,
Induced EMF = d(BA) / dt
We can see time in inversely related to emf. So if we switch off the magnetic field in less time then EMF will be more.
Therefore, answer should be "The induced electromotive force is larger in magnitude if the magnetic field is turned off more quickly."
Next, the current should follow Lenz's law and t should oppose the change in magnetic flux.
The induced current should flow clockwise.
Now, we know
Induced emf = d(BA)/ dt
where A = pi X r²
So, if radius is doubled then,
= A = π X (2r)²
= A = 4 X pi X r²
Hence,
Emf increases by 4 times ( it quadruples ).
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the plane of a loop of wire is perpendicular to a magnetic field. rank, from greatest to least, the magnitudes of the loop's induced emf for each situation. a. the magnetic field strength increases from 0 t to 1 t in 6 s . b. the magnetic field strength increases from 1 t to 4 t in 2 s . c. the magnetic field strength remains at 4 t for 1 min . d. the magnetic field strength decreases from 4 t to 3 t in 4 s . e. the magnetic field strength decreases from 3 t to 0 t in 1 s . rank from greatest to least. to rank items as equivalent, overlap them.
The plane of a loop of wire is perpendicular to a magnetic field. Rank from greatest to least, the magnitudes of the loop's induced emf for each situation will be E - B - D - A - C.
The number of magnetic flux lines on a unit area passing perpendicular to the given line direction is known as induced magnetic field strength. It is denoted by B.
The magnitude of the induced EMF in the loop of wire is:
∈ = ΔФ/ Δt
The magnetic flux is given by ФB = ΔBA
∈ = ΔBA / Δt
The above expression shows that the induced emf is proportional to the rate of change of the magnetic field.
ΔB/Δt = (1T-0T)/6 = 0.167 T/sec
ΔB/Δt = (4T-1T)/2 = 1.500 T/sec
ΔB/Δt = (4T-4T)/60 = 0 T/sec
ΔB/Δt = (3T-4T)/4 = -0.25 T/sec
ΔB/Δt = (0T-3T)/1 = -3 T/sec
From the above, it is observed that rank, from the greatest to least, the magnitudes of the loop's induced emf for each situation will be
E - B - D - A - C.
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A 2 m long wire carrying 2 A of current pointing to the right is placed in a magnetic field of 4 T directed away from you.
How big is the force acting on the wire?
A. 4 N
B. 8 N
C. 12 N
D. 16 N
The force acting on the 2 m wire carrying a 2 A current and placed in a 4 T magnetic field is 16 N.
Explanation:The subject of this question is Physics, particularly dealing with the concept of magnetic force. In this scenario, we are asked to determine the magnitude of the force acting on a wire that is carrying a current and placed within a magnetic field. The force on a current carrying conductor in a magnetic field can be calculated using the formula F=BIL, where F is the magnetic force, B is the magnetic field strength, I is the current in the wire, and L is the length of the wire.
In this problem, we are given B=4 T, I=2 A, and L=2 m. Substituting these values into the equation, we find that F=BIL=(4 T)*(2 A)*(2 m)=16 N.
Therefore, the correct answer is D. 16 N.
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Consider the object below. A long rectangular block has had one square piece removed from it. Roughly, which of the five locations indicated is closest to the center of mass of the new object?​
Please Answer this and explain how you got the solution for this question.
The center of mass is 2.25 which is point C.
A place at which the entire mass of a body or all the masses of a system of particles appears to be concentrated is defined as the center of mass of a body or system of particles.
The center of mass for straightforward stiff objects with homogeneous density is found at the centroid. The center of mass will always rest immediately underneath a shape if it is suspended from a single point. Therefore, the center of mass is where two lines that are drawn down downward from two different places on a shape (one at a time) intersect.
Here, we have 5 masses so the center of mass will be at the third block.
But here we remove a block and the left masses are:
o.5, 1.5, 2.5 and 4.5
X(cm) = m(0.5) + m(1.5) + m(2.5) + m(4.5) / 4m
X(cm) = m(0.5 + 1.5 + 2.5 + 4.5) / (4) m
[m will be cancelled out]
X(cm) = 9 / 4 = 2.25 which is point C
Therefore, the center of mass is 2.25 which is point C.
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|_-_ I did an experiment _-_|
If I ask a, non legit question, it instantly get's flagged, if I ask a legit question, it doesn't get answered.
CAN SOME ONE EXPLANE??
Answer:
Explanation:
happens to me with some guy names venus he always flaggs me when i even answer a question its really dificult to even try to answer when someone is on your tail ever now and then
can you put a non dimmable led bulb on a ciruit with a dimmer switch if i do not intend to use the dimming function
YES, Many consumers have concerns about changing their incandescent bulbs because they are unsure of how LED light bulbs operate. Using dimmable LED light bulbs in sockets without a dimmer switch is one often requested query.
Compared to conventional incandescent bulbs, LED light bulbs have many benefits. The key benefits are longer life, less heat, and less electricity usage. Non-dimmable LED lights are becoming less and less available from shops. As a result, it is almost certain that you will need to use a conventional socket to install a dimmable LED light.
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(a) calculate the focal length of the mirror formed by the convex side of a shiny spoon that has a 2.41 cm radius of curvature.
The focal length of the mirror formed by the convex side of a shiny spoon will be 0.0205 m.
As per the question,
It is given that,
The radius of curvature R=2.41 cm
We know, for determining the relationship between focal length and radius of curvature we have the following relationship:
[tex]\mathrm{f}=\frac{\mathrm{R}}{2}[/tex]
So, for determining the value of focal length we will put the value of the radius of curvature in the above formula.
Thus, we will get,
[tex]\mathrm{f}=\frac{2.41}{2}\\\mathrm{f}=1.205 \mathrm{~cm}\\\mathrm{f}=0.0205 \mathrm{~m}\\f=-0.0205 m[/tex]
As the focal length of the mirror is formed by the convex side of the shiny spoon. So, for denoting it we used a negative sign.
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An object undergoes an acceleration as it travels along a straight,horizontal section of a track. Which of the following graphs could represent the motion of the object? Select two answers. Speed Position Position Time Squared Velocity
A distance-time graph can be used to see the distance traveled by an object when it moves in a straight line. A distance-time graph's line gradient corresponds to the object's speed. The gradient's magnitude determines how quickly an object is travelling.
Explain what an acceleration is.Acceleration is the rate at which velocity, both in terms of speed and direction, varies over time. Whenever something moves either quicker or slower in a horizontal path, it is referred to as pushed.
What prompts accelerating?An object's velocity is altered by a net force, and acceleration increases with net force. To accelerate at the same rate as less massive objects, more massive objects need greater net forces.
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select all the statements that correctly describe why an ir spectrum can be used to determine functional group information. multiple select question.
Wavenumber (and frequency) drop from left to right, and peaks in an IR spectrum grow downward.
An absorption technique that is frequently used in both qualitative and quantitative investigations is infrared (IR) spectroscopy. The electromagnetic radiation in the infrared area of the spectrum has the ability to change the rotational and vibrational states of covalent bonds in organic molecules.
In addition to a variety of other uses, infrared spectroscopy (IR) is used to determine chemical species, identify chemical species, quantify chemical species, and determine molecular structure. Utilizing this method, scientists may examine matter in its solid, liquid, and gaseous phases.
An atom or group of atoms inside a molecule that exhibits a comparable set of chemical characteristics across a variety of compounds is referred to as a functional group.
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String is wrapped around a solid wood cylinder and a hollow metal cylinder, both of
which have mass 4.0 kg and radius 0.30 m. Both start from rest at a distance 6.0 m above the ground and unwind the string while rotating without slipping under the influence of gravity. What are the final linear velocities (v) of the two cylinders just before they hit the ground?
The final linear velocity of the solid wood cylinder just before it hits the ground is 8.85 m/s.
The final linear velocity of the hollow metal cylinder just before it hits the ground is 7.7 m/s.
What is the final velocity of the two cylinders?
The final linear velocities of the two cylinders just before they hit the ground is calculated by applying the principle of conservation of energy.
translational kinetic energy + rotational kinetic energy = gravitational potential energy
¹/₂mv² + ¹/₂Iω² = mgh
where;
v is the linear velocityω is the angular velocity = v / rI is the moment of inertiaThe moment of inertia of solid cylinder, I = ¹/₂mr²
¹/₂mv² + ¹/₂Iω² = mgh
¹/₂mv² + ¹/₂(¹/₂mr²)(v/r)² = mgh
¹/₂mv² + ¹/₄(mr²)(v²/r²) = mgh
¹/₂mv² + ¹/₄(mv²) = mgh
¹/₂v² + ¹/₄v² = gh
2v² + v² = 4gh
3v² = 4gh
v² = 4gh/3
v = √ (4gh / 3)
v = √ (4 x 9.8 x 6 / 3)
v = 8.85 m/s
The moment of inertia of hollow cylinder, I = mr²
¹/₂mv² + ¹/₂Iω² = mgh
¹/₂mv² + ¹/₂(mr²)(v/r)² = mgh
¹/₂mv² + ¹/₂(mr²)(v²/r²) = mgh
¹/₂mv² + ¹/₂(mv²) = mgh
¹/₂v² + ¹/₂v² = gh
2v² = 2gh
v² = 2gh / 2
v² = gh
v = √ (gh)
v = √ (9.8 x 6)
v = 7.7 m/s
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If the voltage, V, in an electric circuit is held constant, then the current, I, is inversely proportional to the resistance, R.
If the voltage, V, in an electric circuit is held constant, then the current, I, is inversely proportional to the resistance, R.
A) If the current is 210 amperes when the resistance is 4 ohms, find the constant of proportionality, K.
B) Find the current when the resistance is 12 ohms
A) The constant of proportionality, K is 840 B) The current when the resistance is 12 ohms is 70 amperes.
The resistance R and the current I are inversely related.
I=k/R (k is the constant of proportionality)
A) I=210 amperes
R=4 ohms
I=k/R
k=I×R
k=210×4=840
B) R=12 ohms
k=840
I=k/R
I=840/12=70 amperes
Another significant characteristic in electrical systems that can be measured is resistance. Ohms. are the units. used to measure. resistance. The forces that hinder an electrical current's ability to travel through a conductor are referred to as resistance. All materials have some inherent impedance to the movement of electron current. We haven't figured out how to create conductors without any resistance.
Consider a hose that is partially clogged with sand if we are using our water analogy from the voltage lesson to help visualize resistance. The water in the hose will flow more slowly due to the sand. We can claim that a blocked hose has more water flow resistance than an unconnected hose.
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) explain the concept of radiative forcing. (b) (4 points) some parts of the earth system are likely to respond rather slowly to rising greenhouse gases. describe at least two of these, mention roughly what time scales are involved, and explain what makes their response slow. (c) (3 points) explain why low clouds tend to have a net cooling effect on climate. (d) (3 points). depending on the efforts taken to mitigate greenhouse gas emissions, the trajectory of climate change can take very different paths in the future. which of the following is most likely to be true regardless of mitigation efforts in year 2
When the quantity of energy entering and leaving the Earth's atmosphere is not the same, radioactive forcing results.
What is a good illustration of radioactive forcing?A radioactive forcing is an energy imbalance that the climate system is subjected to, either externally or as a result of human activity ( changes in solar energy output, volcanic anthropogenic emissions of greenhouse gases, aerosols, and their precursors; intentional land change.
The significance of radioactive forcing?In other words, if you want to know how to tell if something is good or bad, you need to know how to tell if it's good or bad.
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Which of the following is called the windpipe?
a. cilia.
b. veins.
C. arteries.
d. trachea.
What happens to length of metals as the temperature increases?
When a metal is heated, its atoms begin to vibrate more vigorously and move further apart from each other. This increases the distance between the atoms, which in turn causes the metal to expand and become longer.
The amount of expansion that a metal undergoes when heated depends on several factors, including the type of metal, the initial temperature of the metal, and the rate at which it is heated. In general, most metals will expand by a small amount when heated over a wide range of temperatures.
At very high temperatures, some metals may begin to undergo a phase change, such as melting or vaporization. This can cause the metal to undergo a significant change in length, depending on the amount of phase change that occurs.
Overall, the length of a metal will generally increase as the temperature increases, although the exact amount of expansion will depend on the specific conditions and the type of metal involved.
A sinusoidal wave travels along a stretched string. A particle on the string has a maximum velocity of 1.10m/s and a maximum acceleration of 260m/s2 .
What is the frequency and amplitude of the wave
2.0 m/s is the maximum speed. 200 m/s2 is the maximum acceleration. Calculating the angular frequency is necessary. utilising the angular frequency formula.
Fill out the formula with the value A stretched string is traversed by a sinusoidal wave. A particle on the string can move at a maximum speed of 0.900 m/s and accelerate at a maximum rate of 270 m/s2. What are the wave's frequency and amplitude?
On stretched string, a sinusoidal wave travelling in the right direction has an amplitude of 20 cm, a wavelength of 1, and a speed of 5 m/s. It is assumed that y=0 and dtdy0 at x=0 and t=0. the wave function for y. (x,t).
A particle on the string can move at a maximum speed of 0.900 m/s and accelerate at a maximum rate of 270 m/s2. What are the wave's frequency and amplitude?
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what is the average power pavg supplied by the voltage source? express your answer in terms of any or all of the following quantities: v0 , c , l , and r .
The average power supplied by the voltage source is given by
Pavg = Irms * Vrms
Pavg = 1/2 I₀² R = I²rms * R
Pavg = 1/2 V₀²/R = V²rms /R
where, Pavg is average power
Irms is rms current
Vrms is rms voltage
I₀ is the peak value of alternating current
V₀ is the peak value of alternating voltage
Root mean square current of the alternating current represents the DC current that dissipates the same amount of power as the average power dissipated by the alternating current.
The RMS value of alternating current is given by the direct current which flows through a resistance.
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rank in order, from largest to smallest, their wave speeds vava , vbvb , and vcvc . to rank items as equivalent, overlap them.
Ranking in order, from largest to smallest, their wave speeds : [tex]v_{a}=v_{b}=v_{c}[/tex]
What is Wave speed?
The amount of space a wave covers in a certain length of time, such as the number of metres it covers in a second, is known as its wave speed. Speed = Wavelength x Frequency is an equation that describes how wave speed relates to wave wavelength and wave frequency.
Wave pulses in stretched string, wave speeds, and medium are notions that must be understood in order to answer the provided issue.
Find the factors that impact the medium's wave speed first. Next, evaluate the three waves and order them by speed.
Given by, is the wave speed,
ν=nλ
Here, v is the wave speed, n is the frequency, and λ is wavelength.
The same stretched string is being followed by all three waves. Therefore, the medium is the same for all three strings.
Only the wave medium has the ability to alter a wave's speed.
The wave speed for the same medium is unaffected by the frequency and wavelength of any of the three waves. The criterion to evaluate the waves would be frequency and wavelength if the medium were different for each of the three waves.
Due of their shared medium of motion, all three waves will move at the same pace. thus only the characteristics of the medium have an impact on wave speed.
[tex]v_{a}=v_{b}=v_{c}[/tex]
The three waves use the same medium. The wave velocity will thus be the same. The wave speed will vary depending on the medium, and it may be rated.
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a rope is attached to the top of a block. if the block hangs in the air, the tension on the rope is 300 n. when the block is fully submerged in a fluid of density 600 kg/m3 , the tension on the rope is 200 n.
The tension on the rope is 300 n. when the block is fully submerged in a fluid of density 600 kg/m3 ,The tension on the rope is 2940.
T = buoyancy force - weight of block = 600 x 9.8 - 300 x 9.8 = 2940
When two opposing pressures pull on a rope, string, or wire, the force communicated through the object is known as tension. The energy is pulled equally on the bodies at the ends by the tension force, which is applied over the entire length of the wire.
Each physical object that comes into contact with another applies force to that other. Names are given to these contact forces based on the types of objects. The term "tension" can be used to describe one of the forces acting on an object that is a rope, cable, or chain.
Since they effectively convey a force over a predetermined distance, cables and ropes can be utilized to apply forces (e.g. the rope length). Remember that since ropes cannot effectively push, tension acts as the pulling force.
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the potential difference across the terminals of a battery is 8.20 v when there is a current of 1.55 a in the battery from the negative to the positive terminal. when the current is 3.52 a in the reverse direction, the potential difference becomes 10.40 v.
potential difference across the terminals of a battery is 8.2
V when there is a current of 1.54A in the battery from the negative to the positive terminal. When the current is 3.49A in the reverse direction, the potential difference becomes 9.2V
A-What is the internal resistance of the battery?
B-What is the emf of the battery?
The internal resistance of the battery is 0.1988 ohms and the emf of the battery is 8015 v
Given
V1=8.2 V
I1 =1.54 A
and
V2=9.2 V
I2=-3.49 A (since it is in reverse direction)
a)
since
E= V1+I1r
E=V2+I2r
V1+I1r =V2+I2r
8.2+1.54r =9.2-3.49r
5.03r =1
Resistance r=0.1988 ohms
b)
E=V1+I1r =8.2+1.54*0.1988
E=8.51 V
The effort required to transfer a unit of positive electric charge from one location to another is known as potential difference.
Due to the potential difference between the two ends of the battery, if you connect the two ends of the same wire to the opposite ends of the same battery, electricity will flow through it.
Work is done by the component when electrons travel through it. The component receives a portion of the electrons' energy
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A pulse of electromagnetic radiation is propagating in the +y direction. You have two devices that can detect electric and magnetic fields. You place detector #1 at location < 0, -3, 0> m and detector #2 at location < 0, 3, 0> m.
(a) At time t = 0, detector #1 detects an electric field in the -x direction. At that instant, what is the direction of the magnetic field at the location of detector #1?
(b) At what time will detector #2 detect electric and magnetic fields?
a. At the time [tex]\rm \(t = 0\)[/tex], the magnetic field at the location of detector #1 is in the +z direction.
b. At [tex]\(t \approx 2 \times 10^{-8}\)[/tex] seconds, detector #2 will detect the electric and magnetic fields.
(a) To determine the direction of the magnetic field at the location of detector #1, we can use the right-hand rule, which relates the direction of the magnetic field [tex]\rm (\(B\))[/tex], the direction of the electric field [tex]\rm (\(E\))[/tex], and the direction of propagation [tex]\rm (\(+y\))[/tex].
Since the pulse of electromagnetic radiation is propagating in the +y direction and detector #1 detects an electric field in the -x direction, the magnetic field [tex]\rm (\(B\))[/tex] must be in the +z direction.
This is because electromagnetic waves are transverse waves, and the electric and magnetic fields are perpendicular to each other and the direction of propagation.
So, at time [tex]\rm \(t = 0\)[/tex], the magnetic field at the location of detector #1 is in the +z direction.
(b) To determine the time at which detector #2 will detect electric and magnetic fields, we need to consider the distance between the two detectors and the speed of propagation of the electromagnetic wave.
Let's assume that the speed of light [tex]\rm (\(c\))[/tex] is [tex]\rm \(3.00 \times 10^8\)[/tex] m/s.
The distance between the two detectors is [tex]\rm \(d = 6\)[/tex] m (distance between the y-coordinates of the detectors).
The time [tex]\rm (\(t\))[/tex] it takes for the electromagnetic wave to travel from detector #1 to detector #2 is given by:
[tex]\[ t = \frac{d}{c} \]\\\\\ t = \frac{6 \, \text{m}}{3.00 \times 10^8 \, \text{m/s}} \]\\\\\ t \approx 2 \times 10^{-8} \, \text{s} \][/tex]
So, in [tex]\rm \(t \approx 2 \times 10^{-8}\)[/tex] seconds, detector #2 will detect the electric and magnetic fields.
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x y
2.5 6.25
9.4 88.36
15.6 243.63
19.5 380.25
25.8 665.64
The table lists the values for two parameters, x and y, of an experiment. What is the approximate value of y for x = 4?
Answer:
Therefore, the approximate value of y for x = 4 is approximately 0.97.
Explanation:
To determine the approximate value of y for x = 4, we need to use the values in the table to find a mathematical relationship between x and y. This can be done by performing a linear regression analysis on the data.A linear regression model is a statistical model that represents the relationship between two variables as a linear equation. The equation of the line is given by:y = mx + bWhere m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).We can use the values in the table to calculate the values of m and b. Using the formula for the slope of a line:m = (Σ(xy) - (Σx)(Σy)/n) / (Σ(x^2) - (Σx)^2/n)Where Σ(xy) is the sum of the products of the x and y values, Σx is the sum of the x values, Σy is the sum of the y values, Σ(x^2) is the sum of the squares of the x values, and n is the number of data points.Plugging in the values from the table, we get:m = (1146.07 - (69.7)(625.99)/5) / (1152.64 - (69.7)^2/5)m = 0.68The y-intercept can be calculated using the formula:b = (Σy - m(Σx)) / nPlugging in the values from the table and the value of m that we just calculated, we get:b = (625.99 - 0.68(69.7)) / 5b = -1.75We can now use the values of m and b to write the equation of the line:y = 0.68x - 1.75To determine the approximate value of y for x = 4, we can substitute this value into the equation:y = 0.68 * 4 - 1.75y = 2.72 - 1.75y = 0.97
taipei 101 (a 101-story building in taiwan) is sited in an area that is prone to earthquakes and typhoons, both of which can lead to dangerous oscillations of the building. to reduce the maximum amplitude, the building has a tuned mass damper, a 660,000 kg mass suspended from 42-m-long cables that oscillates at the same natural frequency as the building (figure 1). when the building sways, the pendulum swings, reaching an amplitude of 75 cm in strong winds or tremors. damping the motion of the mass reduces the maximum amplitude of oscillation of the building.
The period of oscillation of the building will be=13 s
During strong winds, the pendulum moves when it passes through the equilibrium position with a speed of = 0.36 m/s
(a)
Let us assume that the time period of oscillations of the building be [i 0]
So, the expression for time period will be: [tex]$$T=2 \pi \sqrt{\frac{l}{g}}$$[/tex]
Where, l is the length of the pendulum and g is the acceleration due to gravity.
So, the value of time period of oscillations will be:
[tex]T & =2 \pi \sqrt{\frac{(42 \mathrm{~m})}{\left(9.8 \mathrm{~m} / \mathrm{s}^2\right)}}[/tex] =13.0 seconds.
(b)
As we have, the relation between angular frequency and time period, which is [tex]$$\omega=\frac{2 \pi}{T}$$[/tex]
So, the value of the linear velocity of the pendulum will be
[tex]$$\begin{aligned}v & =A \omega \\& =A\left(\frac{2 \pi}{T}\right) \\& =\frac{2 \pi A}{T} \\& =\frac{2 \pi(0.75 \mathrm{~m})}{(13.0 \mathrm{~s})} \\& =0.36 \mathrm{~m} / \mathrm{s}\end{aligned}$$[/tex]
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The complete question should be:
Taipei 101 (a 101-story building in Taiwan) is sited in an area that is prone to earthquakes and typhoons, both of which can lead to dangerous oscillations of the building. To reduce the maximum amplitude, the building has a tuned mass damper, a 660,000 kg mass suspended from 42-m-long cables that oscillates at the same natural frequency as the building. When the building sways, the pendulum swings, reaching an amplitude of 75 cm in strong winds or tremors. Damping the motion of the mass reduces the maximum amplitude of oscillation of the building.
What is the period of oscillation of the building?
During strong winds, how fast is the pendulum moving when it passes through the equilibrium position?
Some electric-power companies use water to store energy. Water is pumped by reversible turbine pumps from a low to a high reservoir. To store the energy produced in 1 hour by a 120 MW electric-power plant, how many cubic meters of water will have to be pumped from the lower to the upper reservoir? Assume the upper reservoir is 470 m above the lower and we can neglect the small change in depths within each. Water has a mass of 1000 kg for every 1.0{m}^3.
The volume of water that will be pumped from the lower to the upper reservoir to generate the energy is 93,790.7 m³.
What is the volume of water needed to generate the power?The volume of water needed to generate the given power is calculated by applying the law of conservation of energy as shown below.
gravitational potential energy of water or work done by the water = energy generated
Mathematically, the equation is given as;
W = PV
where;
W is work done by the waterV is the volume of the waterP is the pressure of the waterW = (ρgh)V
where;
ρ is the density of waterg is acceleration due to gravityh is the height through which the water is pumped(ρgh)V = Pt
where;
P is the power generatedt is the time in which the power was generatedV = Pt / ρgh
The given parameters include;
P, power = 120 MW = 120 x 10⁶ Wt , time = 1 hour = 3600 sρ, density of water, = 1000 kg/m³g, acceleration due to gravity = 9.8 m/s²h, height of water, = 470 mThe volume of water needed to generate the energy is calculated as follows;
V = (120 x 10⁶ x 3600) / (1000 x 9.8 x 470)
V = 93,790.7 m³
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electronic watches keep accurate time using crystal oscillators. inside the watch, there is a tiny block of quartz which vibrates. two opposite faces of the block move alternately toward each other and away from each other. this is a caused by a standing wave in the block. the two opposite faces are at antinodes, and the plane halfway between these two faces is at a node. if the two faces are 7.79 mm apart and the speed of sound in quartz is 3.72 km/s, find the frequency of the vibration.
The frequency of the variation is 324.04 KHz.
Frequency is the wide variety of occurrences of a repeating event in step with unit time. For clarity, additionally called temporal frequency, which isn't like angular frequency. Frequency is measured in hertz (Hz) and corresponds to one occasion in keeping with 2nd. duration is the reciprocal of frequency, because duration is the time c program languageperiod between activities.
Frequency is an critical parameter utilized in technology and engineering to explain the speed of vibrations and vibrational phenomena inclusive of mechanical vibrations, audio indicators (sound), radio waves, and mild.
calculation :
[tex](\frac{lambda}{4} ) + (\frac{lambda}{4}) = 5.74 mm[/tex]
[tex]lambda = 11.48 m = 11.48*10^{-3} m[/tex]
Now,
[tex]f = \frac{v}{lambda} = \frac{3.72*10^{3} }{11.48*10^{-3} }[/tex]
[tex]= 324041.81 Hz[/tex]
[tex]= 324.04 KHz[/tex]
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microbursts are dangerous for commercial aircraft on takeoff or landing because of the associated:
Microbursts are dangerous for commercial aircraft on takeoff or landing because of the associated high wind gusts and turbulence.
Microbursts can create strong and sudden downdrafts that can cause a rapid decrease in airspeed and altitude, leading to a potential loss of lift and control. This can be especially dangerous during takeoff or landing when the aircraft is already at a low altitude and has limited ability to recover.
Microbursts are intense, short-lived downdrafts that can cause severe turbulence and strong winds in a localized area. They occur during thunderstorms and can last from a few seconds to a few minutes.
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A wooden plank 2 m long, 30 cm wide, and 40 mm thick floats in water with 10 mm of its thickness above the surface. What is the mass of the board? The answer is 18 kg
I am trying to figure out how they got that answer.
I know that d = m/v and in order to get mass you use m = d(v). Where does the 10 mm come into play. Also the denisty of water is 1.00 x 103 ... do I use that? I keep getting a ridiculous answer. Any help would be highly appreciated!
If a wooden plank 2 m long, 30 cm wide, and 40 mm thick floats in water with 10 mm of its thickness above the surface, the mass of the board is 18 kg.
Calculation:-
mass of board = density of water x volume of water displaced
= 1000 x 2x0.3x0.03
= 18 kg.
A property of a body that is a measure of inertia is usually viewed as a measure of the amount of matter contained in the body that causes it to have weight in a gravitational field. Mass is a dimensionless quantity that describes the amount of matter in a particle or object.
The mass of an object is a measure of its inertial properties or the amount of matter it contains. The weight of an object is a measure of the force exerted on it by gravity, or the force required to support it. Mass can best be understood as the amount of matter present in an object or body. Everything around us has mass.
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g determine the binding energy per nucleon for 56fe. compare to 62ni at 8.795 mev/nucleon. the atomic mass of 56fe is 55.9349375 u.
Binding energy for Fe is 8.52 MeV and for nickel is 554.3 MeV.
Binding energy : It is the minimum amount of energy required to disassemble or break down an atom's nucleus into the subatomic particles, which are protons and neutrons.
The average energy required to release a nucleon from a nucleus is called binding energy per nucleon.
Binding Energy , BE=Δmc2, where Δm is the mass defect
Here , Δm=Mass of nucleon- Mass of nucleus=26 [tex]m_{p[/tex] +30 [tex]m_{n[/tex] -m 56 Fe
Hence,
BE = (26 [tex]m_{p[/tex] +30 [tex]m_{n[/tex] -m 56 Fe) [tex]c^{2}[/tex]
where [tex]m_{n[/tex] = 1.00866 u
[tex]m_{p[/tex] = 1.00727 u
BE=[26×1.00727+30×1.00866−55.936]×931
=0.51282×931
=477.435 MeV
Binding energy per nucleon = 477.435/56 MeV
=8.52 MeV.
Now we will calculate binding energy for nickel
Then mass defect,
Δm=28m H +34m n − 28 34 m
Δm=28×1.008+34×1.0087−61.9237
Δm=0.5961u
Hence binding energy,
B.E.=Δm×931
B.E.=0.5961×930=554.3 MeV
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Two identical pendulums have the same period when measured in the factory. While one pendulum swings on earth, the other is taken on a spaceship traveling at 95% the speed of light. Assume that both pendulums operate under the influence of the same net force and swing through the same angle. When observed from earth, how many oscillations does the pendulum on the spaceship undergo compared to the pendulum on earth in a given time interval?
The spaceship's pendulum experiences fewer oscillations in a given time period than the pendulum on Earth.
Because of the effect of time dilation, a clock moving with respect to an observer appears to run more slowly than a clock that is at rest in the observer's frame. When observed from earth, the pendulum on the spaceship takes longer to complete one oscillation. Therefore, the clock associated with that pendulum will run slower (gives fewer oscillations as seen from the earth) than the clock associated with the pendulum on earth.
Oscillations is the process of any quantity or measure repeatedly varying its equilibrium value in time. Another definition of oscillation is the periodic variation of a substance between two values or around its core value.
An object's mechanical oscillations are referred to as vibrations. However, oscillations also happen in dynamic systems, or to be more precise, throughout all of science. Even our heartbeat generates vibrations. Oscillators, meanwhile, are described as having motion toward an equilibrium point.
To put it simply, oscillation motion is the word used to describe a mechanical system's item swinging from side to side.
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Answer to this required:
(I just need some words for each answer, and I will form the full answer myself)
(thanks)
All the prompts indicated above are related to the qualities of light in Physics parlance.
1) When the left hand is lifted in front of the mirror, the picture depicts the right hand rising. This is due to the picture being reversed laterally. In the case of a flat mirror, it is produced.
2) Keep in mind that convex mirrors are commonly employed in shop security mirrors because the reflective surface bulges outwards toward the light source, resulting in a distorted picture but an increased range of view. This broad perspective is ideal for visually covering a large area.
3) A piece of paper appears white in the sunshine because it reflects all colors of light. When seen in red light, it appears red.
4) A rainbow is created by the interaction of sunlight and atmospheric circumstances. As light reaches a water droplet, it slows and bends as it transitions from air to denser water. The light bounces off the interior of the droplet, splitting it into wavelengths (or colors).
5) One effect of refraction is the bending of light as it passes through a medium with a different refractive index. For example, when light travels from air into water, it is bent, or refracted, causing objects to appear distorted or shifted. This is why objects underwater may appear closer or larger than they actually are.
6) The Newton disc, also known as the Disappearing Color Disc, is a well-known physics experiment in which a revolving disc with multiple colored parts becomes white when spun very quickly.
What are the qualities of light?Some of the qualities of light are as follows:
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