gear b supplies 15 kw of power, while gears a, c and d withdraw 6 kw, 4 kw and 5 kw, respectively.
Answers
The figure shows the gears A, B, C, D. The minimum required diameter of the shaft is d = 25 mm.
The angular velocity of the shaft,
ω = 600 rev/min × 1/60 min/s × 2π rad/rev = 20 π rad/s
The torque exerted on the gears A, C, D are
T a = P a/ω = 6(10³)/20π = 95.49 N m
T c = P c/ω = 4(10³)/20π = 63.66 N m
T d = P d/ω = 5(10³)/20π = 79.58 N m
Segment BC of the shaft is critical as it is subjected to a greater internal torque.
τ a = T bc C/J
75 × 10⁶ = 143.23(d/2) /[ π/2 × (d/2)⁴]
d = 0.02135 m = 21.35 mm
According to observation, gear D's relative twist angle to gear B is the largest.
The requirement Ф b/d = Σ ([Ti Li)/(Ji Gi)] = 0.05
T bc L bc/ (J Gst) + T cd L cd/ (J Gst) = 0.05
0.6/ [ π/2 × (d/2)⁴ 75 × 10⁹] × (143.24 + 79.58) = 0.05
d = 0.02455 m = 24.55 mm ≈ 25 mm
Thus, the minimum required diameter of the shaft is d = 25 mm.
The question is incomplete. The complete question is 'If the shaft is made of steel with the allowable shear stress of τ a = 75 M Pa, and the relative angle of twist between any two gears cannot exceed 0.05 rad, determine the required minimum diameter d of the shaft to the nearest milli meter. The shaft is rotating at 600 rpm.'
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Related Questions
the position of a small object is given by x=34+10t−2t3, where t is in seconds and x in meters.
Answers
(a) The instantaneous velocity at 0 s is 10 m/s and at 3 s is -44 m/s.
(b) At time t = 1.29 s, the instantaneous velocity is zero.
Given that,
x = 34 + 10 t - 2 t³
v = dx/dt = 10 - 6 t²
v = 10 - 6 t² ----(1)
(a) Replacing t = 0 in (1)
v = 10 m/s
If t = 3 s, then
v = 10 - 6 (3)² = 10 - 54 = - 44 m/s
(b) Let us determine time from (1)
If v = 0, then
10 - 6 t² = 0
6 t² = 10
t² = 1.67
t = 1.29 s
The question is incomplete. The complete question is '(a) Find the instantaneous velocity of the object at 0 s, and at 3.0 s. (b) At what time between 0 and 3.0 s is the instantaneous velocity zero?'
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1.24 × 107 kilograms. Write the mass in standard notation.3
Answers
The product of 1.24 and 107 kilograms expressed in standard form is 1.3268 x 10² kg.
What is standard form?A standard form is a form of writing equations, numbers, or expressions using a certain set of rules.
Standard form is a method often used by scientists to express large number into a more condensed form, usually in power of ten.
The product of 1.24 and 107 kilograms expressed in standard form is calculated as;
1.24 x 107 kg = 132.68 kg
in standard form = 1.3268 x 10² kg
Thus, numbers expressed in standard forms makes it very easy to represent and recall the number.
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if the type i error (α) for a given test is to be decreased, then for a fixed sample size n
Answers
Type I error, for a particular test is reduced. There will be an increase in Type II error. Regarding Type I and Type II errors of a significance test, the following statements are accurate:
Test power is equal to 1 - P(Type II error)The probability of a Type I error increases with sample size for a fixed significance level. If the true population parameter value differs more from the assumed parameter value indicated in the null hypothesis, the likelihood of a Type II error would diminish.For a fixed sample size n, a Type II mistake is more likely to occur when a Type I error is less likely to occur.Test power is equal to 1 minus P. (Type II error). This is accurate; a test's power is described asP = 1 - β, where β is the likelihood of making a Type II error and P is the test's power.P(Type II mistake) = P - 1 (Type I error). This is untrue; the likelihood of making a Type II error is and is related to the test's power by P = 1 -. The significance level (the parameter) defines the likelihood of making a Type I error.
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consider two children sitting on a merry-go-round, with one closer to the outer edge and one closer to the center.
Answers
What is the force of sliding?
Answers
The force of sliding is the force required to keep an object moving at a constant velocity while it is sliding on a surface.
When an object is sliding on a surface, it experiences a force of friction that acts opposite to its direction of motion. This force of friction is what keeps the object moving at a constant velocity, rather than accelerating or decelerating.
The magnitude of the force of friction depends on the properties of the two surfaces in contact, such as their roughness and the type of material they are made of, as well as the normal force, which is the force exerted perpendicular to the surface. If the object is moving at a constant velocity, the force of friction is equal in magnitude to the force applied to the object, but opposite in direction.
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A 0. 28 kg stone you throw rises 34. 3 m in the air. The impulse your hand receives from the stone while it throws the stone is.
Answers
A 0.28 kg stone you throw rises 34.3 m in the air. The impulse our hand receives from the stone while it throws the stone is 7.3 N.s
What is Impulse?
Impulse can be defined as the sudden force acting on an object for a short interval of time. Conventionally represented by “J”. Sometimes by “imp” and expressed in “N.s”.
Impulse = change in momentum
the stone rises to a height of 34.3m
final velocity of the stone is 0m/s
so applying equation of motion:
V2 - U2 = 2gS ( where S is the height, g is value of gravity )
0 - U2 = 2(-9.8)×34.3
U2 = 672.3
U = √672.3
= 26m/s
so initial velocity is 26m/s.
Impulse = change in momentum
Impulse = mv - mu
= 0 - (0.28× 26)
= - 7.3 N.s
So the impulse our hand receives from the stone while it thrown the stone is 7.3 N.s
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a spring with spring constant 50 n/m is suspended from the ceiling with a 2.0 kg wood block hanging from the bottom. when a 10 g bullet is fired vertically upward into the block, stopping inside, the block begins to oscillate with its highest point 45 cm above its initial level. what was the speed of the bullet?
Answers
After being fired vertically upward into the block at a speed of 403.4 m/s, a 10 g bullet stops inside the block and the block starts to oscillate, with its highest point rising 45 cm above the beginning level.
Calculation:
Mu+0=(m+M)V
V=mu/m+M= velocity of system after collision
1/2(m+M)V² = 1/2kx²
(m+M)*m²u²/(m+M)² = kx²
u²=(2+10^-2)*40*0.45^2
u=√16.28 *10²
u=403.4 m/s
Speed is the rate of movement along a path, whereas velocity is the speed and direction of an object's motion. In other words, speed is a scalar value, but velocity is a vector. Velocity has magnitude and direction because it is a vector quantity. The distance (d) traveled over the change in time is the definition of speed (t).
Speed is a unit of measurement for how swiftly a body moves. The rate at which an object's location changes in any direction is referred to as speed. The distance traveled divided by the trip time is how speed is calculated.
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why does the core of a star collapse after fusion has stopped? the strong nuclear force binds extra material in the core of the star, increasing the density of the core and leads to the collapse of the star. the pressure from the core causes the star to collapse. the gravitational attraction of the material in the star is large enough to overcome the outward radiation pressure from the core. the formation of a black hole pulls additional material into the core, resulting in the collapse of the core.
Answers
The force of gravity becomes greater than the force from internal pressure and the star begins to collapse.
What is star life cycle?
The gravity of a star holds a sphere of gas together. Our own Sun is the star that is nearest to Earth. A star's existence involves a perpetual fight with gravity. The star is continually being pushed toward collapse by gravity. However, the star's core is extremely hot, which exerts pressure on the gas. The star enters a state of equilibrium known as hydrostatic pressure when this pressure balances out the gravitational pull. As long as a star maintains this balance between pressure pushing it forth and gravity drawing it in, it will function normally. The majority of a star's lifespan is characterized by nuclear processes in the star's core, which provide the internal heat and radiation. The main sequence refers to this period of the star's existence.
A star is shrinking before it enters the main sequence, and its core isn't hot or dense enough to start nuclear reactions yet. Thus, the heat produced by the contraction serves as hydrostatic support until it reaches the main sequence.
Hence, The force of gravity becomes greater than the force from internal pressure and the star begins to collapse.
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What does 1310nm mean?
Answers
1310nm is the wavelength of light used in fiber optics.
What is optics?
Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. It includes the behaviour of both visible and invisible forms of light, such as infrared and ultraviolet radiation. Optics usually describes the behaviour of visible, ultraviolet, and infrared light. Topics of study include light emission, reflection, refraction, and interference.
It is part of the infrared spectrum and is used for short and long distance communication via optical fibers. This wavelength is used as it is able to travel long distances with minimal power consumption and signal attenuation.
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help me solve this exercise pls
Answers
Explanation:
1. 19.6m/s
2. 274.4 m/s²
3. 28
A freighter has a horizontal cross-sectional area of 2800 m2 at the water line. When loaded, the ship lowers 7. 5 m. What is the mass of the load ?.
Answers
2800 sq m of cross-sectional area raised 6 m, mass therefore 2800 x 7.5 = 21,000
Numerous structural computation techniques make use of the cross-sectional area. Navier's formula is arguably the one that uses the cross-sectional area the most frequently.
We only need to compute the volume because we already know the ship's horizontal cross-sectional area, which is 2800 m2, and we will learn that this figure remains constant for the entire 9.5 of the ship's height from the waterline to the new waterline after unloading: V is for volume, A is for area, and H is for height. V= 2,800 * 7.5 = 21000 m3 Therefore, the volume of freshwater delivered in this year was 21,000 cubic metres mass.
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What has the lowest frequency but has the highest energy?
Answers
On the electromagnetic spectrum, gamma rays have the highest frequencies, energies, and shortest wavelengths.
What do you mean by wavelength?When electromagnetic radiation such as radio waves, light waves, or infrared (heat) waves travel through space, they leave behind distinctive patterns. Each wave does have a distinct size and shape. Wavelength is the separation between peaks (high points).
What do you mean by frequencies?The term "electromagnetic spectrum" (EMS) refers to the entire spectrum of electromagnetic radiation that is currently understood. Wavelengths rise from roughly 10-18 m to 100 km, and frequencies fall from 3 x 10²⁶ Hz to 3 x 10³ Hz in this range.
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determine the landing velocity of a pole vaulter who cleared a height of 6.00 m. group of answer choices 2.70 m/s 10.8 m/s 21.6 m/s 5.40 m/s
Answers
The landing velocity of a pole vaulter who cleared a height of 6.00 m is 10.8m/s.
To determine the landing velocity of a pole vaulter, you will need to know the initial velocity of the vaulter at the time of takeoff and the height of the pole vault. Using these two pieces of information, you can use the equation for kinetic energy to determine the landing velocity.
The equation for kinetic energy is:
KE = (1/2) * m * v^2
where KE is the kinetic energy, m is the mass of the object, and v is the velocity.
In this case, you can use the given height of 6.00 m and the kinetic energy equation to solve for the vaulter's landing velocity. Since the vaulter starts from rest at the ground, their initial velocity is zero. The mass of the vaulter can be assumed to be constant, so it can be treated as a constant in the equation.
Plugging in the values, you get:
KE = (1/2) * m * v^2
(1/2) * m * v^2 = m * g * h
where g is the acceleration due to gravity (9.8 m/s^2) and h is the height of the pole vault.
Solving for v, you get:
v = sqrt(2 * g * h)
Plugging in the values, you get:
v = sqrt(2 * 9.8 m/s^2 * 6.00 m)
v = sqrt(118.8)
v = 10.8 m/s
So, the landing velocity of the pole vaulter who cleared a height of 6.00 m is 10.8 m/s.
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Patients with agraphia ______.are suffering from Wernicke's aphasiawould have Broca’s aphasiacannot read a map or graphhave the inability to write
Answers
Expressive aphasia is also known as broca aphasia. Broca's aphasia patients have difficulty speaking, although they are able to understand language.
They can organise their thoughts and decide what to say. they are unable to construct sentences. You speak incomprehensibly to other people when you have Wernicke's aphasia. Reading comprehension was consistently weaker in three patients with Wernicke's aphasia than it was in the other two. The paraphasia of speech, repetition, and naming highlight the aphasic aspect of the condition even if this syndrome mimics alexia with agraphia. Furthermore, prior... Wernicke's aphasia can be treated, however some patients completely recover on their own. Even after serious loss, linguistic capacity often returns in children under the age of eight. Speech therapy is typically necessary. Recovery often occurs in three
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a concave makeup mirror is designed so that a person 25 cm infront of it sees an upright image at a distance of 50 cm behind the mirror. what is the radius of curvature of the mirror ? what is the magnification of the image and is it real or virtual?
man. this is confusing help!
Answers
Explanation:
To calculate the radius of curvature of a concave makeup mirror that produces an upright image at a distance of 50 cm behind the mirror when an object is placed 25 cm in front of it, you can use the formula:
R = 2f
where R is the radius of curvature and f is the focal length of the mirror.
To find the focal length of the mirror, you can use the formula:
1/di + 1/do = 1/f
where di is the distance of the image from the mirror, do is the distance of the object from the mirror, and f is the focal length of the mirror.
In this case, do is equal to 25 cm, and di is equal to 50 cm. Plugging these values into the formula gives:
1/50 cm + 1/25 cm = 1/f
Solving for f gives:
f = (50 cm * 25 cm) / (25 cm - 50 cm) = -25 cm
Since the focal length is negative, this indicates that the mirror is concave.
Plugging the value for f into the formula for the radius of curvature gives:
R = 2 * (-25 cm) = -50 cm
This means that the radius of curvature of the mirror is 50 cm.
To calculate the magnification of the image, you can use the formula:
m = -di/do
Plugging in the values for di and do gives:
m = (-50 cm)/(25 cm) = -2
This means that the magnification of the image is -2.
Since the magnification is negative, the image is virtual and is located on the same side of the mirror as the object. Additionally, since the magnification is less than 1, the image is inverted relative to the object.
given ωn = 20 rad/s and δst = 0.05 m, the frequency response function of the vibration system is
Answers
The system's steady-state response is 0.05 m for F(t) = 200 cos(10t) N. The steady-state response of the system is 0.10 m for F(t) = 200 cos(20t) N.
Part A's excitation frequency is 10 rad/s, while the system response frequency is 20 rad/s. According to the frequency response function, the steady-state response has a magnitude of 0.25 m.
Therefore, the steady-state response is 0.25 m cos (10t + 0.8 radians), where 0.8 radians is the phase angle of the system response.
Both the system response frequency and the excitation frequency for part b are 20 rad/s. According to the frequency response function, the steady-state response has a magnitude of 0.5 m.
The question is incomplete I answered it in general way.
Given ωn= 20 rad/s and δst = 0.05 m, the frequency response function of the vibration system is given. If the excitation function is a. F(t) = 200 cos(10t) N, b. F(t) = 200 cos(20t) N, Using the figures above to obtain the steady-state responses of the system.
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What is the half-life of a radioactive nucleus?
Answers
A radioactive nucleus's "half-life" is one of its key characteristics due to the type of radiation it emits. It establishes how rapidly it will decay and how long its radiations will cause us to be concerned.
What does radioactivity's half-life mean?A radioisotope's physical half life (Cs-137 = 30 years) is the amount of time it takes for its quantity to decline by half. A radionuclide's biological half life (CS-137 = 70 to 100 days) is the amount of time it takes for half of it to leave the body.
What are the radioactive nucleus' half-life and average life?The radioactive half-life is 0.693 times longer than the normal lifetime, so take note that they are not the same thing. The illustration that raises the most questions is the with a half-life of 10.3 minutes and an average lifetime of 14.9 minutes, the free neutron decays.
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what is the weight of a 3.67kg ball?
Answers
Answer:
mass 3.67 kg, density 600 kg/m3) is fitted
with lead (density 1.14 * 10^4 kg/m3) so that it floats in water with
0.900 of its volume submerged. Find the lead mass if the lead is fitted
to the block’s (a) top and (b) bottom.
Watch the following terms with the correct numbers in the figure below 7.- -5 6. (inside cavity) Modified from Designua / Shutterstock.com 1 A. Zygote 2 B. Blastocoel V 3 C. Inner cell mass V 4 D. 4-cell stage 5 E. Morula V 6 F. 2ry oocyte (egg) 7 G. Blastocyst 00 H. Blastomeres
Answers
1. Zygote 2. 2ry oocyte (egg) 3. Morula 4. 4-cell stage 5. Blastocyst 6. Blastomeres 7. Inner cell mass - terms with the correct numbers.
What is cell division?The process by which a parent cell divides into two daughter cells is known as cell division. Cell growth and chromosome replication precede cell division, which often happens as part of a longer cell cycle.
Meiosis is a type of cell division that produces haploid gametes for sexual reproduction by reducing the number of chromosomes from two of each type in the diploid parent cell to one of each type in the daughter cells. Mitosis is a type of cell division that produces daughter cells that are genetically identical to the parent cell.
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When a horizontal force of magnitude 14.7 Newton is applied to a body of mass 4 kg which is resting on a rough horizontal plane, the body is found to be in limiting equilibrium.
Calculate the resultant reaction P (Newton) acting on the body.
Answers
The resultant reaction P (Newton) acting on the body is determined as 14.7 N.
What is limiting equilibrium?
Limiting equilibrium means that an object is just on the threshold of motion. In other words, a slight application of force will result in the motion of the body.
The resultant reaction P (Newton) acting on the body is calculated by applying Newton's second law of motion as follows;
∑F = ma
where;
m is the mass of the bodya is the acceleration of the bodyF - Ff = ma
where;
F is the applied forceFf is the resultant reaction acting on the bodyIf the body is in equilibrium, the acceleration of the body is zero.
F - Ff = m(0)
F - Ff = 0
F = Ff
F = Ff = 14.7 N
Thus, the resultant reaction acting on the body is a function of the applied force and the direction of the force as shown in the above calculation.
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A toy rocket has a velocity of 40 m/s and a kinetic energy of 2000 j. calculate its mass.
Answers
Answer:
2.5 kg
Explanation:
Kinetic Energy = 1/2 m * v^2
2 * KE / v^2 = m 2 * 2000 / ( 40^2) = 2.5 kg
Is sliding friction is less than static friction True or false?
Answers
Sliding contact is slightly less than static friction for a pair of specified surfaces. because moving an object in motion is simpler than moving an object at rest.
Why does sliding friction occur?
Small, microscopic imperfections on the moving items' surfaces cause sliding friction. The deformation and restoration of the materials in contact result in rolling friction. The weight of something like the bodies in motion, the texture of the surfaces, and other factors might affect sliding friction.
What features define sliding friction?
When moving in a plane normal to the surface, the force from sliding friction is precisely proportional to the weight. In particular, the applied load will be equivalent to the weight of the object if the person is sliding across a horizontal surface.
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How does an inclined plane increase force?
Answers
Acceleration will increase as the angle of incline does, and as a result, force will as well.
The gravitational force acting on the cart increases as the slope of the incline increases, causing it to accelerate more quickly.The ramp's steepness will cause an increase in inclination. As a result, the acceleration increases as the inclination angle increases. This acceleration causes the object to descend with greater speed.
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What is the principle of interference in Young's double-slit experiment?
Answers
When an integral number of wavelengths (0,, 2,...) is equal to the difference in routes from the Young's two slits to a spot on the screen, constructive interference occurs.
What underlies the interference theory?In physics, interference is a phenomena when two waves join by adding their displacements together at each and every point in space and time, resulting in a new wave that is either larger, smaller, or the same amplitude as the original.
Why do double-slit interferences happen?Due to Huygens's principle, when a coherent plane wave enters a double slit, the slits can only allow point sources to travel through them, splitting the plane wave into two distinct radial waves that then interfere with one another.
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What is the stopping potential if the incident light has a wavelength of 180nm?
Answers
The photoelectric effect's cutoff wavelength is 295.98 nm. (b) The stopping potential is 2.70625 V if the incident light has a wavelength of 180 nm.
What is the formula for calculating stopping potential?How to get KEmax=|eV0|, the equation for a photoelectron's stopping voltage. Hint: The stopping voltage (or stopping potential) refers to the voltage difference required to stop electrons from passing between plates and creating a flow in the photoelectric analysis.
How do you determine stopping potential photoelectric?Derivation of the Photoelectric Effect and the Stopping Potential Formula
According to Einstein's photoelectric equation
(0.6+2.14)eV
1242eVnm
=454nm
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Where is magnetic strip used?
Answers
Answer:
Magnetic strips can help keep small toys organized in your child’s room or play area. Attach a magnetic strip to the wall and use it to hold small, metal toy cars and trains. One of the most common ways to use magnetic strips is to hold kitchen knives and utensils in the kitchen.
Explanation:
hope this helps!
Stranger anxiety is less likely to appear in conjunction with Multiple Choice absence of the mother.
О familiar settings.
O feelings of i
O nsecurity
O unfamiliar settings.
Answers
Option B. feelings of i A child's worry caused by a stranger is known as "stranger anxiety."
Answer. Strangers or strange environments are frequently what cause stranger anxiety. Therefore, given that the setting is familiar and there is no perceived threat from outsiders, it is less likely to emerge in a multiple-choice context.
When a stranger approaches, sobbing is a sign of stranger anxiety. It is typical when it begins at around 8 to 9 months of age and typically goes away by age 2. The infant's developmental process of separating the familiar from the unknown is linked to stranger dread. A infant has separation anxiety when they are separated from the person who loves them the most, usually their mother. When: Stranger anxiety
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1. Identify the position of the decimal point in the number
Answers
A decimal point is a point or a dot that is used to distinguish between a whole number and its fractional component.
What is a Decimal point?It also goes by the name Decimal Mark. The decimal point's symbol is (.). Decimals are also used frequently in everyday life. The symbol of decimal point is (.).
The place value of a decimal number is recognised according to the position of the dot or decimal point. The first digit to the right of the decimal point indicates the number of tenths and the second digit to the right indicates the number of hundreths. For example, 0.8 can be written as 8/10 as a fraction.
Note that an overview was given as the information is incomplete.
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How do you find the cutoff wavelength and frequency of a photoelectric effect?
Answers
The formula to calculate cutoff frequency and wavelength is hfc = Φ, λc = c/fc respectively.
What is cutoff wavelength?The cutoff wavelength is the lowest wavelength at which light may dislodge electrons from a metal plate.
The cut-off wavelength, also known as the threshold wavelength, is the smallest wavelength of light that will not cause electrons to be emitted from a metal surface. The wavelength of the light must be less than the threshold wavelength if no electrons are expelled.
What does "cutoff frequency" mean?Where the signal is cut off is determined by the cutoff frequency. Lowpass filters are all that simpler synthesizers have. If the cutoff frequency is set at 2500 Hz and the signal comprises frequencies between 20 and 4000 Hz, frequencies over that frequency are filtered.
The formula to calculate cutoff frequency is hfc = Φ
where h = plank's constant
f = frequency
c = speed of the light
The formula to calculate cutoff wavelength is λ = c/f
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What are the example of realistic fiction?
Answers
Young readers are the target audience for some of the best realistic fiction publications. Consider the novels The Outsiders by S.E. Hinton, The Hate U Give by Angie Thomas, or Wonder by R.J. Palacio.
What does children's realistic literature look like?
As Auggie makes friends, copes with bullying, and demonstrates to the school what a wonder he truly is, the novel follows him through his fifth-grade year. It exemplifies how kids adapt, in the words of my friend who teaches elementary school.
What constitutes a story's realistic fiction?Contemporary/Realistic: Fiction that is realistic depicts our world and society through the use of fictional characters and settings. Growing up and facing personal and societal issues are the main themes. Characters in this genre are shown learning to understand one another and themselves.
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