2.) Explain why the starting angle doesnt impact the time it takes the pendulum to swing back and forth?​

Answers

Answer 1

The starting angle θθ of a pendulum does not affect its period for θ<<1θ<<1. At higher angles, however, the period TT increases with increasing θθ.

The relation between TT and θθ can be derived by solving the equation of motion of the simple pendulum (from F=ma)

−gsinθ=lθ¨−gain⁡θ=lθ¨

For small angles, θ≪1,θ≪1, and hence sinθ≈θsin⁡θ≈θ. Hence,

θ¨=−glθθ¨=−glθ

This second-order differential equation can be solved to get θ=θ0cos(ωt),ω=gl−−√θ=θ0cos⁡(ωt),ω=gl. The period is thus T=2πω=2πlg−−√T=2πω=2πlg, which is independent of the starting angle θ0θ0.

For large angles, however, the above derivation is invalid. Without going into the derivation, the general expression of the period is T=2πlg−−√(1+θ2016+...)T=2πlg(1+θ0216+...). At large angles, the θ2016θ0216 term starts to grow big and cause 


Related Questions

Voyager 1 and Voyager 2. (Note that Plagiarism will result in an automatic Zero. Do not cut and paste. Put things in your own words. please.)

Your job is to research the following two famous satellites and report on the following information about both. Make sure to be specific about what information goes with with one.

1. When were they launched?

2. What were there purposes?

3. Which nation/s were involved in building them?

4. What information have they sent back to earth?

5. What did scientists put on them for extra terrestrial life to find? Make sure to list them and describe what they are and do.

6. Are they still working?

7. Where are they located and where are they going?

8. How fast are they traveling?

9. At least on interesting fact about each.



NEXT - Research at least 5 more satellites and find the following information about them.

1. When were they launched?

2. What were their purposes?

3. Which nation/s were involved in building them?

4. What information have they sent back to earth?

5. How much did they cost to build?

6. Are they still working?

7. Where are they located and where are they going?

8. How fast are they traveling?

9. At least on interesting fact about each.

10. Copy and past a picture of each onto your page.

Answers

The voyager program was a space exploration program created to be the first to travel and explore the outer reaches of our solar system and beyond.

The voyager space probes were launched in 1977 and are still functional to this day, making them the longest running space exploration mission. The purpose of the voyager space probes is to relay information back to earth on the various planets and interplanetary objects they fly by.

Through these missions, NASA has received information regarding:

Jupiter's cloud formations and storm systems Volcanic activity on the Jupiter moon of IoInteresting discoveries about the rings of Saturn Voyager 2 discovered a huge magnetic field surrounding Uranus 10 additional moons seen to orbit Uranus

and much more, making it already an extremely successful mission.

The voyager spacecrafts were designed and built by the United States of America with government funding and contributions from other renowned space agencies.

As of 2021, voyager 1 is moving with a velocity of 61 thousand km per hour , with voyager 2 moving at roughly 55 thousand km per hour putting them beyond the outer reaches of the inner solar system. This along with the many important finds they are responsible for make them worth the 890 million dollars they cost to build.

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Evelyn learns that a sound wave can be recorded electronically as an analog signal or as a digital signal. She investigates these two signal types. She records her voice using a tape recorder, which uses an analog signal to produce sound when played back. She also records her voice using a computer, which uses a digital signal to produce sound when played back. Evelyn replays each recording 100 times.

a. Describe a difference that Evelyn would most likely hear between the two recordings after being replayed 100 times.

b. Explain why the two recordings would sound different after being replayed 100 times.

Answers

Answer:

can u help me with this too, i currently have it in an assignment and i dont know the answer

Explanation:

how do mass and distance affect the force of gravity?

Answers

[tex]\color{Black}\huge{Answer} [/tex]

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

Carbon dioxide in the blood is removed from the body through the A. kidneys B. lungs C. mouth D. skin​

Answers

Answer:

C) Mouth

Explanation:

When we inhale air, it contains oxygen. The lungs take in oxygen and the heart and the other body parts use it.Carbon dioxide is removed from the blood mouth when we exhale.

what is the equation of universal law of garavitation

Answers

Answer:

[tex]F= \frac{GmM}{ {r}^{2} } [/tex]

G= gravitational constant

F= Gravitational force

m= mass of object 1

M= mass of object 2

r= distance between two objects

ai. What are ruminants?

aii. Give two examples of ruminants.

bi. What is force?

bii. State four effects of forces on a body.

biii. Mention three sub-atomic particles. ​

Answers

Ruminants are the mammals that can digest cellulose from plant and chew the cud

aii Cow and goat

bi A force is a push or pull upon an object resulting from the object interaction with another object

bii 1 Changes it's shape or size

2 To start moving

3 To stop moving

4 To accelerate or decelerate

biii Proton neutron and electron

Answer:

Same answer please. Hope it helps.

pls help will give brainliest

Answers

Explanation:

the correct answer is Option 5.√½gh.

hope this helps you.

PLS HELP WITH STEPS I'LL MARK U BRAINLISTT

Answers

35 m because if you count the space he took back it’s equivalent to 15 meters and so 20 + 15 = 35

Answer:

The total distance covered by the student is 35 meters because -15+ 0 + 20 = 35.

Find the 10 action words in the word puzzle


help me pls

Answers

I hope this helps.

Cheers.^^

(I could not find one of them, but the other nine are found.)

PLS PLS HELP I'LL MARK YOU BRAINLISTTT!!!!

Answers

Answer:

i think it might be 5

sry if im wrong

I think it might be ,5


-15 +20 =5

An object is moving 45 m/s and a mass of 34 kg , What is the kinetic energy?

Answers

Answer: KE = 34.425 kJ

Explanation:

KE = (1/2) mv^2

KE = (0.5)*(34kg)(45m/s)^2

KE = (0.5)*(34kg)(2025m^2/s^2)

KE = 34425 kg*m^2/s^2

1 Joule = 1 kg*m^2/s^2

KE = 34.425 kJ

What makes carbohydrates good at storing energy?

Answers

After we eat, our glucose levels rise when carbohydrates are fully broken down. This alarms beta cells (in the pancreas) to release insulin into our bloodstream and altogether insulin allows the glucose to enter our cells and be utilized for energy. Some carbs are used for energy and the rest is stored as fat!

Hope I helped in some way :)

A water bottle contains 15.0 ounces of water. A person drinks 0.5 ounces per minute. How many hours will it take to drink all of the water?

Answers

It would take 30 minutes

You would do 15.0 divided by 0.5

3. Electric cars are being rapidly developed to replace gasoline powered cars, but the problem is not easy because it is hard to find as good a way as gasoline for storing and transporting energy.
a. How much chemical energy in Joules are in 15 gallons of gasoline?
b. The energy capacity of batteries, such as used in the Tesla cars, are given in kW hrs. Their standard battery is 7.0 kW hrs and the cost is a substantial fraction of the price of the car. What capacity would a battery have to be equal to the energy in 15 gallons of gas? ​

Answers

To convert 15 gallons of gasoline to chemical energy in joule, multiply the figure above by 15 which is 1,800,000,000 Joules. Answer to b part is 60KWhrs

a.) A gallon of gasoline in most countries contain about 120 millions joule of chemical energy.

To convert 15 gallons of gasoline to chemical energy in joule, multiply the figure above by 15. That is,

Chemical energy = 15 x 120000000 = 1,800,000,000 Joules

b.) Also, the amount of energy cost per gallon of gasoline produced in most countries is equivalent to about 4 kilowatt hours. The capacity that would be equal to the energy in 15 gallons of  gasoline that a battery should have will be

Capacity = 4 x 15 = 60 KWhrs

Therefore, the capacity a battery will have to be equal to the energy in 15 gallons of gasoline will be 60 KWhrs.

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What two things form ionic bonds

Answers

Answer:

ionic bonds are formed between cations and anions

Explanation:

A cation is formed when a metal ion loses a valence electron while an anion is formed when a non-metal gains a valence electron. They both achieve a more stable electronic configuration through this exchange.

if a penny is dropped from a height of 100m, how fast would it be going just before it hit the ground ?

Answers

Hi there!

To find the final velocity of an object dropped from rest, we can used the simplified equation:

vf = √2gh

Plug in the given values: (g = 9.8 m/s²)

vf = √2(9.8)(100) ≈ 44.272 m/s

Of the two forms of friction you studied,_____ friction is the one that must be overcome in order to start something moving.​

Answers

Answer:

static friction will be your answer

Calculate the acceleration of the two masses shown in the picture above.
A. 0.77 m/s^2
B. 3.92 m/s^2
C. 8.62 m/s^2
D. 5.91 m/s^2

Answers

Hello!

We can begin by summing the forces acting on each mass. (Tension is CONSTANT because the string is both frictionless and massless).

On the 3 kg block: (Ignore forces acting in the vertical direction since there is no motion in that axis)

∑F = -M₁gsinФ + T

On the 8 kg block:

∑F = -T + M₂g

Sum the forces:

∑F = -M₁gsinФ + T -T + M₂g

∑F = -M₁gsinФ + M₂g

Divide by both masses to get the acceleration:

[tex]a = \frac{-M_1gsinФ + M_2g}{m_1+m_2}[/tex]

Plug in values: (g = 10m/s²)

[tex]a = \frac{-(3)(10)(sin30)+8(10)}{3+8} = 5.91 m/s^2[/tex]

insert two arithmetic means between 13 and 18.5​

Answers

Answer:

Describe the process of boiling

Which event can be excluded from a list of interactions among Earth's spheres?
A solar flares
B volcanic eruption
C fracking for natural gas
D hurricane

Answers

Hurricane is the answer

what region of the solar spectrum can cause a dangerous sunburn

Answers

:

ultraviolet B

Explanation:

A person is riding a skateboard on a U-shaped ramp. At which point does the person have the greatest potential energy?(1 point)

on the downswing as the person is dropping into the ramp
on the downswing as the person is dropping into the ramp

at the top of the ramp before dropping in
at the top of the ramp before dropping in

in the middle of the ramp at the lowest point
in the middle of the ramp at the lowest point

on the upswing as the person is coming up the other side of the ramp

Answers

Answer:

at the top of the ramp before dropping in

Explanation:

Potential energy is basically the build up of energy before it's released.

A 10 kg box of iPhones is pulled across a table by a horizontal force of 80 N with a frictional force of 10 N opposing the motion. Calculate the acceleration of the box

Answers

F = m*a you can move the equation around or leave it and divide later. Let’s move it around so you know how. We want the equation to equal a so we divide F by m.

Force(F) is 80 minus opposing 10 = 70N. Divided by the 10kg(m or mass) give you a final answer if 7m/s^2

nếu tăng khoảng cách giữa hai điểm lên 4 lần thì lực tương tác tĩnh điện giữa chúng sẽ

Answers

Answer:

điện giữa chúng s

Explanation:

Tape a piece of white paper to your wall.Aim the flashlight at the CD so that it makes the rainbow reflect onto your blank paper.​

Answers

Answer:

where is the question girl

Compared to permanent magnets, why are electromagnets more useful in
many modern technologies?
O A. In permanent magnets, the strength of the magnetic field is more
consistent.
O B. To use an electromagnet, a power supply is not necessary.
O C. Strong permanent magnets are too large to use.
O D. By controlling the current, electromagnets can be turned on and
off.

Answers

We want to see why electromagnets are more useful in modern technologies.

We will see that the correct option is D:

"By controlling the current, electromagnets can be turned on and  off."

An electromagnet is, as the name implies, a magnet that works with a power supply.

Why these are more useful than normal magnets?

Because you have more control over them. By controlling the current, you not only can turn it on and off, but you also could regulate the strength of the magnetic field.

This extra control is what makes the electromagnet a better option than a permanent magnet.

So the correct option is D: "By controlling the current, electromagnets can be turned on and off"

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Help pleaase

I'll brainliest the correct answer

Answers

Answer:

1) writing homework

2) Helping homeless people

3) Teaching

Explanation:

1)You can finish your homework by your skill.

2)You can help homeless people buy your working skill.

3) You can teach people by your educative skill.

Please give Brainliest

A lawyer most likely has __________. a.spatial intelligence b.practical intelligence c.analytical intelligence d.creative intelligence

Answers

The type of intelligence required by a profession depends on its job description. Lawyers most likes have analytical intelligence.

A renowned psychologist named Howard Gardner devised a theory of multiple intelligence. This means that nobody is really not intelligent because a person must posses one or more of these multiple intelligence.

A lawyer has a lot to do with analytic reasoning and comparison of evidence to determine their validity. This task requires a strong analytical mind hence a lawyer requires analytical intelligence.

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Find the area enclosed by a rectangle that is 1300 m wide and 1630 m long. Write your answer so that it has the correct number of significant figures.

Answers

Answer:

2120000m^2

Explanation:

1300* 1660 and there is 3 significant figures, so the 9 would make the  round to a 2.

what is a contact time​

Answers

Answer:

Contact time—or “wet time”—is how long a disinfectant needs to stay wet on a surface in order to be effective

Explanation:

Contact times can range from as little as 15 seconds for common hand sanitizer, to as long as 30 minutes for chlorine oxides used in laboratories.

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someone please answer!! The rights to vote, petition, and assembly are all examples of which type of citizens rights?A.educationalB.politicalC.personalD.economicPlease select the best answer from the choices providedhelp! i don't know how to do math lol 2 4/15 as a single fraction greater than one show the solution 3x+7 5x-9 The solute potential of a plant cell is -10 bar, and its pressure potential is 3. The plant cell is placed into a solution with a water potential of -10 bar. What is the water potential of the cell, and in which way will water move? hii what do u mean by osmosis can 790/69 be simplified HELP HELP HELP!!!!!Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.The box office at a theater is selling tickets for a series of rock concerts. So far, they have sold 98 balcony tickets and 26 general admission floor tickets for Friday's show, for a total of $4,524 in receipts. For Saturday's show, 74 balcony tickets and 96 general admission floor tickets have been sold, equaling $5,478 in receipts. How much does each ticket cost? I'm trying to find the explicit form of an equation after performing an integration. I'm a bit rusty.ln|y| = C - cos(x)C is an arbitrary constant.Is it:y = e^(c-cos(x))or because it's an arbitrary constant, can it be written:y = C - e^(cos(x))Thanks. What should be the first step to solve the equation?2x + 9(x - 1) = 8(2x + 2) - 5Combine like terms on each side of the equation.Use the distributive property on each side of the equation.Use the subtraction property of equality to subtract 5 from each side of the equation.Use the addition property of equality to add 2x to each side of the equation.7 What is 8 more than r What is the meaning of heritage?Wrong answer will be reported. Find the value of x.67x + 5468X = HELP AND DONT SEND LINKS IK WHAT UR TRYING TO DO The total pressure in a mixture of gases is equal to the partial pressure(s) of ________. the gas that occupies the largest volume the gas with the smallest number of moles all the gases added together the gas with the highest molecular weight the gas with the greatest number of moles Match the function with the graph 100 pts for an answer. one day jasmine earned $25.20 for 6 hours of work. Another day jasmine earned 16.80 for 4 hours of work. Which funcrion show how much jasmine earns (c) for working (h) hours ?A. c=6h-16.80 B.c=4h+0.2 C. c=4.20h D. c=4h+1.2 Which statement is factual?a. Asexual reproduction produces offspring that are identical to the parent.b.Sexual reproduction allows for diploid gametes to combine to increase genetic variation.c.Asexual reproduction leads to the formation of haploid gametes.d.Sexual reproduction does not require the production of gametes. Which of the following is a result of a population reaching carrying capacity?