Question

A 148 g ball is tied to a string. It is pulled to an angle of...

A 148 g ball is tied to a string. It is pulled to an angle of 7.2 ∘ and released to swing as a pendulum. A student with a stopwatch finds that 22 oscillations take 20 s .

Homework Answers

Answer #1

ANSWER

First, we have to keep in mind that the period of swing of a simple gravity pendulum (our case) depends on its length, the local strength of gravity, and to a small extent on the maximum angle that the pendulum swings away from vertical, , called the amplitude. It is independent of the mass of the ball. Thus, if the amplitude is limited to small swings, the period of a simple pendulum, the time taken for a complete cycle, will be:

(1)   to   

To use this formula, we have to keep in mind that the mass of the ball doesn't matter, and the original angle must be small; mainly .

Since 22 oscillations take 20 seconds, the period will be:

Then, solving the equation (1) for length gives:

   ANS.

Regards!!!

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Ball A (0.500 kg) is tied to string like a pendulum and pulled to an initial...
Ball A (0.500 kg) is tied to string like a pendulum and pulled to an initial height. It is released from rest and collides wit h Ball B (0.650 kg) at the lowest part of its swing. The collision is perfectly elastic. After the collision Ball B has a speed 3.33 m/s. A) With what velocity did Ball A strike Ball B? B) What was the initial height of Ball A? C) After the collision, what is the maximum height...
A ball with a mass of 270 g is tied to a light string that has...
A ball with a mass of 270 g is tied to a light string that has a length of 2.40 m. The end of the string is tied to a hook, and the ball hangs motionless below the hook. Keeping the string taut, you move the ball back and up until it is a vertical distance of 1.16 m above its equilibrium point. You then release the ball from rest, and it oscillates back and forth, pendulum style. As usual,...
A ball is tied to the top of a pole by a string. The ball rotates...
A ball is tied to the top of a pole by a string. The ball rotates at 5.0m/s around the pole in a horizontal circle of radius 1.0m. What is the angle between the string and pole?
A pendulum is made by tying a 0.50 kg ball to a 0.75 m long string....
A pendulum is made by tying a 0.50 kg ball to a 0.75 m long string. It is pulled back to an angle of 35 degrees from the vertical, and then released from rest. (a) determine the change in the gravitational potential energy between the moment it is released and the moment it reaches the bottom of its swing. (The anwser is -0.665J) (b) Determine the speed when it is at the bottom of the swing. (the answer is 1.63...
A 240 g air-track glider is attached to a spring. The glider is pushed in 11.2...
A 240 g air-track glider is attached to a spring. The glider is pushed in 11.2 cm against the spring, then released. A student with a stopwatch finds that 14 oscillations take 14.0 s. What is the spring constant?
A simple pendulum is made from a 0.760-m-long string and a small ball attached to its...
A simple pendulum is made from a 0.760-m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?
A simple pendulum is made from a 0.614-m-long string and a small ball attached to its...
A simple pendulum is made from a 0.614-m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?
A 0.37 kg ball is attached to a 0.71 m long string. The other end of...
A 0.37 kg ball is attached to a 0.71 m long string. The other end of the string is then attached to the ceiling in order to create a pendulum. It is then drawn back such that the string makes an angle of 50 degrees relative to the ceiling and then released from rest. How fast is the pendulum traveling when the string makes an angle of 20 degrees relative to the vertical
if a 170 g mass on a 2.0-m-long string is pulled 9.0 ∘ to one side...
if a 170 g mass on a 2.0-m-long string is pulled 9.0 ∘ to one side and released.then How long does it take for the pendulum to reach 3.0 ∘ on the opposite side?
A ball of mass m is tied to a string and is rotating in a vertical...
A ball of mass m is tied to a string and is rotating in a vertical plane. The string is elastic (it stretches), which causes the path to be elongated vertically rather than perfectly circular. At the top of the path, the speed has the minimum value that still allows the ball to complete its circular path. Find: the length of the string when it makes an angle θ with respect to the horizontal. The following quantities are known: Mass...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT