Asked Dec 1, 2019

What is the time constant of an oscillator if its amplitude of oscillation is decreased to 30.0% of its original value in 21.5 s?

- 35.7 s
- 8.93 s
- 17.9 s
- 3.16 s


Expert Answer

Step 1

Calculating the time-constan...


Image Transcriptionclose

The equation for the amplitude of the oscillator, A = A eT Where 't' is the time constant, Ao is the maximum amplitude According to given data, in 21.5 s amplitide falls to 30%V of its original value Hence, at t 21.5 s, A = 0.30Ao 21.5s Substituting the values in the main equation, 0.30A =A^e 21.5s Taking log base e, both sides, 1.2 T 21.5s - 17.9s 1.2 T= T 17.9s


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in




Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: Two charged particles are a distance of 1.82 m from each other. One of the particles has a charge of...

A: (a) The electric force is


Q: Please show calculation:  20 log (100mV/30mV) Thank you!

A: Click to see the answer


Q: A 200 g ball is dropped from a height of 2.1 m and bounces on a hard floor. The force on the ball fr...

A: Consider the initial height be h, the final height, that is the rebound height be hf, the mass of th...


Q: A satellite circles the earth in orbit whose radius is 2.20 times the earth's radius. The earth's ma...

A: The expression for the time period is,


Q: A 0.694 kg air cart is attached to a spring and allowed to oscillate. If the displacement of the air...

A: (a)


Q: Calculate the acceleration when the displacement equals one third of the maximum value

A: The external force  must exactly balance the spring force  to hold the object at rest on a frictionl...


Q: Dolphins of the open ocean are classified as Type II Odontocetes (toothed whales). These animals use...

A:  (a)The depth of the ocean = 70.8mThe total distance travelled by the “clicks” = 2×70.8m = 141.6mThe...


Q: The  7 mm bolt head shown must be tightened to a torque of 420 N-m. Determine the (a) force (N) that...

A: Consider the diameter of the bolt be d, the torque applied to the bolt be τ, and the perpendicular d...


Q: If earth starts revolving with more speed then normal , what happens??

A: If the Earth starts spinning faster, then a lot of things can happen. Some of them are following:Due...