Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 15: Q. 33 (page 416)

The amplitude of an oscillator decreases to36.8%of its initial value in10.0sWhat is the value of the time constant?

Short Answer

Expert verified

Time constant has the value ofτ=5s.

Step by step solution

01

Introduction.

Oscillation is the repeated or recurrent oscillation of a statistic around a central value or between two or more states, usually in time.

A physiological motion is clearly perceived by the term vibration. Oscillation can be seen in a pendulum bob and flow of electrons.

02

Explanation

A decelerated oscillator's output diminishes continuously with increasing:

A=A0e−t2τ

The time constant T is used here. When you use AA0=0.368 and the logarithmic function, you get

τ=−t2ln⁡(0.368)=5s

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A captive James Bond is strapped to a table beneath a huge

pendulum made of a 2.0-m-diameter uniform circular metal blade

rigidly attached, at its top edge, to a 6.0m-long, massless rod.

The pendulum is set swinging with a 10°amplitude when its lower

edge is 3.0mabove the prisoner, then the table slowly starts ascending

at 1.0mm/s. After 25minutes, the pendulum’s amplitude

has decreased to 7.0°. Fortunately, the prisoner is freed with a

mere 30sto spare. What was the speed of the lower edge of the

blade as it passed over him for the last time?

The pendulum shown in figure is pulled to a 10° angle on the left side and released.

a. What is the period of this pendulum?

b. What is the pendulum’s maximum angle on the right side?

IA 2.0g spider is dangling at the end of a silk thread. You can make the spider bounce up and down on the thread by tapping lightly on his feet with a pencil. You soon discover that you can give the spider the largest amplitude on his little bungee cord if you tap exactly once every second. What is the spring constant of the silk thread?

A block oscillating on a spring has a maximum speed of 20cm/s. What will the block's maximum speed be if the total energy is doubled? Explain.

A100gblock attached to a spring with spring constant 2.5n\moscillates horizontally on a frictionless table. Its velocity is 20\cmwhen x=-5.0cm

a.What is the amplitude of oscillation?

b.What is the block's maximum acceleration?

c.What is the block's position when the acceleration is maximum?

d.What is the speed of the block whenx=30cm?
See all solutions

Recommended explanations on Physics Textbooks

Fluids

Read Explanation

Fields in Physics

Read Explanation

Engineering Physics

Read Explanation

Classical Mechanics

Read Explanation

Quantum Physics

Read Explanation

Physics of Motion

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free