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Chapter 15: Q. 33 (page 416)

The amplitude of an oscillator decreases to 36.8% of its initial value in 10.0 s. What is the value of the time constant?

Short Answer

Expert verified

The Time Constant is 5.0

Step by step solution

01

Introduction

The amplitude fordamped harmonic motion is as follows

X=Xoet/2蟿

where

t is the time.

蟿is the time constant.

X is the instantaneous value of amplitude.

X0is the initial value ofamplitude.

02

Substituting the values

Substituting the values

0.368=e-10/2蟿ln(0.368)=-102蟿蟿=-10-1.9994=5.0

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