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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 of蟿=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鈭�t2蟿

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

蟿=鈭�t2ln鈦�(0.368)=5s

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Most popular questions from this chapter

A 200 g block attached to a horizontal spring is oscillating with an amplitude of 2.0 cm and a frequency of 2.0 Hz. Just as it passes through the equilibrium point, moving to the right, a sharp blow directed to the left exerts a 20 N force for 1.0 ms. What are the new

(a) frequency and (b) amplitude?

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