The period and frequency are two different ways to describe the behavior of an o

Question

The period and frequency are two different ways to describe the behavior of an oscillation. A third quantity sometimes used is the angular frequency. The angular frequency of an oscillation is defined as =2f, where is the constant pi and f is the frequency. The angular frequency is essentially the angular speed of a circular motion that corresponds to the oscillation being described. The units for angular frequency are the same as angular velocity, rad/s. A mass-spring system completes 14 full oscillations in a time of 7.8 seconds.

What is the period of one oscillation?

what is the frequency of oscillation?

what is the angular frequency of oscillation?

Explanation / Answer

Here ,

period of one oscillation = total time /number of oscillation

period of one oscillation = 7.8/14

period of one oscillation = 0.557 s

the period of one oscillation is 0.557 s

Now, for the frequncy of oscillation

frequncy of oscillation = 1/time period

frequncy of oscillation = 1/0.557

frequncy of oscillation = 1.79 Hz

the frequncy of oscillation is 1.79 Hz

Now ,

for angular freqeuncy = 2 * pi * f

angular freqeuncy = 2 * pi * 1.79

angular freqeuncy = 11.3 rad/s

the angular freqeuncy is 11.3 rad/s

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