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. As we will discuss in class, one can think of circular motion as a form of oscillation, especially if one looks at a projection of the motion onto one-dimension. The angular frequency is essentially the angular speed of a circular motion that corresponds to the oscillation being described. This quantity is not discussed in the text, but we will be using it in class and you will be expected to know how to calculate it. The units for angular frequency are the same as angular velocity, rad/s. A pendulum completes 9 full oscillations in a time of 3.9 seconds.

What is the period of one oscillation?

What is the frequency of oscillation?

What is the angular frequency of oscillation?

Explanation / Answer

a)
period is time taken to complete one oscillation.
period = 3.9 / 9
= 0.43 s

b)
f = 1/ period
= 1/0.43
=2.3 Hz

c)
=2f
= 2*3.14*2.3
= 14.5 rad/s

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