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A simple pendulum takes $32\ s$ to complete $20$ oscillations. What is the time period of the pendulum?
Given:
A simple pendulum takes $32\ s$ to complete $20$ oscillations.
To do:
To find the time period of the pendulum.
Solution:
As given, $32/ s$ are taken by a simple pendulum to complete $20$ oscillations. We have to calculate the time period of this pendulum. Before calculation of the time period let us know what is the time period of a simple pendulum:
Time period of a simple pendulum:
The time taken to complete one cycle or oscillation is called the time period of the simple pendulum. Now, let us calculate the time period of this pendulum:
Calculation of the time period of simple pendulum:
As given in the question,
The total time taken by the simple pendulum, $=32\ seconds$
No of oscillations $=20$
Therefore, time period of the simple pendulum ,T =$\frac{Total \ time \ taken}{No. \ of \ oscillations}$
=$\frac{32}{20}$=1.6 seconds
Time period = 1.6 seconds
Therefore, the time period of the pendulum is 1.6 seconds.