# A simple pendulum takes $32\ s$ to complete $20$ oscillations. What is the time period of the pendulum?

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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.

Updated on 10-Oct-2022 13:25:51