A pendulum oscillates 40 times in 4 seconds. Find its time period… - Vidyadip

Question

A pendulum oscillates $40$ times in $4$ seconds. Find its time period and frequency.

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Answer

The time required to complete one oscillation is known as time period. It is given by the inverse of the frequency.
Number of oscillation $= 40$
Total time taken $= 4$ seconds
Time period = time taken in one oscillation$=\frac{\text{tota time}}{\text{total number of oscillation}}$
$=\frac{4\ \text{seconds}}{40}$
$=\frac{1}{10}\text{second}$
$=0.1$ second
Frequency of oscillations is defined as the number of oscillations of a vibrating body per second.
It is given by$\text{Frequency}=\frac{\text{Number of oscillations}}{\text{Total time }}=\frac{40}{4}=10\ \text{H}_{\text{z}}$

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