Question

A simple pendulum takes 36 sec to complete 48

oscillations. Find out time period of pendulum?​

Answer 1

Answer:

Time taken to complete 48 oscillations =36s

Time taken to complete 1 oscillation =36/48

Time period of a pendulum is time taken by it to complete 1 oscillation.

Time period of pendulum is 0.75seconds

Answer 2

Answer:

A simple pendulum takes 36 sec to complete 48  oscillations. The time period of the pendulum will be  $0.75\ s$

Explanation:

• The time period of a simple pendulum can be defined as the time taken to complete one to and fro motion of the oscillating body.
• It can be obtained from the ratio of time taken for the oscillations and the number of oscillations made by the pendulum.
• Let T be the time period N  be the number of oscillations  and t be the time taken for the oscillations then,

        $T = \frac{t}{N}$      ....(1)

In the question, it is given that,

$t= 36\ s$

$N = 48$

Substitute these values into equation(1)

$T = \frac{36}{48} = 0.75\ s$

• Time period of the pendulum = $0.75\ s$