Question

A simple pendulum takes 64 sec to complete 30 oscillation? What is the time period of the pendulum

Answer 1

OK 30 oscillation take64 sec 60 sec

Answer 2

Answer:

A simple pendulum takes 64 sec to complete 30 oscillations. The time period of the pendulum will be $2.133\ s$

Explanation:

• The time period can be obtained from the ratio of time taken for the oscillations and the number of oscillations made by the pendulum.

• Or it is simply the time taken to complete one to and fro motion of the oscillating body.
• 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,

$t= 64\ s$

$N = 30$

Substitute these values into equation(1)

$T = \frac{64}{30} = 2.133\ s$

• Time period of the pendulum = $2.133\ s$