Question

A simple pendulum takes 72 minutes to complete 60 oscillations.
Calculate its time period.

Answer 1

Answer:

Number of oscillations of a simple pendulum is 24.

Time taken to complete 24 oscillations is 72 seconds

Let f is the frequency of the simple pendulum. It is given by :

f = 0.334 Hz

If T is the time period. It is given by.

T = 2.99 s

or T = 3 s

So, the time period of a simple pendulum is 3 seconds. Hence, this is the required solution.

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Answer 2

Given:

Time taken by the Pendulum = 72 minutes

Total oscillations = 60

To Find:

The total time period

Solution:

Using the formula to calculate time period -

Total oscillations/ Time taken by the pendulum

= 60/72

= 0.83

Now, time is given by

T = 1/f

T = 1/0.83

= 1.20

Answer: The time period is 1.20 seconds