Question

Calculate time period of a simple pendulum if it takes 72 seconds to complete 24 oscillations

Answer 1

The time period of a simple pendulum is 3 seconds.

Explanation:

It is given that,

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 :

$f=\dfrac{24}{72}$

f = 0.334 Hz

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

$T=\dfrac{1}{f}$

$T=\dfrac{1}{0.334}$

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

Answer:

ANSWER IS 3

Explanation:

IF A PENDULUM TAKES 72 SECONDS TO COMPLETE 24 OSCILLATIONS

THEN TIME REQUIRED TO COMPLETE 1 OSCILLATION WILL BE OBVIOUSLY 72/24

WHICH WHEN DIVIDED GIVES US 3.