Question

A simple pendulum takes 60 seconds to complete 30 oscillations. What is the time period and
frequency of this pendulum?

Answer 1

Answer:

time period is 0.5 sec

frequency is 2

Answer 2

Answer:

The time period and frequency of the pendulum are 2 sec and 0.5Hz respectively.

Explanation:

The time period of a simple pendulum is defined as the time taken to complete one oscillation.

From the question we have,

30 oscillations=60 seconds

Now time taken to complete one oscillation is,

$T=\frac{60}{30} =2sec$       (1)

And the frequency(f)  is given as,

$f=\frac{1}{T}$       (2)

By using equation (1) in equation (2) we get;

$f=\frac{1}{2}=0.5Hz$

Hence, the time period and frequency of the pendulum are 2 sec and 0.5Hz respectively.