Question

A simple pendulum takes 40s to complete 20 oscillations. What is the time period of the pendulum? Show the steps.

Answer 1

Answer- Time taken = 40 secs
No. of oscillations = 20
Time Period = Time Taken/ No. of oscillations
                      = 40/20
                      = 2 secs
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Answer 2

Answer:

Time period, T = 2 seconds

Explanation:

It it given that, a simple pendulum takes 40 s to complete 20 oscillations. We need to find the time period of the pendulum. Firstly, we can find the frequency of the oscillations. It is equal to number of oscillations per second. It is calculated as :

$f=\dfrac{20}{40}=0.5\ Hz$

There is an inverse relationship between the frequency and the time period as :

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

$T=\dfrac{1}{0.5\ Hz}$

T = 2 seconds

So, the time period of the pendulum is 2 seconds. Hence, this is the required solution.