Question

A pendulum oscillates 50 times in 5 seconds. Find its time period & frequency.
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Answer 1

Frequency = oscillation per second = 50 devided by 5= 10 hertz

Time period = time taken to complete one oscillation= 0.1 sec

Answer 2

Given :-

Number of oscillations by the pendulum = 50 times

Total time taken by the pendulum = 5 sec

To Find :-

The time period.

The frequency.

Analysis :-

Here we are given with number of oscillations and the time taken by the pendulum.

Firstly, divide the total time taken by the number of oscillations in order to find the time period.

Then using the formula of frequency, substitute the values we got such that, frequency is equal to one divided by time period.

Solution :-

Using the formula,

$\underline{\boxed{\sf Time \ period=\dfrac{Total \ time}{Number \ of \ oscillations} }}$

Given that,

Time = 5 sec

No. of oscillations = 50 times

Substituting their values,

⇒ t = 5 / 50

⇒ t = 0.1 sec

Using the formula,

$\underline{\boxed{\sf Frequency=\dfrac{1}{Time \ period} }}$

Given that,

Time period = 0.1 sec

Substituting their values,

⇒ f = 1/t

⇒ f = 1/0.1

⇒ f = 10 Hz

Therefore, the frequency is 10 Hz.