Question

A pendulum oscillates 40 times in 4 seconds . Find its time period and frequency.class 8.
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With clear explanation.​

Answer 1

${ \mathtt{ \underline { \underline{Question}}}}$

A pendulum oscillates 40 times in 4 seconds . Find its time period and frequency.

${ \mathtt{ \underline{ \underline{</h2><h2>Answer}}}}$

${ \mathfrak{ \green {Given}}}$

Time taken =4 second

Number of oscillations = 40times

${ \mathtt{ \red{time \: period= \: \frac{time \: taken}{number \: of \: oscillations}}}}$

So,

${ \mathtt{time \: period = \frac{4}{40}}}$

${ \mathbb{ \pink{ \boxed{time \: period \: = \: 0.1sec}}}}$

Now,

${ \mathtt{ \red{frequency = \: \frac{1}{time \: period}}}}$

$= \frac{1}{0.1}$

${ \mathbb{ \pink{ \boxed{frequency = 10Hz}}}}$

Hence, The time period of the pendulum is = 0.1 sec and frequency =10 Hz

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Answer 2

Explanation:

It has given time period of 40 Oscillations which is 4 seconds. If you see it generally then you observe - in one second, it oscillate 10 times. Practically it is so fast.

Go with the formula - Time period = time taken /

no. of oscillations

and Frequency = 1 / Time period.