Question

A pendulum oscillates 40 times in 4 seconds. Find it's time period and frequency.

Explanation needed!
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Answer 1

$\Large\sf\underline\blue{Question\:given:}$

A pendulum oscillates 40 times in 4 seconds. Find it's time period and frequency.

$\Large\sf\underline\pink{To~ find:-}$

• The time period
• Its Frequency

$\Large\sf\underline\red{Solution ~1}$

Frequency of oscillation is defined as the number of oscillation of a vibrating body per second.It is given by

$\sf{Frequency=} \\ \dfrac{Number ~of~ oscillation}{Time}$

$=\dfrac{40}{4}$

$\sf{=10 Hz}$

$\Large\sf\underline\green{Solution ~2}$

The time period

The time required to complete one oscillation is known as Time period.

It is given by the inverse of the frequency.

$\sf{Time~Period=} \\ \dfrac{1}{Frequency ~of~ oscillation}$

${=}\dfrac{1}{10}$

$\sf{=0.1 s}$

________________

Therefore the frequency is $\sf{=10 Hz}$

And the time period is $\sf{=0.1 s}$

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