Question

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

Explanation needed!
Don't spam!​

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=} \\ (Number ~of~ oscillation)/(Time)`

`=(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=} \\ (1)/(Frequency ~of~ oscillation)`

`{=}(1)/(10)`

`\sf{=0.1 s}`

________________

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

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

▬▬▬▬▬▬▬▬▬▬▬▬