Question

a body completes 20 vibrations in one minute its time period will be?​

Answer 1

We have 20 oscillations per 10 seconds… that means 2 oscillations per second. That is exactly what frequency is. Also, time period is defined as time required per oscillations… This gives us T=1/f. Thus T comes out to be 1/2 second

Answer 2

Given that,

A body completes 20 vibrations in one minute.

To find,

Time period of vibration.

Solution,

The total number of vibrations per unit time is called frequency of an object. It is given by :

$f=\dfrac{20}{60\ s}\\\\f=\dfrac{1}{3}\ Hz$

We know that the reciprocal of frequency is equal to its time period. So,

$T=\dfrac{1}{f}\\\\T=3\ s$

So, the time period of a body is 3 seconds.

Learn more,

Frequency

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