Question

Find the time period of oscillation if a body vibrates 150 times in a minute

Answer 1

Explanation:

Freqiency=no of oscillation/time taken

Time =1minutes=60sec

Frequency=150/60

Time=2.5

Time peroid=1/2.5

Time peroid=0.4

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Answer 2

Answer:

The time period of oscillation is 0.4 seconds.

Explanation:

First, let's find the frequency. Which is calculated as,

$f=\frac{v}{t}$       (1)

Where,

f=frequency of oscillation

v=total number of vibrations

t=the total amount of time it took to complete the required number of vibrations

From the question we have,

v=150

t=60 seconds

We derive the following results by inserting the values of "v" and "t" in equation (1):

$f=\frac{150}{60}$

$f=2.5 Hz$    (2)

And the oscillation's time period (T) is determined as follows:

$T=\frac{1}{f}$     (3)

We get the following results by entering the frequency value into equation (3):

$T=\frac{1}{2.5}$

$T=0.4 \ seconds$

Hence, the oscillation has a time period of 0.4 seconds.

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