Question

the time talen for 20 oscillation is 60 seconds calculate its time period and frequency​

Answer 1

${\huge{\green{ᴜɾ \: αɳʂɯҽɾ:}}}$

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Simple Pendulum is a very small heavy metal bob suspended at a point from a firmly fixed support using a single strand thread so that it oscillates freely. The distance between the point of suspension and centre of bob is called the length of the pendulum.

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One oscillation: One complete to and fro motion of the oscillating body is called one oscillation.

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Frequency: It is the number of oscillations made by the body in one second.

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Time Period: It is the time taken by a body to complete one oscillation.

Hence, the Frequency and Time period are calculated as follows.

Time period = Time taken by the pendulum/Number of oscillations made by the pendulum.

$\frac{20}{10}$

= 2s

Frequency =1/Period

$\frac{1}{2}$

=0.5Hz

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$\green{Hence}$ , the Time period and frequency are 2 seconds and 0.5 Hertz respectively.

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√Kᴇᴇᴘ Lᴇᴀʀɴɪɴɢ~

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Answer 2

$\: \frac{number \: of \: oscillations}{total \: time\:taken } = frequency$

$\frac{20}{60} = \frac{1}{3} = 0.33 \: Hz\\ time \: period = \frac{1}{frequency} = \frac{1}{\frac{1}{3} } \\ = 3 \: sec$