Question

a pendulum oscillate 20 time in a minute calculate its frequency and time period ​

Answer 1

Answer:

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Answer 2

Answer:

If a pendulum oscillates 20 times in a minute, the frequency will be $0.3333Hz$ and time period will be 3s

Explanation:

• We have the expression for the time period is given by,

        $Time\ period = \frac{1}{frequency}$

• The number of oscillations completed per time is the frequency of oscillation. It can be expressed as,  

        $Frequency = \frac{No\ of\ oscillations}{time\ taken}$

• Let f be the frequency of oscillation, N be the number of oscillations completed in time t and T be the time period.

         So as per definition,

        $f = \frac{N}{t}$                            ...(1)

         and

        $T = \frac{1}{f}$

• In the question, it is given that,

        N   $=20$

         t   $=1 min = 60s$

• Then using equation(1),

         f = $\frac{20}{60} =0.3333 Hz$

         T = $\frac{1}{0.3333}= 3s$