Question

A pendulum complete 120 oscillations in one minute calculate its time period and frequency

Answer 1

Answer:

Hence, the frequency of the pendulum is 2 Hz. Hence, the frequency of the pendulum is 2 Hz

Answer 2

Answer:

A pendulum completes 120 oscillations in one minute. Its time period will be  0.5s and frequency will be 2Hz

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   $=120$

         t   $=1 min = 60s$

• Then using equation(1),

         f = $\frac{120}{60} =2 Hz$

         T = $\frac{1}{2}= 0.5s$