Question

Calculate time period and frequency of a pendulum, if it completes 240 oscillations in one minute

Answer 1

Answer:

frequency is the number of oscillations per second,so

f=240/60. as 1 minute=60s

f=4Hz

and

time period =1/f

T=1/4

Answer 2

Answer:

If a pendulum completes 240 oscillations in one minute,

Time period  = $0.25s$

Frequency    = $4Hz$

Explanation:

• 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   $=240$

         t   $=1 min = 60s$

• Then using equation(1),

         f = $\frac{240}{60} =4 Hz$

         T = $\frac{1}{4}= 0.25s$