Question

A pendulum oscillates 50 times in 5 seconds find its time period and frequency.

Answer 1

Frequency=50/5=10hertz
Time period =1/f=1/10=0.1sec

Answer 2

Given :

Time taken to oscillate 50 times = 5 seconds

To Find :

Time period and Frequency of the pendulum

Solution :

The time period of oscillation is defined as the time taken to complete one such oscillation.

Time taken by the pendulum to oscillate 50 times = 5 sec

Time taken by the pendulum to oscillate 1 time = $\frac{5}{50}$ sec

                                                                              = 0.1 sec

Therefore, the time period of the pendulum is 0.1 sec.

Now, Frequency = $\frac{1}{Time Period}$

                            = $\frac{1}{0.1}$

                            = 10 Hz

Therefore, the frequency of the pendulum is 10 Hz.