A pendulum oscillates 40 times in 4 seconds. Find its time period and frequency.

Soln:

The number of oscillations per second of the vibrating body is known as the frequency of oscillation.

Frequency = Total number of oscillations

Total time taken

= 50/5

= 10 Hz

The time period is the time taken to complete one oscillation. It is also the inverse of frequency.

Time period = 1/Oscillating frequency

= 1/10

= 0.1 s

∴ frequency = 10 Hz

Time period = 0.1 s