Question

A simple pendulum take 10seconds for completing 10oscillation . What is the time period of the pendulum

Answer 1

the time period of the pendulum is one sec .since the pendulum takes 10s for 10 oscillation then time for one oscillation is equal to total no of oscillation divided by total time taken for the given no of oscillation

Answer 2

Since, 10 seconds are for 10 oscillations. Thus, for every 1 oscillation, 1 second is required.

This implies that frequency(f) is 1 Hz.

Therefore, angular frequency (w) will be 2πf, i.e. 2π. Since, w= 2π/T, hence,

T= 2π/w, which implies that T= 1second.

Other way:-

T= 1/f. Since f= 1 Hz. Hence, T= 1 second