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

The time period of a pendulum, denoting the duration for one complete oscillation, is calculated using the formula:

Time Period = (Total time taken)/(Number of oscillations)

Given:
Total time taken = 4 seconds
Number of oscillations = 40

Using the formula:
Time Period = (4 seconds)/(40) = 0.1 seconds

Thus, the time period of the pendulum is 0.1 seconds.

The frequency, indicating the number of oscillations per second, is calculated as:

Frequency = 1/(Time Period)

Substituting the calculated time period:
Frequency = 1/(0.1 seconds) = 10Hz

Hence, the frequency of the pendulum is 10 Hertz, signifying it completes 10 oscillations in one second.