To find the frequency and time period of the simple pendulum given that it completes 40 oscillations in one minute, we can follow these steps:
(a) Frequency:
- Frequency is the number of oscillations per unit of time. In this case, the pendulum completes 40 oscillations in one minute.
- To find the frequency, we use the formula: frequency = number of oscillations / time taken
- Substitute the values: frequency = 40 oscillations / 1 minute
- Calculate the frequency: frequency = 40 Hz
(b) Time Period:
- Time period is the time taken to complete one full oscillation.
- It is the reciprocal of frequency. Therefore, time period = 1 / frequency
- Substitute the frequency value calculated earlier: time period = 1 / 40 Hz
- Calculate the time period: time period = 0.025 minutes
So, the answers are:
(a) Frequency = 40 Hz
(b) Time Period = 0.025 minutes
