Time = 32s Number of oscillations = 20

Time period = time / number of oscillations
∴ Time period = ( 32/20 )
= 1.6s

Time period of a simple pendulum

A simple pendulum is a weight or mass suspended from a fixed point and free to swing back and forth under the influence of gravity. The time it takes for a simple pendulum to complete one full oscillation is called its time period. It is denoted by the symbol T.

Given information:
- Number of oscillations: 20
- Time taken for 20 oscillations: 32 seconds

Calculating the time period:
To find the time period of the pendulum, we divide the total time taken by the number of oscillations.

Time period (T) = Total time taken / Number of oscillations

In this case, the total time taken is 32 seconds and the number of oscillations is 20.

T = 32 s / 20 = 1.6 s

Therefore, the time period of the pendulum is 1.6 seconds.

Explanation:
We can further explain the concept of a simple pendulum and its time period using the following key points:

1. Simple pendulum:
- A simple pendulum consists of a mass (known as the bob) attached to a string or rod, which is suspended from a fixed point.
- The mass is free to swing back and forth under the influence of gravity.
- The motion of a simple pendulum is periodic, meaning it repeats itself at regular intervals.

2. Time period:
- The time period of a simple pendulum is the time it takes for the pendulum to complete one full oscillation.
- It is the time required for the pendulum to swing from one extreme position (e.g., the highest point on one side) to the other extreme position and back again.
- The time period is measured in seconds (s).

3. Calculation:
- To calculate the time period of a simple pendulum, we divide the total time taken by the number of oscillations.
- In this case, the total time taken is given as 32 seconds, and the number of oscillations is given as 20.
- By dividing the total time taken by the number of oscillations, we find the time period to be 1.6 seconds.

In conclusion, the time period of the simple pendulum is 1.6 seconds.