A simple pendulum takes 32 s to complete 20 oscillations. What is the time period of the pendulum?

Options

A. 1 second
B. 2.4 seconds
C. 1.6 seconds
D. None of the above

Explanation

To find the time period of the pendulum, we can follow these steps:

### Step 1: Understand the Problem
We know that a simple pendulum takes a total of 32 seconds to complete 20 oscillations. We need to find the time period of one oscillation.

### Step 2: Use the Formula for Time Period
The time period (T) of a pendulum is defined as the total time taken for a certain number of oscillations divided by the number of oscillations. The formula is:

\[ T = \frac{\text{Total Time}}{\text{Number of Oscillations}} \]

### Step 3: Plug in the Values
From the problem, we have:
- Total Time = 32 seconds
- Number of Oscillations = 20

Now we can substitute these values into the formula:

\[ T = \frac{32 \text{ seconds}}{20} \]

### Step 4: Calculate the Time Period
Now, we perform the division:

\[ T = \frac{32}{20} = 1.6 \text{ seconds} \]

### Conclusion
The time period of the pendulum is 1.6 seconds.

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