Question

A simple pendulum complete 40 oscillation in 20 seconds what is the time period of the pendulum

Answer 1

Answer:

The answer is one by 2 because 40 is double of 20so we will have to convert 20 by 40 into it's lowest form

Answer 2

Given:

• Number of oscillations = 40
• Time = 20 secs

To Find:

• The time period of the pendulum.

Solution:

The formula to find the time period of the pendulum is given by,

Time period = 1/f → {equation 1}

Where "f" is the frequency.

We need to find the value of frequency as it is required to find the value of the time period. The formula to find the frequency is given by,

f = N/t → {equation 2}

Where "N" is the number of oscillations, "t" is the time.

On substituting the given values in equation 2 we get,

⇒ f = 40/20 {dividing the terms}

⇒ f = 2 Hz.

Now substitute the value of "f" in equation 1. We get,

⇒ Time period = 1/2  {dividing the terms}

⇒ Time period = 0.5 secs

∴ The time period of the pendulum = 0.5 secs.