Question

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

Answer 1

Solution:

We are given the following things:

• Number of oscillations taken by pendulum is 40.
• The time taken for the pendulum to oscillate is 4 seconds.

We need to find the time period and frequency of pendulum.

Let us see the formulas to find time period and frequency:

➔ Time period = Time taken / Number of oscillations.

➔ Frequency = Number of oscillations / Time taken.

In other words, we can say that frequency and time period are reciprocal of each other.

Let us directly apply these formulas:

➔ Time period = Time taken / Number of oscillations

➔ Time period = 4 / 40

➔ Time period = 1 / 10

➔ Time period = 0.1 sec

➔ Frequency = Number of oscillations / Time taken.

➔ Frequency = 40 / 4

➔ Frequency = 10 Hz

Hence, we can conclude that,

• Time period = 0.1 seconds
• Frequency = 10 Hz