Question

A simple pendulum takes 10 seconds to complete 5 oscillation. Find the time period of the pendulum.​

Answer 1

Simple Pendulum is a very small heavy metal bob suspended at a point from a firmly fixed support using a single strand thread so that it oscillates freely. The distance between the point of suspension and centre of bob is called the length of the pendulum.

One oscillation: One complete to and fro motion of the oscillating body is called one oscillation.

Frequency: It is the number of oscillations made by the body in one second.

Time Period: It is the time taken by a body to complete one oscillation.
Hence, the Frequency and Time period are calculated as follows.
Time period = Time taken by the pendulum/Number of oscillations made by the pendulum.
10
20
​

=2s
Frequency =1/Period
2
1
​

=0.5Hz

Answer 2

Answer:

A simple pendulum takes 10 seconds to complete 5 oscillations. The time period of the pendulum will be $2\ s$

​

Explanation:

The time period is the time taken to complete one to and fro motion of the oscillating body.

It can be obtained from the ratio of time taken for the oscillations and the number of oscillations made by the pendulum.

        $T = \frac{t}{N}$      ....(1)

Where T is the time period N  is the number of oscillations  and t is the time taken for the oscillations

In the question, it is given that,

$t=10\ s$

$N = 5$

Substitute these values into equation(1)

$T = \frac{10}{5} = 2\ s$

• Time period of the pendulum = $2\ s$