Question

A pendulum oscillates 50 times in 10 seconds . Find the the time period and frequency

Answer 1

Given : A pendulum oscillates 50 times in 10 seconds.

 

To find : What is its time period and frequency?

 

Using formula :

1) Frequency = Number of times the pendulum oscillates/Total number of time taken.

 

2) Time period = Number of oscillation per second/Frequency.

 

Calculations :

→ Frequency = 50/10

→ Frequency = 5 hertz

 

→ Time period = 1/5

→ Time period = 0.2 seconds

 

Therefore,

Frequency = 5 hertz.

Time period = 0.2 seconds.

HOPE YOU UNDERSTAND IT...........

Answer 2

Given:

A pendulum oscillates 50 times in 10 seconds .

To find:

Time period and frequency of pendulum ?

Calculation:

• Time period is defined as the total time taken to complete one full oscillation by the pendulum.

So, 50 oscillations are completed in 10 sec.

Hence, 1 oscillation will be completed in :

$= \dfrac{10}{50} = 0.2 \: sec$

So, time period is 0.2 second.

• Frequency is the reciprocal of time period. It is defined as the number of oscillations completed in one second.

$\implies \: f = \dfrac{1}{T}$

$\implies \: f = \dfrac{1}{0.2} = 5 \: hz$

So, frequency is 5 Hz.