Question

A pendulum oscillates 20 times in one second. Find its time period and frequency

Answer 1

Given,

Frequency of pendulum f=20Hz

Time period T =1/f.

T=1/20

Answer 2

• Frequency = 20 Hz

• Time period = 0.05 sec

Given :

A pendulum oscillates 20 times in one second

To find :

• Frequency

• Time period

Solution :

Step 1 of 3 :

Write down number of oscillations and time taken

Number of oscillations = 20

Time taken = 1 second

Step 2 of 3 :

Calculate frequency of the pendulum

The frequency of the pendulum

$\displaystyle \sf = \frac{Number \: of \: oscillations}{ Total \: time }$

$\displaystyle \sf = \frac{20}{1} \: \: Hz$

$\displaystyle \sf = 20 \: Hz$

Step 3 of 3 :

Calculate time period

The time period

$\displaystyle \sf = \frac{1}{Frequency}$

$\displaystyle \sf = \frac{1}{20} \: \: sec$

$\displaystyle \sf = 0.05 \: \: sec$

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