Question

The pendulum of a Bob completes 20 Oscillations in 41 sec. Calculate its time period and frequency.​

Answer 1

Solution

Given :-

• Oscillation of pendulum = 20 .
• Taken Time = 41 sec.

Find :-

• Time period & Frequency

Explanation

Time period

Time taken by pendulum to complete a full oscillations.

Using Formula

★Time Period = (Total time is taken by pendulum)/ (Number of Oscillations)

Keep value,

==> Time period = (41)/20

==> Time period = 4.1/2

==> Time period = 2.05 sec.

Therefore,

• 2.05 sec is the time period of pendulum

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Now, Calculate Frequency.

(Frequency is the number of completed wave cycles per second. )

Using Formula

★ f = 1/T

Keep value,

==> f = 1/2.05

Or,

==> f = 0.49 sec ^(-1).

Hence

• Frequency will be f = 0.49 sec^(-1).

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