Question

a simple pendulum makes 60 oscillations in 40 seconds calculate frequency an time period

Answer 1

Answer:

• Time period = 2/ 3 s
• Frequency = 3/ 2  Hz

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Explanation:

TIME PERIOD AND FREQUENCY :-

• Time period => Time period of a simple pendulum is the time taken by the pendulum to complete one oscillation.

• Frequency => Frequency of a simple pendulum is the number of oscillations a pendulum can complete in one second. SI unit of frequency is Hertz(Hz).

[Note :- if frequency comes in second then it means that fraction of oscillation is completed in 1 second.

For example, if the frequency comes out to be 1/ 2 then it means that half oscillation is completed in 1 second.]

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Calculating time period and frequency for the given question :-

• Time Period :-

The pendulum can complete 60 oscillations in = 40 seconds

∴ The pendulum can complete 1 oscillation in = (40/ 60) seconds

= 2/ 3 seconds

• Frequency :-

METHOD I

In 40 seconds, the pendulum can complete = 60 oscillations

∴ In 1 second, the pendulum can complete = (60/ 40) oscillations

= 3/ 2 Hertz. (Hz)

METHOD II

We know that, Frequency of a simple pendulum = 1/ Time Period

Therefore, frequency = 1/ (2/ 3) Hz

= 3/2 Hz