A simple pendulum takes 48 seconds to complete 32 oscillations, what is the time period and frequency of the pendulum?
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A simple pendulum takes 48 seconds to complete 32 oscillations, what is the time period and frequency of the pendulum?
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Time taken to complete 32 oscillations = 48s
Time taken to complete 1 oscillation =48/32
=1.5
Time period of a pendulum is time taken by it to complete 1 oscillation.
Hence, Time period of pendulum is 1.5seconds.
Verified answer
Given:
Time period of 32 oscillations = 48 s
To find:
a) Time period of the pendulum
b) frequency of the pendulum
Calculation:
Time taken to complete one oscillation = Total time taken/no of oscillations
= 48/32
= 1.5 sec
Time taken to complete one oscillation is 1.5 sec
=> Frequency = 1/Time period
= 1/1.5
= 0.66 Hz
Frequency of the pendulum is 0.66 Hz