calculate the time period of a simple pendulum that takes 15 seconds to complete 10 oscillations
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A simple pendulum makes 15 oscillations in 30 seconds. What is the time period and frequency of its oscillation?
(A) 2 sec, 2 Hz
(B) 2 sec, 1 Hz
(C) 2 sec, 0.5 Hz
(D) 2 sec, 4 Hz
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Hint: Time period is the total time taken by the body to complete 1 oscillation about its mean position. While frequency is defined as the number of oscillations made by the body about its mean position in 1 sec.
T=1f
Complete step by step answer:
Time period is the total time taken by the body to complete 1 oscillation about its mean position. While frequency is defined as the number of oscillations made by the body about its mean position in 1 sec.
There is a mutual connection between time period and frequency which is given as:
T=1f
According to the question,
The body makes 15 oscillations in 30 seconds so going by the definition of time period, the time taken to complete 1 oscillation is
T=3015sec=2sec
And going by the definition of frequency, one oscillation is completed in
f=1530Hz=0.5Hz
This can also be done by the formula connecting the two parameters
f=1T=12Hzf=0.5Hz
Answer:
1.5 seconds
15 sec = 10 oscillation
=15/10
= 1.5