a pendulum oscillates 10 times in 20 sec , find its time period and frequency
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Time period : Total Time ÷ Total Number of Oscillations. = 20 ÷ 10 = 2 seconds Frequency = Total Number of Oscillations ÷ Total Time = 10 ÷ 20 = 0.5 hertz (hz)
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The time period and frequency are 2 s and 0.5 Hz respectively.
Explanation:
The time period is equal to time taken be the pendulum divided by number of oscillations of pendulum.
Mathematically,
n is the number of oscillations made by pendulum in t seconds.
Given n = 10, t = 20 s
substitute the values, we get
T = 2 s.
Frequency is given as
So,
f = 0. 5 Hz
Thus, time period and frequency are 2 s and 0.5 Hz respectively.
#Learn more: Frequency and time period
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