A pendulum osscilates 40 times in 4 seconds. Find its time period and

1.	A pendulum osscilates 40 times in 4 seconds. Find its time period and frequency.
Answer» Answer: Frequency is defined as the rate of time period. Time Period is defined as the time TAKEN by the bob of a pendulum to complete one OSCILLATION. Time Period = Number of oscillations in one second ⇒ Number of oscillations = 40 ⇒ Number of seconds = 4 ⇒ Time Period = 40 / 4 = 10 oscillations PER second. ⇒ One oscillation = 1 / 10 = 0.1 second Now, Frequency = 1 / Time period ⇒ Frequency = 1 / 0.1 = 10 Hz Hence Frequency of the pendulum is 10 Hz and Time Period of the Bob is 0.1 seconds

A pendulum osscilates 40 times in 4 seconds. Find its time period and frequency.

Answer»

Answer:

Frequency is defined as the rate of time period.

Time Period is defined as the time TAKEN by the bob of a pendulum to complete one OSCILLATION.

Time Period = Number of oscillations in one second

⇒ Number of oscillations = 40

⇒ Number of seconds = 4

⇒ Time Period = 40 / 4 = 10 oscillations PER second.

⇒ One oscillation = 1 / 10 = 0.1 second

Now, Frequency = 1 / Time period

⇒ Frequency = 1 / 0.1 = 10 Hz

Hence Frequency of the pendulum is 10 Hz and Time Period of the Bob is 0.1 seconds

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