Question

a pendulum oscillates 100 times in 10 seconds . find its time period and frequency ​

Answer 1

Given:

• Number of oscillations (n) ⇒ 100

• Time taken (t) ⇒ 10 sec

To calculate:

• Time period and frequency.

Calculation:

${\underline {\boxed {\Large {\bf \gray { Calculating \: frequency: } }}}}$

As we know that,

• $\boxed {\sf { Frequency = \dfrac{n}{t} }}$

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$\sf{ \dashrightarrow Frequency = \dfrac{100}{10} }$

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$\sf{ \dashrightarrow Frequency = 10 \: Hz }$

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Therefore, frequency is 10 Hz.

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${\underline {\boxed {\Large {\bf \gray { Calculating \: time \: period: } }}}}$

As we know that,

• $\boxed {\sf { T = \dfrac{1}{frequency} }}$

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$\sf{ \dashrightarrow T = \dfrac{1}{10} }$

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$\boxed{\sf{ \dashrightarrow T = 0.1 \: s }}$

Therefore, time period is 0.1 s.

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Extra Information:

• Frequency is one of the characteristics of vibration.

• It determines the pitch of the sound.

• It is equivalent to number of oscillations made by body in given time.

• SI unit of frequency is Hertz (Hz)

• Time period is the time taken by the body to complete one oscillation.

• Time period (T) is equal to the reciprocal of the frequency.

• SI unit of time period is second (s).