Question

If a pendulum has a time-period of 3 s, then its frequency is :​

Answer 1

Required Answer :

${\underline {\boxed {\Large {\bf \gray { 0.33 \: Hz} }}}}$

If a pendulum has a time-period of 3 s, then its frequency is 0.33 Hertz .

How?

As we know that,

» Time period is the reciprocal of the frequency.

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$\sf { \longrightarrow T = \dfrac{1}{F} }$

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$\sf { \longrightarrow T \times F = 1}$

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$\boxed{\sf { \longrightarrow F = \dfrac{1}{T} }}$ $\red {\bigstar }$

So,

$\sf { \longrightarrow F = \dfrac{1}{3} \: Hz }$

$\boxed{\sf \red { \longrightarrow F = 0.33 \: Hz}}$ $\red {\bigstar }$

More information related to this topic :

• Frequency is one of the characteristics of vibration.

• It determines the pitch of the sound.

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

» n = number of oscillations

» t = time taken

• 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).

• ★ $\sf { \longrightarrow T = \dfrac{1}{F} }$

Answer 2

Answer:

$The \: relation \: between \: \\ time \: period \: (T) \\ and \: frequency \: (f) is \\ f= \frac{1}{T} \\ so, f= \frac{1}{3} =0.33 Hz$

Explanation:

Hope this helps you ✌️