Question

A pendulum oscillates 30 times in 1 second. What is its frequency​

Answer 1

Given:

• A pendulum oscillates 30 times in 1 second.

To Find:

• Frequency (f) = ?

Solution:

It is given that,

No. of oscillations made by the simple pendulum is 30.

$\longrightarrow\sf{n = 30}$

Time taken for the pendulum to oscillate 30 times is 1 second.

$\longrightarrow\sf{t = 1}$

Now,

Let T is the time period of the oscillation. The total no. of oscillations per unit time is termed as Frequency of the simple pendulum.

It can be concluded as follows:

$\\ \longrightarrow\sf{f = \frac{n}{t} } \\ \\ \\\longrightarrow\sf{f = \dfrac{\cancel{30}}{\cancel{1}}} \\ \\ \\ \longrightarrow\sf{f =30}$

Thus,

$\therefore$ The frequency of the pendulum is 30.