Question

A child is swinging on a playground swing. If she completes one full cycle (i.e. back and forth one time) in 5 seconds, What is the frequency of the swing? What is the period?

Answer 1

Given:

The child completes one full cycle in,

$t=5\text{ s}$

To find:

Frequency and the period

Explanation:

The time for one complete oscillation is called the period of an oscillation.

So, the time period is,

$T=5\text{ s}$

The frequency is,

$\begin{gathered} f=\frac{1}{T} \\ =\frac{1}{5} \\ =0.2\text{ Hz} \end{gathered}$

Hence, the frequency is 0.2 Hz and the period is 5 s.