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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?
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19 votes
19 votes
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?

User Dribbler
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1 Answer

22 votes
22 votes

Given:

The child completes one full cycle in,


t=5\text{ s}

To find:

Frequency and the period

Step-by-step 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=(1)/(T) \\ =(1)/(5) \\ =0.2\text{ Hz} \end{gathered}

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

User Bbkglb
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2.8k points
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