Question

A swing makes 200 oscillations in 10 seconds. What is it’s frequency and time period

Answer 1

Given :

• No. of Oscillation (n) = 200
• Time taken (t) = 10s

To Find :

• Frequency and Time period

Formula Used :

$\bullet\underline{\boxed{\sf Time \: Period (T)=\dfrac{Time \: Taken (t)}{No. \: of \: Oscillation}}}$

$\bullet\underline{\boxed{\sf Frequency (f)=\dfrac{1}{T}}}$

Solution :

➞ Time period - Is defined as time taken by body to complete one Oscillation

$\implies{\sf T = \dfrac{10}{200}}$

$\implies{\sf T = \dfrac{1}{20}\: s}$

$\implies{\bf T = 0.05 \: s}$

➞ Frequency -

$\implies{\sf f =\dfrac{1}{T}}$

$\implies{\bf f =20\: Hz}$

Answer :

Frequency of swing is 20Hz

Time period of swing is 0.05s