Question

a kid on the playground swing makes 6 complete to-and-fro swings each 30 seconds. What is the frequency of the swinging?

Answer 1

Answer:

Frequency= cycles/time or Vibrations/ time

So,

F=6/30

F= 0.2 Hz

Hope it helps :)

Answer 2

Answer:

The frequency of the swinging to-and-fro is 0.2 Hz.

Explanation:

The time required to complete one to and fro motion of the swing is called its time period. And its relation with frequency is given as,

$T=\frac{1}{f}$           (1)

Where,

T=time period of the swing

f=frequency of the swing

From the question we have,

6 to and fro motion takes 30 seconds to complete. So, the time required to complete one to and fro motion will be its time period which is given as,

$T=\frac{30}{6}$

$T=5sec$       (2)

By placing the value of T in equation (1) we get;

$5=\frac{1}{f}$

$f=\frac{1}{5}$

$f=0.2Hz$

Hence, the frequency of the swinging to-and-fro is 0.2 Hz.