Question

A rope is shaken and produces 7 waves each second. Calculate the time period of the rope waves.

Answer 1

Answer:

The time period of the rope waves is  $\overline {0.142857}$ seconds

Explanation:

The period of a wave, T is equal to 1 divided by the frequency of the wave

$The \ period \ 'T', \, of\ a\ wave = \dfrac{1}{The \ frequency, \, 'f' \ of\ the \ wave }$

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

The number of waves produced per second by the wave = 7 waves

Therefore;

The frequency of the wave, f = 7 complete cycles per second = 7 Hz

f = 7 Hz

$\therefore The \ time \ period \ of \ the \ rope \ waves, T = \dfrac{1}{f} = \dfrac{1}{7 \, Hz} = \overline {0.142857} \, seconds$

The time period of the rope waves, T = $\overline {0.142857}$ seconds