Answer:
The time period of the rope waves is [tex]\overline {0.142857}[/tex] seconds
Explanation:
The period of a wave, T is equal to 1 divided by the frequency of the wave
[tex]The \ period \ 'T', \, of\ a\ wave = \dfrac{1}{The \ frequency, \, 'f' \ of\ the \ wave }[/tex]
[tex]T = \dfrac{1}{f}[/tex]
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
[tex]\therefore The \ time \ period \ of \ the \ rope \ waves, T = \dfrac{1}{f} = \dfrac{1}{7 \, Hz} = \overline {0.142857} \, seconds[/tex]
The time period of the rope waves, T = [tex]\overline {0.142857}[/tex] seconds
