Question

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

Answer 1

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

Step-by-step explanation:

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

`The \ period \ 'T', \, of\ a\ wave = (1)/(The \ frequency, \, 'f' \ of\ the \ wave )`

`T = (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 = (1)/(f) = (1)/(7 \, Hz) = \overline {0.142857} \, seconds`

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