Question

A woman is standing in the ocean, and she notices that after a wave crest passes, five more crests pass in a time of 58.0 s. The distance between two successive crests is 30 m. Determine, if possible, the following properties of the wave. (If not possible, enter NOT POSSIBLE.

Answer 1

Time period = 11.6 seconds

frequency = 0.0862 Hz

wave velocity = 2.586 m/s

Step-by-step explanation:

Five crests passes in 58 seconds

Time period, t = 58 / 5 = 11.6 seconds

The wavelength is defined as the distance between two consecutive crests.

So, wavelength, λ = 30 m

So,

Frequency = reciprocal of time period = 1 / 11.6 = 0.0862 Hz

wave velocity, v = f x λ

v = 0.0862 x 30 = 2.586 m/s