Question

A water skier notices that the distance between successive wave crest is 12 meters. The wave crests pass his boat every 4.8 seconds. How fast are the waves traveling?a.456Hzb. 638Hzc. 368Hzd. 213Hz

Answer 1

Answer:

The velocity of wave=2.5 m/s

Explanation:

We are given that

The distance between successive wave crest=$\lambda=12m$

Time =$2.8 s$

We have to find the the velocity of wave.

Frequency of wave=$\nu=\frac{1}{T}=\frac{1}{4.8} s=0.2083 Hz$

The relation between frequency, wavelength and velocity is given by

$\lambda=\frac{v}{\nu}$

$12=\frac{v}{\frac{1}{4.8}}$

$v=12\times \frac{1}{4.8}=2.5 m/s$

Hence, the velocity of wave= 2.5 m/s