expeditiupc

2022-01-11

A stationary boat in the ocean is experiencing waves from a storm. The waves move at 55 km/h and have a wavelength of 160 m. The boat is at a crest of a wave. How much time elapses until the boat is first at the trough of a wave?

Jim Hunt

Beginner2022-01-12Added 45 answers

The wavelength of the wave from the storm,

$\lambda =160\text{}m$

The speed of the wave,

$v=55\text{}k\frac{m}{h}$

The distance between a crest and the trough that is directly equal to half the wavelength of the wave.

$d=\frac{\lambda}{2}$

$=\frac{160\text{}m}{2}$

$=80\text{}m$

The expression for the speed of the wave,

$v=\frac{d}{t}$

The time taken

$t=\frac{d}{v}$

Substitute the values,

$t=\frac{80}{55\text{}k\frac{m}{h}}\times \frac{1\text{}km}{1000\text{}m}\times \frac{3600\text{}s}{1\text{}h}$

$=5.24\text{}s$

The speed of the wave,

The distance between a crest and the trough that is directly equal to half the wavelength of the wave.

The expression for the speed of the wave,

The time taken

Substitute the values,

22+64

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