a wave has an amplitude of 2 cm (y-direction) and a frequency of 12 hz, and the distance (x-direction) from a crest to the nearest trough is measured to be 5 cm. determine the velocity of the wave.



Answer :

120 centimeters per second, is the wave speed or wave velocity.

How fast do waves travel?

Wave velocity is the amount of distance a wave travels in one unit of time. The rate at which a particle disturbance like a crest or trough or compression or rarefaction spreads in a medium is known as the particle's propagation speed.

Given,

Amplitude (A) = 2cm,

Frequency (f) = 12hz,

Time period [tex]T=\frac{1}{f} =\frac{1}{12} s[/tex]

The horizontal distance between the closest peak or trough, respectively, is referred to as the wavelength. A crest's distance from the closest tough was specified. The distance between a crest and the closest crest is therefore two times that distance.

This is the wave length :

λ=(2)(5)

=10cm

The wave velocity or wave speed is given by:

v = λf

v=(10)(12)

=120 cm/s

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