A transverse wave has an amplitude of 2.4m. What is the vertical distance, in meters, between the top of a Crest and the bottom of a Trough?

4.8 m

Explanation:

A transverse wave is a wave in which the oscillation of the particles occur in a direction perpendicular to the direction of motion of the wave.

The amplitude of a transverse wave is the maximum displacement of the wave with respect to the equilibrium position.

The crest of a wave is the position of maximum displacement on the positive side, while the trough of a wave is the position of maximum displacement on the negative side.

This means that the amplitude of a wave is equal to the distance between a crest (or a trough) and the equilibrium position.

Therefore, we have:

where:

d is the distance between the top of a crest and the bottom of a trough

A is the amplitude of the wave

Here we have:

A = 2.4 m

So, we find

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