Question

The average depth of water in a place near the coast of the Pacific ocean is 5.0 The largest tidal range in that place is 2.0m Calculate the maximum depth of water at that place

Answer 1

A sinusoidal function is a function based on the sine function.

The maximum depth of the water at the place, is 6.0 meters.

Reason:

The known parameters are;

The average depth of water at a place, $d_{ave}$ = 5.0

The largest tidal range in the place, R = 2.0 m.

Required;

To calculate the maximum depth of water at the given place.

Solution:

The tidal range is the consecutive difference between highs and lows of

the tides, which is a sinusoidal motion.

Therefore, the tidal range is twice the amplitude of the tide level.

The amplitude of the tide, a = $\dfrac{2.0}{2}$ m = 1 m

The maximum depth of water at the place, $d_{max}$ = a + $d_{ave}$

∴ $d_{max}$ = 1.0 + 5.0 = 6.0

The maximum depth, $d_{max}$ = 6.0 meters

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