SOLUTION: A formula used in the study of shallow-water wave motion is C=sqrt(32H), where C is the wave velocity in feet per second and H is the depth in feet. Use this formula to find the

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Question 1174317: A formula used in the study of shallow-water wave motion is C=sqrt(32H),
where C is the wave velocity in feet per second and H is the depth in feet. Use this formula to find the depth of the water when the wave velocity is 20 ft/s.

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

It is very simple problem.

According to the condition, you write this equation


    20 = .


Your unknown is the variable H.


To find it, you square both sides of this equation


    20^2 = 32H,

or

    400 = 32h.


As a final step, you find H =  = 12.5.


ANSWER.  The depth is 12.5 feet.

Solved.




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