Civil engineers use the formula Q = 3.32LH^3/2
to find the maximum discharge that the dam (a broad-crested weir) shown in
the figure can pass before the water breaches its abutments (Standard
Handbook for Civil Engineers, 1968). In the formula Q is the discharge in
cubic feet per second, L is the length of the spillway in feet, and H is
the depth of the spillway. Find Q given that L=60 feet and H=5 feet. Find H
given that Q=3000 cubic feet per second and 70 feet.
This is what I have come up with thus far.
Q = 3.32*60*5^3/2
Q = 12450
3000 = 3.32*70H^3/2
L = 2.95555