The flow of water F in cubic feet per second over a wier, a small overflow dam, can be prepresented by F=1.26H to the 3/2 power, where H is the height of the water in meters above the crest of the wier. Find the height of the water if the flow of the water is 10.08 cubic feet per second.

Question

Joseph Armstrong

Mathematics

23 June, 18:35

The flow of water F in cubic feet per second over a wier, a small overflow dam, can be prepresented by F=1.26H to the 3/2 power, where H is the height of the water in meters above the crest of the wier. Find the height of the water if the flow of the water is 10.08 cubic feet per second.

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Holmes · Answer 1

F = 1.26 √H³ (a^m/n = n√a^m)

10.08 = 1.26 √H³

8 = √H³ (Solve for √H³)

64 = H³ (square both sides to get rid of the square root)

4 meters = H (cubed root both side)