Engineering Board Exam Reviewer · Fluid Mechanics · hard
A quarter-circle gate of radius 2 m and width 1 m holds water on its curved (concave) side, with the water surface level with the top of the gate. What is the vertical component of the hydrostatic force?
- 19.62 kN
- 36.53 kN
- 30.82 kN
- 39.24 kN
Answer
C. 30.82 kN
Solution
FV = weight of water above the curved surface = (π r2/4)(w) = 9.81(π )(1) = 30.82 kN. (FH = 1/2 r2w = 19.62 kN.)
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