- #1
tylu234
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Homework Statement
There is a semicircle submerged in the water. The distance between the surface and the top of the semicircle is 2 ft, and the radius is 5 ft. Find the hydrostatic force.
The answer is 1.2 * 10^4 N.
Homework Equations
y = sqrt(25 - x2)
The Attempt at a Solution
w = 62.5
dA = sqrt(25-x2)dx
dF = w(7-x)sqrt(25-x2)dx
F = w∫(7-x)sqrt(25-x2)dx, limits of integration: 0, 5
Calculated and got this answer:
F ≈ 1.4 * 10^4 N
I think the (7 - x) part is wrong, or maybe the limits of intg.