A triangular plate with height 3 ft and a base of 5 ft is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)

Question

Heaven Gentry

Physics

22 June, 23:19

A triangular plate with height 3 ft and a base of 5 ft is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)

+1

Answers (1)

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Mo · Answer 1

49KN

Explanation:

F = / int_0^5 / rho g xw dx =

/frac{3}{5}/rho g / int_0^5 x^2 dx =

/frac{3}{5}/rho g / frac{x^3}{3} / Big|_0^5 =

/frac{1}{5}/rho g (25 - 0) =

5/rho g / approx

49 kN