Determine the force exerted on the block by the gate 2. (33.3 %) Hydrostatic For

Question

Determine the force exerted on the block by the gate 2. (33.3 %) Hydrostatic Force Acting on a Rectangular Gate: A 4-m-high, 4-m-wide rectangular gate closes the outlet of the freshwater tank, as shown in Figure below. The plate is hinged about a horizontal axis pivot along its centerline and is restrained from opening by a fixed block at lower edge. Determine the force exerted on to the block by the gate. Assumptions The atmospheric pressure acts on both sides of the plate, and thus it can be ignored in calculations for convenience. Properties We take the density of water to be pw =1000 kg/m^3 throughout.

Explanation / Answer

F = pgAh

p- density of fluid

h- Distance of Centre of Gravity from free surface

A- Area of the plate

F = 1000 x 9.81 x 16 x 10

=1569.6 KN

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