Question

QUESTION 17 The figure below shows a tank of water on the right, restrained by a gate which is hinged at the bottom. There is a terrible risk that the gate will rotate open counter-clockwise and let all the water out to flood the village. Our hero keeps the gate upright by directing a mighty stream of water (a jet of circular cross-section and area, Aj) which impinges on the left side of the gate just at the level of the water within the tank. The dimensions of the gate subject to water pressure are height, h, and depth into the page, b. Our goal in the next few questions, is to derive a formula for the required velocity of the jet, Vj, in terms of the other parameters of the problem. I will ask a series of intermediate questions to help you build up the result V Water jet What is the magnitude of the pressure force exerted by the water on the right side of the gate? gh pb hb phb h2

Answer 1

V b water is equatent The force exerted by pressure force at the center of ET at acts center of pressure gravity and YA 2 - Feer PgA. (3) E = pg x hxb) h Feq = pg bh / ..Magnitude of pressure force Pg bh² 2. ho Ito