![]() lets calculate the force on one slice of width Δy which is y m deep down.Įxample3: The vertical ends of a tank are semicircles of radius 10 ft. ![]() ![]() Solution: a) As the bottom of pool act like a horizontal plate submerged in water, so pressure on bottom would be constant and can be calculated as,ī) Since 5×3 end of pool act like a vertical plate. If pool is completely filled with water find the force on Where h(y) is depth of fluid at y and L(y) is the horizontal length of region at y.Įxample2: Consider a swimming pool 5 m wide, 10 m long and 3m deep. So the force exerted by a fluid of constant weight density w, against a submerged vertical plane from y=a to y=b is given as, If plate is submerged vertically then pressure is not constant throughout, so force acting on it must be calculated through slicing which leads to integral. We don’t need calculus for this which is illustrated by the following example.Įxample1: Find the fluid force on a rectangular metal sheet measuring 3ft by 4ft, that is submerged horizontally in 6 ft. If the plate is submerged horizontally then pressure is constant and can be calculated using the equation F=P*A. Weight density of water= 62.4 lb/cubic ft. Fluid force on a submerged horizontal surface of area A is , ![]() Pascal’s principle states that pressure exerted by a fluid at a depth h is transmitted equally in all directions. Where w= weight density of liquid per unit of volume. What is the fluid force on the window? (Density of water sea water is 64.The pressure on an object at depth h in a liquid is given as, What is the fluid force on the gate when the top of the gate is 4 meters below the surface of the water? 4 m 8 m 5 m 6 mĪ circular observation window on a marine science ship has a radius of 1 foot, and the center of the window is 8 feet below water level. The tank is completely full of water.Ī vertical gate in a dam has the shape of an isosceles trapezoid 8 meters across the top and 6 meters across the bottom, with a height of 5 meters, as shown below. ![]() 507 Find the fluid force exerted on the bottom of the container.įind the fluid force on a rectangular metal sheet measuring 2 feet by 3 feet that is submerged in 5 feet of water.įind the fluid force on the vertical side of a rectangular tank with dimensions 5 ft. Presentation on theme: "Fluid Force Section 7.7."- Presentation transcript:Ģ Fluid Force Force = Density X Height X AreaĬommon Densities on pg. ![]()
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