Numerical (Water)

A float valve regulates the flow of oil (sp. gr. 0.8) into a cistern. The spherical float is 15 cm in diameter. A weightless link AOB carries the float at B and a valve at A. The link is hinged at O, with ∠AOB = 135°. OA = 20 cm and OB = 50 cm. When flow is stopped, AO is vertical and the oil surface is 35 cm below the hinge. A force of 9.81 N is required on the valve to stop the flow. Determine the weight of the float.

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Float Valve Equilibrium Problem Problem Statement A float valve regulates the flow of oil (sp. gr. 0.8) into a cistern. […]

A float valve regulates the flow of oil (sp. gr. 0.8) into a cistern. The spherical float is 15 cm in diameter. A weightless link AOB carries the float at B and a valve at A. The link is hinged at O, with ∠AOB = 135°. OA = 20 cm and OB = 50 cm. When flow is stopped, AO is vertical and the oil surface is 35 cm below the hinge. A force of 9.81 N is required on the valve to stop the flow. Determine the weight of the float. Read More »

Find the density of a metallic body which floats at the interface of mercury of sp. gr. 13.6 and water such that 40% of its volume is sub-merged in mercury and 60% in water.

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Interface Buoyancy Problem Problem Statement Find the density of a metallic body which floats at the interface of mercury of

Find the density of a metallic body which floats at the interface of mercury of sp. gr. 13.6 and water such that 40% of its volume is sub-merged in mercury and 60% in water. Read More »

Find the volume of the water displaced and position of centre of buoyancy for a wooden block of width 2.5 m and of depth 1.5 m, when it floats horizontally in water. The density of wooden block is 650 kg/m³ and its length is 6.0 m.

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Floating Wooden Block Buoyancy Problem Problem Statement Find the volume of the water displaced and position of centre of buoyancy

Find the volume of the water displaced and position of centre of buoyancy for a wooden block of width 2.5 m and of depth 1.5 m, when it floats horizontally in water. The density of wooden block is 650 kg/m³ and its length is 6.0 m. Read More »

A circular plate of 3 m diameter is under water with its plane making an angle of 30° with the water surface. If the top edge of the plate is 1 m below the water surface, find the force on one side of the plate and its location.

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Inclined Circular Plate Problem Problem Statement A circular plate of 3 m diameter is under water with its plane making

A circular plate of 3 m diameter is under water with its plane making an angle of 30° with the water surface. If the top edge of the plate is 1 m below the water surface, find the force on one side of the plate and its location. Read More »

A tank contains water up to a height of 10 m. One of the sides of the tank is inclined. The angle between the free surface of water and the inclined side is 60°. The width of the tank is 5 m. Find: (i) the force exerted by water on the inclined side and (ii) the position of the centre of pressure.

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Inclined Tank Side Problem Problem Statement A tank contains water up to a height of 10 m. One of the

A tank contains water up to a height of 10 m. One of the sides of the tank is inclined. The angle between the free surface of water and the inclined side is 60°. The width of the tank is 5 m. Find: (i) the force exerted by water on the inclined side and (ii) the position of the centre of pressure. Read More »

A circular plate of diameter 3 m is immersed in water in such a way that its least and greatest depth from the free surface of water are 1 m and 3 m respectively. For the front side of the plate, find (i) total force exerted by water and (ii) the position of centre of pressure.

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Inclined Circular Plate Problem Problem Statement A circular plate of diameter 3 m is immersed in water in such a

A circular plate of diameter 3 m is immersed in water in such a way that its least and greatest depth from the free surface of water are 1 m and 3 m respectively. For the front side of the plate, find (i) total force exerted by water and (ii) the position of centre of pressure. Read More »

A circular drum 1.8 m diameter and 1.2 m height is submerged with its axis vertical and its upper end at a depth of 1.8 m below water level. Determine total pressure on top, bottom and curved surfaces of the drum, resultant pressure on the whole surface, and depth of centre of pressure on the curved surface.

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Submerged Circular Drum Problem Problem Statement A circular drum 1.8 m diameter and 1.2 m height is submerged with its

A circular drum 1.8 m diameter and 1.2 m height is submerged with its axis vertical and its upper end at a depth of 1.8 m below water level. Determine total pressure on top, bottom and curved surfaces of the drum, resultant pressure on the whole surface, and depth of centre of pressure on the curved surface. Read More »

A penstock made up by a pipe of 2 m diameter contains a circular disc of the same diameter to act as a valve which controls the discharge passing through it. It can rotate about a horizontal diameter. If the head of water above its centre is 20 m, find the total force acting on the disc and the torque required to maintain it in the vertical position.

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Penstock Valve Torque Problem Problem Statement A penstock made up by a pipe of 2 m diameter contains a circular

A penstock made up by a pipe of 2 m diameter contains a circular disc of the same diameter to act as a valve which controls the discharge passing through it. It can rotate about a horizontal diameter. If the head of water above its centre is 20 m, find the total force acting on the disc and the torque required to maintain it in the vertical position. Read More »

A circular opening, 3 m diameter, in the vertical side of a water tank is closed by a disc of 3 m diameter which can rotate about a horizontal diameter. Calculate the force on the disc and the torque required to maintain the disc in equilibrium in the vertical position when the head of water above the horizontal diameter is 4 m.

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Rotating Circular Disc Problem Problem Statement A circular opening, 3 m diameter, in the vertical side of a water tank

A circular opening, 3 m diameter, in the vertical side of a water tank is closed by a disc of 3 m diameter which can rotate about a horizontal diameter. Calculate the force on the disc and the torque required to maintain the disc in equilibrium in the vertical position when the head of water above the horizontal diameter is 4 m. Read More »

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