Relative equilibrium

The following cases represent the two velocity components, determine the third component of velocity such that they satisfy the continuity equation:

Velocity Components and the Continuity Equation Problem Statement The following cases represent the two velocity components. Determine the third component

The following cases represent the two velocity components, determine the third component of velocity such that they satisfy the continuity equation: Read More »

A U-tube shown in figure is filled with a liquid of specific gravity 1.25 to a height of 15cm in both the limbs. It is rotated about a vertical axis 15cm from one limb and 30cm from the other. If the speed of rotation is 60rpm, find the difference in the liquid levels in the two limbs. Also find the pressure at points M and N at the base of U-tube.

A U-tube shown in figure is filled with a liquid of specific gravity 1.25 to a height of 15cm in both the limbs. It is rotated about a vertical axis 15cm from one limb and 30cm from the other. If the speed of rotation is 60rpm, find the difference in the liquid levels in the two limbs. Also find the pressure at points M and N at the base of U-tube.

U-Tube Rotation Analysis Problem Statement A U-tube is filled with a liquid of specific gravity 1.25 to a height of

A U-tube shown in figure is filled with a liquid of specific gravity 1.25 to a height of 15cm in both the limbs. It is rotated about a vertical axis 15cm from one limb and 30cm from the other. If the speed of rotation is 60rpm, find the difference in the liquid levels in the two limbs. Also find the pressure at points M and N at the base of U-tube. Read More »

A cylindrical tank 1.5m in diameter and 3m in height contains water to a depth of 2.5m. Find the speed of the tank so that 20% of the original volume is spilled out.

A cylindrical tank 1.5m in diameter and 3m in height contains water to a depth of 2.5m. Find the speed of the tank so that 20% of the original volume is spilled out.

Speed of Rotating Tank Problem Statement A cylindrical tank of 1.5m in diameter and 3m in height contains water to

A cylindrical tank 1.5m in diameter and 3m in height contains water to a depth of 2.5m. Find the speed of the tank so that 20% of the original volume is spilled out. Read More »

An open circular cylindrical pipe of radius R and height h is completely filled with water with its axis vertical and is rotated about its axis at an angular velocity ω. Determine the value of ω in terms of R and h such that the diameter of the exposed center portion is equal to the radius of the cylinder.

An open circular cylindrical pipe of radius R and height h is completely filled with water with its axis vertical and is rotated about its axis at an angular velocity . Determine the value of  in terms of R and h such that the diameter of the exposed center portion is equal to the radius of the cylinder.

Critical Angular Velocity for Exposed Center in a Rotating Cylinder Problem Statement An open circular cylindrical pipe of radius R

An open circular cylindrical pipe of radius R and height h is completely filled with water with its axis vertical and is rotated about its axis at an angular velocity . Determine the value of  in terms of R and h such that the diameter of the exposed center portion is equal to the radius of the cylinder. Read More »

An open cylinder tank 0.5m in diameter and 1m height is completely filled with water and rotated about its axis at 240 rpm. Determine the radius up to which the bottom will be exposed and the volume of water spilled out of the tank.

An open cylinder tank 0.5m in diameter and 1m height is completely filled with water and rotated about its axis at 240 rpm. Determine the radius up to which the bottom will be exposed and the volume of water spilled out of the tank.            

Exposed Bottom and Spilled Volume in a Rotated Open Cylinder Tank Problem Statement An open cylindrical tank with a 0.5

An open cylinder tank 0.5m in diameter and 1m height is completely filled with water and rotated about its axis at 240 rpm. Determine the radius up to which the bottom will be exposed and the volume of water spilled out of the tank.             Read More »

. A closed rectangular tank full of water is 3m long, 2m wide and 2m deep. The pressure at the top of water is raised to 98.1 Kpa. If now the tank is accelerated horizontally along its length at 6m/s2, find the forces on the front and rear ends of the tank.

A closed rectangular tank full of water is 3m long, 2m wide and 2m deep. The pressure at the top of water is raised to 98.1 Kpa. If now the tank is accelerated horizontally along its length at 6m/s2, find the forces on the front and rear ends of the tank. Check your results by Newton’s law too.

Forces on a Rectangular Tank Under Horizontal Acceleration Problem Statement A closed rectangular tank full of water is 3 m

A closed rectangular tank full of water is 3m long, 2m wide and 2m deep. The pressure at the top of water is raised to 98.1 Kpa. If now the tank is accelerated horizontally along its length at 6m/s2, find the forces on the front and rear ends of the tank. Check your results by Newton’s law too. Read More »

A cylindrical vessel closed at the top and bottom is 300mm inn diameter

A cylindrical vessel closed at the top and bottom is 300mm inn diameter, 1m long and contains water up to a depth of 0.8m. The air above the water surface is at a pressure of 60 KPa. If the vessel is rotated at a speed of 250n rpm about its vertical axis, find the pressure head at the bottom of the vessel at the center point and at the edge.

Rotating Closed Cylindrical Vessel – Pressure Head Analysis Problem Statement A cylindrical vessel closed at the top and bottom has

A cylindrical vessel closed at the top and bottom is 300mm inn diameter, 1m long and contains water up to a depth of 0.8m. The air above the water surface is at a pressure of 60 KPa. If the vessel is rotated at a speed of 250n rpm about its vertical axis, find the pressure head at the bottom of the vessel at the center point and at the edge. Read More »

A cylindrical tank is spun at 300 rpm with its axis vertical.

A cylindrical tank is spun at 300 rpm with its axis vertical. The tank is 0.6m high and 45cm diameter and is completely filled with water before spinning. Calculate (a) the speed at which the water surface will just touch the top rim and center bottom of the tank, and (b) the level to which the water will return when the tank stops spinning and the amount of water lost.

Rotating Cylindrical Tank – Water Level and Spillage Analysis Problem Statement A cylindrical tank is spun at 300 rpm with

A cylindrical tank is spun at 300 rpm with its axis vertical. The tank is 0.6m high and 45cm diameter and is completely filled with water before spinning. Calculate (a) the speed at which the water surface will just touch the top rim and center bottom of the tank, and (b) the level to which the water will return when the tank stops spinning and the amount of water lost. Read More »

A 400mm high open cylinder and 150mm in diameter is filled with water and rotated about its vertical axis at an angular speed of 33.5 rad/s. Determine (a) the depth of water in the cylinder when it is brought to rest, and (b) the volume of water that remains in the cylinder if the speed is doubled.

Rotating Cylinder – Water Spillage Analysis Problem Statement An open cylinder 400 mm high and 150 mm in diameter is

A 400mm high open cylinder and 150mm in diameter is filled with water and rotated about its vertical axis at an angular speed of 33.5 rad/s. Determine (a) the depth of water in the cylinder when it is brought to rest, and (b) the volume of water that remains in the cylinder if the speed is doubled. Read More »

A closed cylindrical vessel of 1m diameter and 2m height contains water filled to a depth of 1.5m. If the vessel is rotating at 20radians/sec, how much of the bottom of the vessel is uncovered?

A closed cylindrical vessel of 1m diameter and 2m height contains water filled to a depth of 1.5m. If the vessel is rotating at 20radians/sec, how much of the bottom of the vessel is uncovered?

Rotating Cylindrical Vessel – Uncovered Area Analysis Problem Statement A cylindrical vessel of radius 0.5 m is rotated at an

A closed cylindrical vessel of 1m diameter and 2m height contains water filled to a depth of 1.5m. If the vessel is rotating at 20radians/sec, how much of the bottom of the vessel is uncovered? Read More »

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