Numerical (Water)

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.

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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.            

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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.

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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.

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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.

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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.

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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?

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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 »

A cylindrical vessel of 0.5 m diameter and 0.6 m height is completely filled with water under a pressure of 9.81 KN/m2. It is rotated at 300 rpm about its vertical axis. Determine the pressure at point adjacent to the wall of the vessel.

A cylindrical vessel of 0.5 m diameter and 0.6 m height is completely filled with water under a pressure of 9.81 KN/m2. It is rotated at 300 rpm about its vertical axis. Determine the pressure at point adjacent to the wall of the vessel.

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Cylindrical Vessel Rotation – Pressure Analysis Problem Statement A cylindrical vessel of 0.5 m diameter and 0.6 m height is

A cylindrical vessel of 0.5 m diameter and 0.6 m height is completely filled with water under a pressure of 9.81 KN/m2. It is rotated at 300 rpm about its vertical axis. Determine the pressure at point adjacent to the wall of the vessel. Read More »

An open circular vessel is 1m in diameter and 2m height. It contains water filled to a depth of 1.5m. If the cylinder rotates about its vertical axis, (a) what constant angular velocity can be obtained without spilling, (b) what is the pressure intensity at the center and at the corner of the bottom if ω = 6 radians/seconds.

An open circular vessel is 1m in diameter and 2m height. It contains water filled to a depth of 1.5m. If the cylinder rotates about its vertical axis, (a) what constant angular velocity can be obtained without spilling, (b) what is the pressure intensity at the center and at the corner of the bottom if ω = 6 radians/seconds.

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Rotating Open Vessel – Free Surface & Pressure Analysis Problem Statement An open circular vessel is 1 m in diameter and

An open circular vessel is 1m in diameter and 2m height. It contains water filled to a depth of 1.5m. If the cylinder rotates about its vertical axis, (a) what constant angular velocity can be obtained without spilling, (b) what is the pressure intensity at the center and at the corner of the bottom if ω = 6 radians/seconds. Read More »

An open circular cylinder of 1m diameter and 2m depth is completely filled with water and rotated about its axis about 45 rpm. Determine the depth at the axis and amount of water spilled. Also find the speed of rotation at which the central axial depth is zero.

An open circular cylinder of 1m diameter and 2m depth is completely filled with water and rotated about its axis about 45 rpm. Determine the depth at the axis and amount of water spilled. Also find the speed of rotation at which the central axial depth is zero.

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Rotating Open Cylinder – Free Surface & Spillage Analysis Problem Statement An open circular cylinder (tank) with a 1 m diameter

An open circular cylinder of 1m diameter and 2m depth is completely filled with water and rotated about its axis about 45 rpm. Determine the depth at the axis and amount of water spilled. Also find the speed of rotation at which the central axial depth is zero. Read More »

An oil tanker 3m wide, 2m deep and 10m long contains oil of density 800 kg/m3 to a depth of 1m. Determine the maximum horizontal acceleration that can be given to the tanker such that the oil just reaches its top end. If the tanker is closed and completely filled with the oil and accelerated horizontally at 3m/s2, determine the total liquid thrust (hydrostatic force) on the front and rear end.

An oil tanker 3m wide, 2m deep and 10m long contains oil of density 800 kg/m3 to a depth of 1m. Determine the maximum horizontal acceleration that can be given to the tanker such that the oil just reaches its top end. If the tanker is closed and completely filled with the oil and accelerated horizontally at 3m/s2, determine the total liquid thrust (hydrostatic force) on the front and rear end.

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Oil Tanker Acceleration Analysis Problem Statement An oil tanker 3 m wide, 2 m deep, and 10 m long contains

An oil tanker 3m wide, 2m deep and 10m long contains oil of density 800 kg/m3 to a depth of 1m. Determine the maximum horizontal acceleration that can be given to the tanker such that the oil just reaches its top end. If the tanker is closed and completely filled with the oil and accelerated horizontally at 3m/s2, determine the total liquid thrust (hydrostatic force) on the front and rear end. Read More »

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