A tank containing water to a height of 11 m leaks at the bottom. The density of water is 1000 kg/m3. The surface of the tank and its leak are both open to the atmosphere so that the pressures P1 and P2 are the same and equal to 1 atmosphere. The area of the hole at the bottom is 0.0008 m2. Assume the cross-section area of the tank is very large so that the speed of the water at its surface is zero. a.) What is the speed of the water at the leakage? b.) What is the volume flow rate as it leaks?
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
A tank containing water to a height of 11 m leaks at the bottom. The density of water is 1000 kg/m3. The surface of the tank and its leak are both open to the atmosphere so that the pressures P1 and P2 are the same and equal to 1 atmosphere. The area of the hole at the bottom is 0.0008 m2. Assume the cross-section area of the tank is very large so that the speed of the water at its surface is zero. a.) What is the speed of the water at the leakage? b.) What is the volume flow rate as it leaks?
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