A tank in the form of a right-circular cylinder of radius 0.4 m and height 3 m is standing on end. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of the water leaving the tank per second to cA√2gh. If the tank is initially full of water, and water leaks from a circular hole of radius 17.5 mm at its bottom, determine a differential equation for the height h of the water at time t. Ignore friction and contraction of water at the hole, that is let c = 1. (Assume the acceleration due to gravity g is 9.8 m/s2. Round your numeric value to five decimal places.) 8.47392-10-3√h dh dt = eBook X
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.
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