How to Calculate Hydrostatic Force on a Valve

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Calculating hydrostatic force on a valve is something you might need to do with a pipe pressure system. Calculate hydrostatic force on a valve with help from an applied physics professional in this free video clip.

Part of the Video Series: Such Great Physics
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Video Transcript

Hello, my name is Walter Unglaub, and this is "how to calculate hydrostatic force on a valve." So, here, I have a pipe system, with a pressure gauge, and a valve. And, we have two ends of these two pipes that are normally joined together, and there's some fluid running through them that exerts a pressure on the valve, and we can measure this pressure on this gauge. Now, if we look at a cross section of one of these bores, we see that the bore will have a diameter, which I denote by capital D. And, what we need to know is the specific weight of the liquid that is flowing through these pipes. The specific weight is given by the Greek letter, gamma, and it's equal to row times G, where row is the density of the liquid, and G is the gravitational acceleration. So, if we consider a liquid being water inside of here, water has a density of 1,000 kilograms per meters cubed. The gravitational acceleration, we'll assume to be equal to nine point eight one meters per second squared. So, when we multiply these two together, we get a specific weight of 9,810 newton's per meters cubed. This is a unit of force divided by a unit of volume. Now, the hydrostatic force will be given by the pressure times the bore area. The bore area can be determined just by knowing the diameter of a bore. So, we have pressure times pi, the diameter, divided by two, to give us the radius, squared, pi R squared. If we assume, for the purpose of this example, that the diameter is equal to 50 millimeters, and if we assume a pressure exerted by the fluid, the water, in this case, equal to one kilopascal, which is equal to 1,000 Pascal's, then, when we plug in these numbers into our hydrostatic force equation, we get a hydrostatic force of approximately one point nine six newton's. So, this would be the force felt by the valve, due to the pressure of the liquid, the water flowing through this pipe. My name is Walter Unglaub, and this is "how to determine hydrostatic force on a valve."


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