1. Show that the optimal efficiency of a cylindrical friction pump occurs when α=-1.0 2. Calculate the maximum...

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Mechanical Engineering

1.Show that the optimal efficiency of a cylindrical friction pumpoccurs when α=-1.0
2. Calculate the maximum possible efficiency of a frictionpump
Notice: η = Power Attained / Power Expended

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Answer 2 When we speak of the efficiency of any machine we are simply referring to how well it can convert one form of energy to another If one unit of energy is supplied to a machine and its output in the same units of measure is onehalf unit its efficiency is 50 percent As simple as this may seem it can still get a bit complex because the units used by our English system of measurement can be quite different for each form of energy Fortunately the use of constants brings equivalency to these otherwise diverse quantities A common example of such a machine is the heat engine which uses energy in the form of heat to produce mechanical energy This family includes many members but the internal combustion engine is one with which we are all familiar Although this machine is an integral part of our everyday lives its effectiveness in converting energy is far less than we might expect The efficiency of the typical automobile engine is around 20 percent To put it another way 80 percent of the heat energy in a gallon of gasoline does no useful work Although gas mileage has    See Answer
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