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A 2lbm mass is placed on a piston of diameter 6 inches. (Assume mass is combined

ID: 1767729 • Letter: A

Question

A 2lbm mass is placed on a piston of diameter 6 inches. (Assume mass is combined mass of block and piston.) Gage A reads 2psi.

a.) Calculate the pressure reading on Gage B.

b.) Calculate h. (Dont forget about atmospheric pressure acting on top of the piston.)

Thank you!

A 2lbm mass is placed on a piston of diameter 6 inches. (Assume mass is combined mass of block and piston.) Gage A reads 2psi. Calculate the pressure reading on Gage B. Calculate h. (Dont forget about atmospheric pressure acting on top of the piston.)

Explanation / Answer

Gage A and B measure gage pressures.

Pressure in right tank = 2 psi gage


Absolute pressure in right tank = 14.7 + 2 = 16.7 psia


Reading of gage B = 107.2 - 16.7 = 90.5 psi (gage)


B)

Area of piston = 3.14 / 4 *6^2 = 28.26 in^2


Pressure due to mass = Force / area = 2 / 28.26 = 0.0708 psi


Atmospheric pressure = 14.7 psi


Total abs pressure in left tank = 14.7 + 0.0708 = 14.7708 psia


We have, 14.7708 = rho*h + 16.7


Using rho = 62.4 lb / ft^3 = 62.4 / 12^3 lb/in^3 for water we get


14.7708 = (62.4/12^3)*h + 16.7


h = -53.42 in



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