What is the absolute pressure of air located in a piston-cylinder device for a cylinder of diameter 0.5 ft, with a piston mass of 150 lbm, and local atmospheric pressure of 14.65 psi? The device is located at sea-level on Earth.
Given: D = 1.5 ft; m = 150 lbm; Patm = 14.65 psi
Assume: g = 32.174 ft/s2
What will be an ideal response?
A = ?D2/4 = 0.1963 ft2
F = W = mg/gc = (150 lbm)(32.174 ft/s2) / (32.174 lbm-ft/lbf-s2) = 150 lbf
Pg = F/A = (150 lbf) / (0.1963 ft2) = 764.1 psf = 5.31 psi
P = Pg + Patm = 19.96 psi
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