Q3) Air enters the compressor shown below at a rate of 15 ft³/s. It leaves the tank through a 1.5 inches diameter pipe with a density of 0.113 lbm/ft³ and a velocity of 600 ft/s. a) Write reasonable assumptions for inlet air. b) Calculate mass rate of inlet air and calculate mass rate of outlet air (lbm/s). c) Determine the rate (lbm/s) at which the mass of air in the tank is increasing or decreasing. d) Determine the rate (lbm/ft³.s) at which the density of air in the tank is increasing then plot density versus time (MATLAB or Excel). e) Explain why the diameter of suction side of compressor is generally larger than the diameter of discharge side based on your answer in part (d). Compressor Tank volume = 25 ft³ 1.5 in 15 ft³/s 600 ft/s 0.113 lb/ft³

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
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Please solve part C/D/E
Q3) Air enters the compressor shown below at a rate of 15 ft³/s. It leaves the tank through
a 1.5 inches diameter pipe with a density of 0.113 lbm/ft³ and a velocity of 600 ft/s.
a) Write reasonable assumptions for inlet air.
b) Calculate mass rate of inlet air and calculate mass rate of outlet air (lbm/s).
c) Determine the rate (lbm/s) at which the mass of air in the tank is increasing or
decreasing.
d) Determine the rate (lbm/ft³.s) at which the density of air in the tank is increasing
then plot density versus time (MATLAB or Excel).
e) Explain why the diameter of suction side of compressor is generally larger than
the diameter of discharge side based on your answer in part (d).
Compressor
Tank volume = 25 ft³
1.5 in
15 ft³/s
600 ft/s
0.113 lb/ft³
Transcribed Image Text:Q3) Air enters the compressor shown below at a rate of 15 ft³/s. It leaves the tank through a 1.5 inches diameter pipe with a density of 0.113 lbm/ft³ and a velocity of 600 ft/s. a) Write reasonable assumptions for inlet air. b) Calculate mass rate of inlet air and calculate mass rate of outlet air (lbm/s). c) Determine the rate (lbm/s) at which the mass of air in the tank is increasing or decreasing. d) Determine the rate (lbm/ft³.s) at which the density of air in the tank is increasing then plot density versus time (MATLAB or Excel). e) Explain why the diameter of suction side of compressor is generally larger than the diameter of discharge side based on your answer in part (d). Compressor Tank volume = 25 ft³ 1.5 in 15 ft³/s 600 ft/s 0.113 lb/ft³
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