# Physical Education

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Preliminary design of a compressor drive train

Determine the force-time function within the compressor’s cylinder and the torque-time function acting on the input shaft on the compressor during any cycle.

Given:
Compressor speed is 1500rpm. The compressor has a bore of 3.125 in, a stroke of 3.26in and a connecting rod crank ratio to 3.5. Inlet pressure is atmospheric 14.7 psia, peak cylinder pressure is 132psia, and mean active pressure mep is 26psia. Flow is 8.9 cfm at mep, given 1.6 hp.

Assumption:
The piston weight is 1 lb; the connecting rod weights 2 lb with its center of mass at 1/3 point from the big end. The crankshaft weights 5.4 lb including a counterbalance that optimally overbalances it to minimize the shaking force. The exponent for the gas law equation is k = 1.13

*Related to mechanical engineering design*

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