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Solution to Pairs Exercise #1. T = Fr = (90 N)(0.08 m) = 7.2 N m q = (2 rev)(2 p rad/rev) = 4 p rad W = T q = (7.2 N m)(4 p rad) = 90.7 J. Solution to Pairs Exercise #2. w = (4000 rev/min)(2 p rad/rev)(1 min/60s) w = 419 rad/s P = (250 ft-lb)(419 rad/s)(1 hp/550 ft-lb/s)
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Solution to Pairs Exercise #1 T = Fr = (90 N)(0.08 m) = 7.2 N m q = (2 rev)(2p rad/rev) = 4p rad W = Tq = (7.2 N m)(4p rad) = 90.7 J
Solution to Pairs Exercise #2 w = (4000 rev/min)(2p rad/rev)(1 min/60s) w = 419 rad/s P = (250 ft-lb)(419 rad/s)(1 hp/550 ft-lb/s) P = 190 hp
Solution to Pairs Exercise #3 W = Qt(P2 – P1) = Qt(DP) Q = (15 gal/min)(1 ft3/7.481 gal) = 2.005 ft3/min P = (60 lb/in2)(144 in2/ft2) = 8640 lb/ft2 W = (2.005 ft3/min)(24×60 min)(8640 lb/ft2) W = 2.495 x 107 ft-lb Power = Q(DP) = (2.005/60 ft3/s)(8640 lb/ft2)(1 hp/550 ft-lb/s) Power = 0.525 hp A) B)