A motor having an efficiency of 88% operates a crane having an efficiency of 42%With what constant speed does the crane lift a 410kg crate of machine parts if the power supplied to the motor is 5.5kW?PowerForceVelocityso5.5velocityforcehow do you find force?
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The net efficiency of the system is (.88)(.42) 37%To lift the crate with constant speed requires a force equal to the weight of the crate, mg ( 410 kg ) ( 9.8 m/s^2 ) 4000 N (to two significant figures)The rate at which the motor does work is ( 5500 W ) ( .37 ) 2000 W Work Force multiplied by distanceYou can do 2000 J of work each secondThis will move a 4000-N crate 1/2 meter per secondSo the speed is .5 m/s.
