Answer to Question #350523 in Physics for Alaba

Question #350523

A 60N motor winds a cable around a drum. (I) If the cable lifts a 3-ton load of bricks to a height of 12cm in 5 sec, calculate the efficiency of the motor. (II) At what rate is work done against friction?

1
Expert's answer
2022-06-14T08:41:17-0400

Given:

F=60kNF=60\:\rm kN

m=3000kgm=3000\:\rm kg

h=0.12mh=0.12\:\rm m

t=5st=5\:\rm s


(a)

η=mghFh=mgF=30009.860000=0.49=49%\eta=\frac{mgh}{Fh}=\frac{mg}{F}=\frac{3000*9.8}{60000}=0.49=49\%

(b)

P=mght=30009.80.125=706WP=\frac{mgh}{t}=\frac{3000*9.8*0.12}{5}=706\rm\: W


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