SOLUTION: A cable is wound around a winch having a radius of 4.35 cm. determine the minimum length of cable used if the winch rotates at a speed of 5 revolutions / min and working for 5 min

Question 965056: A cable is wound around a winch having a radius of 4.35 cm. determine the minimum length of cable used if the winch rotates at a speed of 5 revolutions / min and working for 5 min 36 s
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A cable is wound around a winch having a radius of 4.35 cm. determine the minimum length of cable used if the winch rotates at a speed of 5 revolutions / min and working for 5 min 36 s
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amt of cable used for one revolution=circumference of winch=2π*radius=2*4.35π=8.7π cm
amt of cable used for 1 min=5*8.7π=43.5π (for 5 rev.)
5min 36 s=5.6 min
minimum length of cable used with winch working for 5.6min=5.6*43.5π=243.6π≈765.29 cm
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