SOLUTION: the time required for an elevator to lift a weight varies directly with the weight and the distance through which it is lifted and inversely as the power of the motor. It takes 30

Question 763333: the time required for an elevator to lift a weight varies directly with the weight and the distance through which it is lifted and inversely as the power of the motor. It takes 30 sec for a 10 HP motor to lift 100 lbs through 50ft. what size of the motor is required to lift 800 lbs in 40 sec through 40 ft?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
T = Time
W = Weight
D = Distance
P = Power
T = (k*W*D)/P
k = constant of variation
To find k use information given.
30 = (k*100*50)/10
30 = 5000k/10
30 = 500k
k = 30/500
k = 3/50 = 0.06
Formula:
T = (0.06*W*D)/P
40 = (0.06*800*40)/P
40 = 1920/P
P = 1920/40
P = 48 HP
Hope this helps.
:-)

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