Winch Cable
August 19th, 2004
Approximate the work required to lift the elevator 7 ft by winding the cable onto a winch.?
An elevator weighting 2000 pounds is supported by a 11-foot-long cable that weighs 13 pounds per linear foot. Approximate the work required to lift the elevator 7 ft by winding the cable onto a winch.
for this problem u’re suppose to use integrals. but i can’t seem to get the right answer. my answer is like 200-300 ft-lb away from the actual answer
moving a 2000 lb elevator up 7 ft takes 14000 ft-lb
the work done moving the cable is:
integral(13*(11-x) dx) from 0 to 7 = 682.5 ft-lbs
for a total of 14682.5 ft-lbs
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