A farmer weighing 150 lb carries a sack of grain weighing20 lb up a circular helical
Chapter 15, Problem 56(choose chapter or problem)
A farmer weighing \(150 lb\) carries a sack of grain weighing \(20 lb\) up a circular helical staircase around a silo of radius \(25 ft\). As the farmer climbs, grain leaks from the sack at a rate of \(1 lb\) per \(10 ft\) of ascent. How much work is performed by the farmer in climbing through a vertical distance of \(60 ft\) in exactly four revolutions? [Hint: Find a vector field that represents the force exerted by the farmer in lifting his own weight plus the weight of the sack upward at each point along his path.]
Equation Transcription:
Text Transcription:
150 lb
20 lb
25 ft
1 lb
10 ft
60 ft
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