An escalator raises a 200 lbm bucket of sand 30 ft in 1 minute. Determine the total amount of work done and the instantaneous rate of work during the process.
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W = ∫Fdx = F ∫dx = F Δx
= 200 × 30 = 6000 ft lbf
= (6000/778) Btu = 7.71 Btu
W = W / Δt = 7.71 / 60
= 0.129 Btu/s