A powerful crane can raise a 5408 tonne load to a height of10.1 meters. I\'ve ca

Question

A powerful crane can raise a 5408 tonne load to a height of10.1 meters. I've calculated the work done as 5.35X10^8 J. If ittakes 1.15 min to lift this load at constant velocity, and thecrane is 21.4 percent efficient, how would I findthe total (gross) power rating of the crane??? thanks! A powerful crane can raise a 5408 tonne load to a height of10.1 meters. I've calculated the work done as 5.35X10^8 J. If ittakes 1.15 min to lift this load at constant velocity, and thecrane is 21.4 percent efficient, how would I findthe total (gross) power rating of the crane??? thanks!

Explanation / Answer

work W = 5.35 * 10 ^ 8 J time t = 1.15 min = 1.15 * 60 s= 69 s Power P = W / t                = 7.7536 * 10^ 6 Watt efficiency e = 21.4 % = 21.4 /100 = 0.214 So, gross power of crane P ' = P / 0.214                                             = 3.6231 * 10 ^ 6 watt

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