A new record for running the stairs of the Empire State Building was set on February 3, 2003. The 86 flights, with a total of 1576 steps, was run in 9 minutes and 33 seconds.
Part A If the height gain of each step was 0.20 m, and the mass of the runner was 71 kg , what was his average power output during the climb? Give your answer in both watts and horsepower.
Part B Express your answer using two significant figures. P = m hp
Part A :
No.of steps n= 1576
Height of each step = 0.20 m
Total height H = 1576 x 0.20
= 315.2 m
Workdone w = mgh
= 71 x 9.81 x 315.2
= 219539.952 J
Output Power P = w/t
time taken t = 9min33s
= 573 s
Output Power P = 219539.952 / 573
= 383.141277 watts
= 383.141277/746 hp
= 0.51359 hp
PartB :
P =0.51359 hp
= 0.51 hp
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