Estimate the power you produce in running up a flight of stairs. Give your answer in horsepower (1 hp = 746 W). Suppose you climb one flight of stairs (3 m) in 10 seconds (you run up the stairs quickly). Estimate your mass to be 81 kg.

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Physics

30 May, 06:06

Estimate the power you produce in running up a flight of stairs. Give your answer in horsepower (1 hp = 746 W). Suppose you climb one flight of stairs (3 m) in 10 seconds (you run up the stairs quickly). Estimate your mass to be 81 kg.

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Rachael Downs · Answer 1

We find the work using the formula as written below:

W = mgh/t

where

m is mass

g is gravity equal to 9.81 m/s²

h is the height

t is time

W = (81 kg) (9.81 m/s²) (3 m) / 10 s = 238.38 W

To convert:

238.38 W (1 hp/746 W) = 0.32 hp