Calculate Average Power Output of Man Climbing 1576 Steps

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Homework Help Overview

The discussion revolves around calculating the average power output of a man climbing 1576 steps, with specific parameters including the height gain per step, the mass of the runner, and the time taken for the climb. The subject area includes concepts from mechanics and power calculations.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the calculation of work done and power output, questioning the use of mass versus weight in the calculations. They also discuss the impact of significant digits on the final result.

Discussion Status

The discussion is ongoing, with participants providing alternative calculations and questioning the discrepancies in the results. There is no explicit consensus yet, but various interpretations and approaches are being explored.

Contextual Notes

Participants are considering the implications of significant figures and the definitions of mass and weight in their calculations. The original poster's calculations differ from the expected answer, prompting further examination of the assumptions made.

destinc
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A man runs up 1576 steps in 9minutes 33sec. If the height gain of each step was 0.20m, and the mass of the runner was 70.0kgs, what was average power output during climb?
I used P=W/T & W=FD
W=70kg(1576)0.20=22,064J
P= 22,064J/573s = 38.5 W
answer given is380W
What am I missing?
 
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You used the man's mass. You should have used his weight.
 
so W=70kg(9.81)(.2)(1576)=216447.84
P=216447.84/573= 377.7W
Close but not 380W
Where is the discrepancy?
 
Significant digits?
 

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