How powerful are you?a. Make an order of magnitude calculation of your power output as you...

Question

How powerful are you?a. Make an order of magnitude calculation of your power output as you climbstairs. State all of your assumptions.b. Make an informed estimate of the ratio of your sustained power output to yourpeak power output for stair climbingc. If you could convert 70% of the energy you use climbing stairs for 20 min aday (some sort of stair treadmill) into energy stored in a battery how manyfluorescent globes could you light for 1 hr using that energy?You may need to climb some stairs to do this problem or encourage someone toclimb the stairs for you!

Robert · Accepted Answer

SOLUTION 
(a) 
Mass, m=71Kg  (to collect the data samples the mass of the persons that is used) 
Total height covered, h=22 X 13cm   (22 no. of stairs, height of 1 stair=1cm) 
                                          =2.86m 
g=9.81m/s2 
Time taken to climb stairs, t= 11s               (averaged over 5 data samples) 
So, Work done= Energy consumed= m*g*h 
                                                              =1992.02 Joules 
Power,

How powerful are you?a. Make an order of magnitude calculation of your power output as you climbstairs. State all of your assumptions.b. Make an informed estimate of the ratio of your sustained power...

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