Conversion to fuel economy in equivalent MPG using kcal/h and mi/h

AI Thread Summary
The discussion focuses on converting energy expenditure from walking and bicycling into miles per gallon (MPG) equivalents. For walking, the calculation yields approximately 423.68 MPG based on energy consumption rates. Bicycling requires additional values for a cyclist's resting energy expenditure to accurately determine MPG. Participants confirm that drivers also use food calories alongside gasoline energy, but this factor can be ignored in calculations as it cancels out. The conversation concludes with a clear understanding of the calculations involved.
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Homework Statement
For saving energy, bicycling and walking are far more efficient means of transportation than is travel by automobile. For example, when riding at 10.0 mi/h, a cyclist uses food energy at a rate of about 400 kcal/h above what he would use if merely sitting still. (In exercise physiology, power is often measured in kcal/h rather than in watts. Here 1 kcal = 1 nutritionist’s Calorie = 4,186 J.) Walking at 3.00 mi/h requires about 220 kcal/h. It is interesting to compare these values with the energy consumption required for travel by car. Gasoline yields about 1.30 x 10^8 J/gal. Find the fuel economy in equivalent miles per gallon for a person (a) walking and (b) bicycling
Relevant Equations
3.00 mi/h = 220 kcal/h
10.0 mi/h = 400 kcal/h above the values of sitting still
1 kcal = 1 nutritionist’s Calorie = 4,186 J
Gasoline yield = 1.30 x 10^8 J/gal
So I'm guessing we need our end unit to be in MPG?
a) walking
( 220 kcal/ 1 hr )⋅ ( 1hr / 3 mile ) = 73 .3 kcal/mi⋅⋅
(73 .3 kcal/ 1 mile) ⋅ (4,186 J/1 kcal) = 3,06833.8 J/mi
(1.30 x 10^8 J/ 1 gal)(1 mile / 3,06833.8 J) = 423.68 MPG

b) bicycling

Not sure as it says,"...when riding at 10.0 mi/h, a cyclist uses food energy at a rate of about 400 kcal/h above what he would use if merely sitting still." So I am guessing I would need to get those values for sitting still and add them to get the cyclist values?
 
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Part (a) looks good to me. (Do you need to worry about significant figures in the answer?)

For part (b), does the driver of the car use food calories in addition to using gasoline energy?
 
TSny said:
Part (a) looks good to me. (Do you need to worry about significant figures in the answer?)

For part (b), does the driver of the car use food calories in addition to using gasoline energy?
I would assume the driver does?
 
Mustard said:
I would assume the driver does?
Yes.
 
TSny said:
Yes.
So I can ignore the above statement as the will basically cancel out ?
 
Yes.
 
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TSny said:
Yes.
Thank you, I got it! (:
 

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