Clam Evans wrote:
1 Calorie = 37000in-lbs
Vertical displacement of center of mass while running = ~2in
Assumed weight: 150lbs
Efficiency of human body to convert food to mechanical energy= ~20%
Steps in a 40 minute run = 7200
Steps in a 30 minute run = 5400
Calories burned from vertical displacement of center of mass:
40 minute run: 7200*2*150*5/37000 = 291
30 minute run: 5400*2*150*5/37000 = 218
science
Good but I do believe that as you increase running speed, the reaction force of the ground is greater and vertical displacement will increase.
If it increases by just one inch in your example model then the 30 minute run will use more energy.