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1. What is the relationship between distance in kilometers and calories burnt?
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This is a directly proportional relationship that also depends on the exact pace. That is, if you are walking at a faster rate (or faster pace) you will expend more energy and calories. One way to correctly figure out the precise relationship between calories and distance is to record a chart as such.
(use the | to separate columns)
- distance (km) | calories
- 0 | 0
- 0.5 | x cal
- 1 | x cal
- 1.5 | x cal
- 2 | x cal
Where x is the amount of calories burned. This should be a linear relationship as long as pace remains constant. You can then find the slope of the line which would represent the rate at which calories are burned. For example, if your slope comes out to 60, then for every half kilometer traveled, you burn 60 calories.
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2.While the pedometer calculates for walking type of pace, how do I convert it to calories in case I am climbing uphill? Where should the energy expended in moving against gravity has to be considered and what is the equation one should use?
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To figure out the equation for this situation, you cannot repeat the above trials unless you have a very hi-tech pedometer. I'm not sure how you can adjust to this change, but you might want to try finding the incline traveled and add that to the distance traveled.
Hope it helps.