# Calculating Calories burned from mass and acceleration

I know force is equal to mass times acceleration. What I'm trying to do is find a formula that will calculate how many calories are burned using mass, acceleration and time.

For example, if I have a two pound object in my hand and I am shaking the object at 3 mph for 30 minutes, how many calories have I burned?

If anyone can provide a formula for this, it would be appreciated!

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 You don't shake something with a constant speed. – draks ... Apr 5 '12 at 23:10 Maybe you can model the movement with a sine wave. – Peter Tamaroff May 27 '12 at 23:55 This would be more appropriate for physics.stackexchange.com or physicsforums.com. Note that although you said "acceleration" in the first paragraph, in the second paragraph you gave a number with units of velocity. What you seem to be looking for is the equation for mechanical work: en.wikipedia.org/wiki/Work_%28physics%29 Even that is not going to provide an answer to your question, because the answer depends on the amount of friction in your arm. If the two-pound object oscillates frictionlessly, the net work done over every cycle is zero. – Ben Crowell Oct 11 '12 at 1:08