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I am currently working on a project where I am trying to find power by being able to measure the force as a function of time within a chain system, similar to a bicycle. If I know the force in the chain and how it varies with time I would be able to determine the impulse the chain sees. I need a way of converting this impulse into a power measurement. Simply measuring the velocity of the chain is not a possibility.

I was thinking along the lines that if I know the mass of the system, ie the bicycle and rider, and the force, I would be able to calculate the acceleration and then the product of acceleration and impulse would give me power, but the problem with this is as the speed of the object is increased the forces would increase as well at an unknown rate, just like a bicycle, i guess it is very similar to a person riding a bicycle and trying to figure out the power generated by the person by knowing the time variant force in the chain.

I could also take the derivative of the F(t) which would give me the units |Kg*m/s^3| Im not sure what this is, if anyone knows please tell me. But I would still need another distance term.

Any help or info would be appreciated.

Thanks!