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I'm building a computer simulation for a 3 gear train system. So far the gears rotate with mouse movement horizontally. Now I'm adding a fictitious motor and braking system to start/stop rotation with mouse clicks. I multiplied the rotation angle by [1-e(-t/TC)] to simulate exponential acceleration and e(-t/TC) for braking for exponential deceleration. Is exponential is the right way to do it? or is there any other better equation. This is just a simple case with no other external conditions influencing; but just the system inertia.

In general terms this is the equation I'm using.

Acceleration=[1-e(-t/TC)];// acceleration case

Acceleration=[e(-t/TC)];// braking case

Thanks

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# Gears' inertial response

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