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robot motor factor

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kennykck:
how do i derive this formula? or is there any website i can refer to?

Torque * rps > = Mass * Acceleration * Velocity / (2 * pi)

Steve Joblin:
I think this is what you are looking for... http://www.societyofrobots.com/RMF_calculator.shtml

kennykck:
i mean how do i start derive it until the end of that equation?  Coz i need write it into my report of robot design. Can anyone help?

bulkhead:
Torque * rps > = Mass * Acceleration * Velocity / (2 * pi)

(kg*m^2/s^2)* (round/s) = (kg)*(m/s^2)*(m/s)/(2*pi)

Do the units even match up? Given 1 round = 2 pi radians, and assuming the (2 * pi) is in radians, the radians are not on the same side (one is in the numerator, the other in the denominator).

To derive it you would probably start from F = m*a (force = mass * acceleration), T=F*d (torque = force *distance), and some rotational mechanics like Torque = I *alpha (torque = I * angular acceleration), where I= moment of inertia and alpha = a/r where r is radius.

kennykck:
From this site(http://www.societyofrobots.com/mechanics_dynamics.shtml)

v = 2 * r * PI * rpm      or      rpm = v / (2 * r * PI)

T = F * r

F = m * a

so, T/r = m * a      or      T = m * a * r

multiply rpm into the equation,

T * rpm = m * a * r * v / (2 * r * PI)
T * rpm = m * a * v / (2 * PI)

But why the website says

"Torque * rps > = Mass * Acceleration * Velocity / (2 * pi)

RMF = Torque * rps "

I'm confused... ???

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