On 9/9/2015 12:53 PM, John Thornton wrote:
> I need to calculate the power needed to move a gantry. I assume that
> mass and velocity and acceleration are the key factors. Knowing those
> how do you figure out the watts needed. This is not a milling machine so
> no cutting forces need to be taken into effect. I'll be moving the
> gantry with timing belts.

Power in it's most simple form is Speed * Force (opposing in the 
direction of speed)

Looking at accelerating and the power you need there (no friction):
You take mass and acceleration, which results in force. For example
500 kg * 0.1 m/s² = 50 N, this then can be recalculated in a Torque.

so the longer you apply this acceleration, you're going to go faster.
so the required power will go up with the speed.

speed from acceleration v=at + v(t=0)
say after 3 seconds you are at v=0.1*3 equals 0.3 m/s

then you get a (due to acceleration) 0.3 * 50 = 15W (Power, Watt)

If you then maintain a constant speed (let's assume rolling) with a 
coefficient of friction of 0.05 then you get a force:
500 kg * 9.81 (gravity) * 0.05 = 245 N
When you're constantly sliding at 0.3 m/s you need 73.5W

At the last time in your acceleration, just before going into constant
motion you'll need a peak power of 73.5 + 15 = 88.5W

So all depends highly on how you choose your acceleration, mass, speed 
and friction.

Do you want to optimize for time (max accel/decell with no constant 
speed) or do you have a max speed?

Bas

>
> Thanks
> JT
>
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