Trying to Calculate The Minimum Force For Skateboard.

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To calculate the minimum force and torque needed to move a 180 lb electric skateboard on polyurethane wheels, it's essential to focus on rolling friction rather than standard friction models. Key factors include gravity, normal force, total weight, force on each wheel, the coefficient of friction, and wheel size. Motor losses should also be considered, as they can significantly impact performance. Incorporating a conservative safety factor is crucial due to potential variations in friction, ground slope, and other environmental factors. Accurate calculations will ensure optimal motor selection for the skateboard's design.
chuttney1
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I'm building an electric skateboard. I am trying to calculate the bare minimum force and torque to move a 180 lb object on 4 polyurethane wheels from standstill for motor selection. I got lost in finding the coefficient of friction for polyurethane wheels and whether I am using the equation for rolling friction or the standard model used in schools of a big block with mass moving across a floor with no wheels.

Things I know I have to take into account are gravity, normal force, total weight of the whole system, force on each wheel, coefficient of friction and wheel size to find force and torque. Wind resistance is negligible.

Much help appreciated.
 
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Rolling friction is the important quantity, together with friction at the wheel axle. Plus motor losses, those won't be negligible.

Don't forget a conservative safety factor as friction can increase, the ground can have some slope, wind might be relevant, and so on.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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