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Im working on designing a caster wheel and have a mathematical model that Im following. However im stuck with how to determine the "tire slip coefficient". Its measured in Newtons. At first I thought its a coefficient so normally would be unitless but only a parameter with Newtons satisfies the mathematical model. If i dont have newtons the formulae is not dimensionly consistent.

Could anyone help me out with what a tire slip coefficient is?

How do we calculate it?.

Its my final parameter for my design.

P.S: The model is taken from a reliable source and has been patent in 2001.

Regards,

Faizan