For instance, imagine that a vehicle needs to travel on a Sinusoidal path. The maximum frequency of a feasible path depends on the maximum acceleration the vehicle can reach.
While cornering, the maximum centrifugal force m*ay depends on the tire loads Fzi and the ground friction conditions µi (i={front left,front right,rear left,rear right}). If you have no driving force at the wheels, they have to be in equilibrium. Please note, that ay is in global frame and this is just an estimation with ideal conditions. Unfortunately, the variation of the tire loads and the tire lateral force become nonlinear for higher tire loads. Without knowing the tire load distribution or the tire, you can not calculate reliable values.
The problem is here that we do not know the exact amount of yaw rate while the trajectory is not defined.
OK, in your case, you'd need to assume, such as, vehicle moving without slips, or put some slips condition.
While cornering, the maximum centrifugal force m*ay depends on the tire loads Fzi and the ground friction conditions µi (i={front left,front right,rear left,rear right}). If you have no driving force at the wheels, they have to be in equilibrium. Please note, that ay is in global frame and this is just an estimation with ideal conditions. Unfortunately, the variation of the tire loads and the tire lateral force become nonlinear for higher tire loads. Without knowing the tire load distribution or the tire, you can not calculate reliable values.
You can benefit from sensors used in car, like gyroscopic sensor used in Electronic stability System (ESP) the centrifugal acceleration can be calculated as
ay = angulatr velocity i direction Z multiply by longitudinal velocity
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