Can we not calculate the angular velocity of the wheel at a point of time for rolling with slipping?

Suppose that the wheels of a car are deep in mud,and the engine rotates it say, to 1200 revolutions per minute,but the wheels are slipping win the mud,and at the same time the car has a translational velocity ,determined by the engine power–then we know both the angular and translational velocities.

My magic 8 ball says yes we can not!

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