The main objective of the paper is to capture the behavior of a vehicle on a race circuit, depending on the different inflation pressures of the tires (underpressure and overpressure). Taking into account that in the cornering the forces and the moments of inertia rise due the vehicle mass, and an inertial force decomposes in two components, one in the longitudinal plane and one in the transverse plane, the work aims the assessing the lateral forces that appear, to the contact between the tires and the tread, depending on the inflation pressure. The results have a graphic interpretation, enabling a comparative study of them. Results have been obtained regarding the lateral tire forces that occur between the tire and the road. The differences between these forces were particularly noticeable in cornering, and the differences between these forces were interpreted according to the tire inflation pressure.