Vehicle Acceleration

by Kyle Heer

Submitted : Spring 2010

Given a torque curve for a specific motor, transmission gear ratios, the differential ratio of a vehicle, the mass of a vehicle and its tire radius we can find the force at the rear wheels at various vehicle speeds and the velocity at different RPM levels of the engine. In this case the vehicle will be a Toyota Tundra, weight 4133 pounds, with tires of radius 1.44177 feet, running a Chevrolet LS7 crate motor, a Hydramatic 4L65-E M32 transmission and a 5.13 rear end. Using this data we can then get curves for force at the rear wheels, vehicle speed and inverse force. If we plot inverse force vs. vehicle speed we can then find the area underneath the curve (integrate) between two vehicle speeds and this will yield the elapsed time between those two speeds.

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