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Optimum Gear Ratios For An Electric Vehicle, Scott Parkinson
Optimum Gear Ratios For An Electric Vehicle, Scott Parkinson
Undergraduate Journal of Mathematical Modeling: One + Two
The goal of this project is to determine the optimal gear ratios for a vehicle containing a four-speed transmission. This vehicle is required to reach a speed of 30 m/s in the minimum time possible. Equations for the velocity at each shift point were found. An equation for the total time that the vehicle took to reach 30 m/s was then derived and equations for the times spent in each gear were found through integration of the provided formula for acceleration. The optimal gear ratios were then found by taking the partial derivatives of the total time equation with respect …