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Question: an electric car is climbing at 80 kmh up a...

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An electric car is climbing at 80 km/h up a 5° incline against a 10 km/h headwind. The vehicle has the following attributes: mass m = 1400 kg, drag coefficient CD = 0.19, vehicle cross section A = 2.4 m^2, coefficient of rolling resistance CR = 0.0044, wheel radius r = 0.3 m, gear ratio from rotor to drive axle ng = 11, and a nominal gear efficiency ηg = 95%. Assume a density of air ρair = 1.2 kg*m^-3.
i) Calculate the rotor output torque and speed.
ii) How much greater is the power requirement for climbing the 5° slope compared to a flat road?

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