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I am trying to build a simulation to understand what power is required by an electric car in order to accelerate from 0-50kmh. As per my understanding the total power required by engine is calculated using Total Power required at given velocity formula as stated below. I am calculating the Total Force from motor and multiplying with the velocity in range from 1m/s to 50m/s in order to plot a Power vs Velocity and Power vs RPM curve. Now after plotting this Power vs RPM I want to relate to Power vs RPM curve in my electric motor datasheet. My problem is relating the two curves. For instance the read value from my graph is 30KW at an RPM of 600 and is then rising linearly. What I find difficult is that if this 30KW is needed to accelerate the car to RPM of 600/50kmh needed for every RPM starting from 1-600 or is it the power required at the point when 600 RPM/50kmh is reached. And how do I counter check with my motor Power vs RPM graph if 30 KW is available for what RPM range?

Total Force from motor = Drag + Rolling Resistance + Grad + Accelerating (i.e. mxa)

Total Power required at given velocity V = Total Force from Motor x V

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# Calculating Power for a car, and relating it to the motor curve

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