Vertical Range of Electric Vehicles?
I am curious as to how high electric cars can go. This might be applicable if you wanted to drive up a mountain, drive out of California, or to Denver for example.
Certainly, it is possible to increase range by minimizing drag coefficient. But height is mainly a function of energy density - how much energy you can store per unit weight. There will be a maximum for each battery type. It should be easy to figure out.
Batteries are measured according to Whr/kg or (Watt Hours/kg).
1 Whr = 3600 J/kg.
So, for a 1kg battery that has 3600 J, E = mgh, h = E/mg = 3600/9.8 = 367m. So basically, each Whr is the same as the ability to go a vertical distance of 367m.
Therefore a regular flooded lead acid battery of 30Whr/kg will be able to travel a maximum of 30*367 = 11010m, or 11km. In actuality, this isn't possible in an EV because there is parastic weight, wheels, body etc. Which is practically, what, half the weight? Meaning 5.5km, and in actual fact less because energy is used to warm up the air as the vehicle drives through.
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