![]() Note that the acceleration is negative indicating that air and wind resistance will cause the velocity to decrease. Combining these formulas with a bit of algebra gives us the acceleration due to air and wind resistance as a function of velocity: ![]() This is why driving at high speeds is much less efficient than driving at low speeds. Note also that Fd is increases as the square of velocity. Note that both Fd and Frr are negative indicating that these forces act opposite to the direction of the velocity. G is the gravitational acceleration constant which is 9.81 m/s^2Ĭd is the vehicle's drag coefficient we want to determineĬrr is the vehicle's coefficient of rolling resistance we want to determineįd = -Cd*A*0.5*rho*V^2 (formula for force due to air resistance or drag)įrr = -Crr*M*g (formula for force due to rolling resistance)į = Fd + Frr (total force is the sum of Fd and Frr) Rho is the density of air which is 1.22 kg/m^3 at sea level ![]() M is vehicle mass including occupants in kg Fd is the force on the vehicle due to air resistance (drag) in Newtonsįrr is the force on the vehicle due to rolling resistance in Newtonsį is the total force on the vehicle in Newtons ![]()
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