you might find my question stupid. I am unfortunately not an engineer and didn't find the answer on google. I want to calculate the braking energy of a vehicle decelerating from v2 to v1 (km/h). Given are the Wheel inertia mass moment "I" and the wheel diameter "d" as well as the vehicle mass "M".
Could you give me the equation needed for that?
Thank you !
there are two kinetic types of energy that are involved in a moving car:
Linear and rotational kinetic energy, $$ K_{e \ linear} = \frac {1}{2}mv^2 \ ; K_{e \ rotatinal} = \frac {1}{2}I \omega^2 $$
The deceleration from V1 to V2 will reduce the energy. This energy is being saved in hybrid and electrical cars as regenerative energy.
The linear energy change is equal to:
$ K_{e \ linear \ chang} = \frac {1}{2}mv_{1}^2 - \frac {1}{2}mv_{2}^2 $
And rotational energy change is equal to:
$ K_{e \ rotatinal \ change} = \frac {1}{2}I_{1} \omega^2 - \frac {1}{2}I_{2} \omega^2 $
And $ \ V = r \omega = d \omega/2 \ and\ \omega= V/r $ with r being the radius of the wheel, r = d/2.
However, because of small "I" of the wheels compared to the mass of the car, the contribution of the wheel's change of energy is not significant.
