# DC Motor for Miniature Car

Hello all,

I'm building a miniature vehicle and plan on using a DC motor that supposedly spins at 12800 rpm (1340 rad/s) for the engine. However, I'm a little confused as to what the car's acceleration would be. The DC motor on its own would instantaneously have an angular velocity of 1340 rad/s upon turning it on, but once I connect it to the back wheels, the weight of the car combined with friction from the ground obviously wouldn't allow the car's wheels to jump to 1340 rad/s instantly, but rather they would have an angular acceleration.

I've calculated that the car should theoretically have a max speed of ~97m/s (ignoring the car's weight), since the tires would have a max angular velocity of 1340 rad/s, but is there any possible way I could use the given angular velocity of the DC motor to calculate the angular acceleration of the car's tires after they've been connected to the motor? (factoring in vehicle weight) This would allow me to calculate the car's speed at any given moment.

Drakkith
Staff Emeritus