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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.