So the difference in linear velocities at the track is
Now consider the tires: they have to have the same linear velocity at the pavement. So the difference in tire velocitys is .340w
so the difference in the angular speeds of the two tires is: difference=2Pi*radiustrack*.340/(19.9*radiuswheels)
w = 2*pi*f
f = 1/19.9
where f is the frequency of the car going around the track, w is the angular speed around the track, pi is 3.14
w = 2*pi/19.9 =0.315
The speed traveled by one tire is
where r is the radius of the wheel
The speed traveled by the other tire is
The difference in speeds of the wheels is w*(r+1.63)-w*r = 1.63w = .513 = w(tire)*r(tire)
where w(tire) is the angular speed of the tire, and r(tire) is the radius of the tire
w(tire)*0.340 = 0.513
Solve for w(tire)
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