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calculation of wheel angular speed from gear ratios


mvrick208
12-06-2014, 12:05 PM
If I know that a car has a gear ratio of 3.23:1 for the first gear with a wheel diameter of 0.715 metres and does 65 mph @ 7500 rpm in first gear, how can I calculate the angular velocity of the wheel ?

would it just be 7500 rpm / 3.23 = 2321 RPM @ Wheel ?

mvrick208
12-06-2014, 12:33 PM
If I know that a car has a gear ratio of 3.23:1 for the first gear with a wheel diameter of 0.715 metres and does 65 mph @ 7500 rpm in first gear, how can I calculate the angular velocity of the wheel ?

would it just be 7500 rpm / 3.23 = 2321 RPM @ Wheel ?

I found it:

Engine RPM/ Gear Ratio = Approx Driveshaft RPM
Driveshaft RPM / Final Drive Ratio = Wheel RPM

Pi * Wheel Diameter * Wheel RPM = Speed of Vehicle

Units depend on whatever you use.

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