Question:

Wheel Math?

So what is the formula for calculating the speed of a wheel using height, circumference, radius, ect.Heres an example:The height of the wheel is 77mm using this how can i find the speed of the wheel? Also how does Width of a wheel affect the speed? How does Width affect the turning?THANKS

Answer:

If you know the height (the diameter), then obtain the circumference using c pi*d 241.9 mm. (Remember to account for the tire in the height measurement.) For each revolution of the wheel, the wheel moves forward (or backward) 241.9 mm. So if the wheel is making 100 RPM, it is moving at 24190 mm/min, or 0.4 m/s (or 1.45 km/h). The width of the wheel does NOT affect this, BUT wider wheels tend to have higher profile tires (see my comment above about the tire and height measurement). Also, the width of the wheel does not significantly affect the maneuverability except that it adds to the friction required to turn the wheel (a larger contact patch will resist turning more than a smaller contact patch). The main difference that the width of the tire has is in traction and rolling resistance: a wider tire offers far greater traction, but since the pressure is generally lower to maintain a decent contact patch, the rolling risistance is higher. A narrow tire offers much less resistance, but also provides much less traction. On cars, wider tires are used for higher traction uses. On bicycles, wider tires are generally used to provide a softer ride (the tire needs less pressure as its width offers a larger contact patch for the lower pressure to act over).

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