How Do Tire Sizes Affect Car Speed at Constant RPM?

[gjb19]

Hello. I was wondering if anyone could help me with this problem. You'll probably think it is easy, but oh well .


begin to explore aspects of angular velocity/and linear velocity and how tires affect them.


Car Type Tire Type Tire Diameter-inches
Ford Taurus 215/60-16 26.16
Chevy Camaro 235/55-16 26.18
Dodge Dakota 255/55-17 28.04

#1. Find the speed of each car in mph when the wheels are turning at 800rpm.

Ok, my question is what formula do I use that includes the Tire type?


thanks
Grant

 

[Tomsk]

You'll need to use the diameters given to find the speed of the outer edge of the wheel at 800rpm. I don't think you need to know the tire types. In fact I don't have a clue what the tire type means, but I can figure out the speeds of those cars!

 

[kyle8921]

Hello Grant,

Thank you for reaching out for help with this problem. It's great that you are exploring the relationship between angular velocity and linear velocity and how it is affected by tires.

To answer your question, the formula you will need to use is v = ωr, where v is the linear velocity in meters per second, ω is the angular velocity in radians per second, and r is the radius of the tire in meters.

However, since your tire diameter is given in inches, you will need to convert it to meters first. You can do this by multiplying the diameter by 0.0254 (1 inch = 0.0254 meters).

Using this formula, you can find the linear velocity of each car by plugging in the given values for angular velocity (800rpm) and tire diameter (converted to meters). Remember to convert the result to miles per hour (mph) by multiplying by 2.237.

I hope this helps you solve the problem. Let me know if you have any further questions. Good luck!

Best,