This is not always true. For a couple of reasons. Some engines will work much more efficiently at a higher RPM with light load, than a lower RPM with heavy load.jerryk wrote:A larger overall tire height (not just RIM diameter) will lower the RPM needed to maintain a speed, so it will improve your gas mileage.
So does an increase in the moment of inertia. I think everyone is missing that there are two areas to look at when addressing this question:WizardBlack wrote:I like how everyone tries to get into the long calculations of rolling radius. :-)
Let me ask you; do you get tired faster running on concrete or in sand?
Assuming you have same type of tire construction, same tire pressure, same rolling radius and same weight, the larger rim makes for a "stiffer" wheel and therefore it's more like concrete than sand. Larger sidewalls, heavier wheels, lower tire pressure, softer road substrate all make for more "work" your car does in the form of spinning, flexing and squishing things; mostly the tire and rim itself. This = lower mpg.
Ever pushed a car on level ground at constant speed?WizardBlack wrote:I like how everyone tries to get into the long calculations of rolling radius. :-)
Let me ask you; do you get tired faster running on concrete or in sand?
Assuming you have same type of tire construction, same tire pressure, same rolling radius and same weight, the larger rim makes for a "stiffer" wheel and therefore it's more like concrete than sand. Larger sidewalls, heavier wheels, lower tire pressure, softer road substrate all make for more "work" your car does in the form of spinning, flexing and squishing things; mostly the tire and rim itself. This = lower mpg.
No it's not required in HS at least not in NC. I can't believe I've neglected the engineering forums for so long. What was I thinkingQ45tech wrote:The aftermarket industry DEPENDS on the typical buyer not understanding even high school physics.
Just a little note even though I know you know this already but any car wheel can't be modeled using an equation for a thin disc. Whether you are attempting to calculate the mass moment of inertia or the polar moment of area along any axis the fact that its not a thin circular disc and that it has a deformable body (tire) encasing it and that that's filled with air (a compressible fluid) means that you're already into Masters if not PHD level calculations and will probably need an applied mathematician on hand to help.Red coupe wrote:Ever pushed a car on level ground at constant speed?
Ever spun a 25lb 18in metal disk from a stop to ~400rpm in a couple of seconds?
I'd have to do more math to give you an exact answer... but I can give you a fairly firm guarentee that the second is harder, if even doable then consider that X 4.
Rolling resistance is a lot less then it takes to accelerate a wheel.
Uhhh thanks I guess, but did you even read what I was talking about? I wasn't talking about tire deformation, traction forces or anything like that I was talking about rolling resistance and rotational inertia. Even then I wasn't talking about actually calculating it. Sure the actual moment of inertia of a wheel can't be calculated as a simple disc, and yes the tire deforms with speed (a little bit, but really that only increases the moment of inertia amplifying what I am trying to point out)EMK wrote:Just a little note even though I know you know this already but any car wheel can't be modeled using an equation for a thin disc. Whether you are attempting to calculate the mass moment of inertia or the polar moment of area along any axis the fact that its not a thin circular disc and that it has a deformable body (tire) encasing it and that that's filled with air (a compressible fluid) means that you're already into Masters if not PHD level calculations and will probably need an applied mathematician on hand to help.
I know just when you think you get close to the answer it's like and that's just to solve one variable in the equation.
But no worries as long as the general idea is understood that should allow you to make a good choice or as they liked to call it back in school An Educated Guess.
I did read what you were saying. I guess I didn't do a good job acknowledging that. I understood based on what you were saying not only that you knew what you were talking about but also that you were trying to give a general understanding of the idea of inertia of a rotational body. Yea I'm aware that the tangent I went off on didn't really help either. In retrospect I guess my post wasn't really helpfulRed coupe wrote:Uhhh thanks I guess, but did you even read what I was talking about? I wasn't talking about tire deformation, traction forces or anything like that I was talking about rolling resistance and rotational inertia. Even then I wasn't talking about actually calculating it. Sure the actual moment of inertia of a wheel can't be calculated as a simple disc, and yes the tire deforms with speed (a little bit, but really that only increases the moment of inertia amplifying what I am trying to point out)
But a disk is a perfectly fine demonstration to show how hard it would be to spin a wheel up to tire speed by hand. You don't need any complex computer modeling to show that it is harder to accelerate a spinning wheel with the mass and size of a wheel then to push a car on level ground at a constant speed.
But even IF what you were saying had anything to do with what I was talking about... Your still wrong. It WAS done by one man (Maurice Olly, granted with some shared test data though) as early as the 50's with out the luxury of computers. He was able to predict and match skid pad test data with in a reasonable margin of error... And the formulas and methods still exists and don't require more then some testing and mid Junior level mathematics and engineering to duplicate. Go Pick up "Chassis Design: Principals and Analysis" from SAE book, it describes the method and formulas. He does so starting his analysis of the wheel as a simple rubber disk, sandwiched between two concentric plates with a smaller diameter to for the "rim".
Gad to have another person in he engineering forum, and I realize that we will never get anything exact... But in a discussion like this what does a page long post about how no one knows really add?
The book is "CHASSIS DESIGN Principles and Analysis" by Milliken & Milliken. Its an SAE publication, so you can buy it off the SAE website and get a discount if your have a SAE membership.EMK wrote:I wasn't trying to say I knew everything or that the answer was impossible simply to say that the question is too general for a clear answer. As far as that book is that the whole title? I need to pick that up for my design project (gotta build a pseudo formula 1 car)
Thanks for the much needed correction. I expect to be wrong about some things at this point. That's why I'm still a student. Isn't that what testing and factors of saftey are for?