jess wrote:
beyond the contact patch mathematics
Sometimes common sense isn't correct. Hopefully, we have a Physics Grad Student among our MP3 alumni.
The three contact points of the MP3 would provide more STABILITY in high-speed turns on dry surfaces because of the geometry and also in situations where one of the front tires contacts a wet or slippery surface while the other front tire remains in contact with a dry surface. But I'm not discussing these situations; I'm interested in the actual physics when all three wheels are in contact with a wet surface - riding in the rain.
Best as I can figure it goes something like this:
We see race cars with wide tires and assume that the reason for the wide tire is to provide a large "contact patch" for additional traction when the reality is that it is the soft sticky rubber of the tires that provides traction via molecular friction, the tires are also designed to provide a controlled slide (actually lose traction), and the reason the tire is WIDE is due to shear stress at the tire surface (a soft sticky compound giving better traction is weaker in shear).
Thus, if all tires were made of the same compound and race car tires were not designed to exhibit a controlled slide; race cars would have narrow tires for better traction in turns BECAUSE the smaller the surface area contacting the ground the greater the contact pressure the tire has to hold it at that physical point without slipping (not addressing heat dissipation issues in racing tires). Case in point, rally cars in the snow have narrow tires.
Now, bear in mind we are talking wet traction and specifically riding in the rain: any car would benefit from narrow tires while driving on a wet surface for two reasons: [1] the smaller the surface area contacting the ground the greater the contact pressure the tire has to hold it at that physical point without slipping and [2] the increased pressure and reduced surface area makes it easier to drain or "unload" water from under the tire to prevent hydroplaning.
With reference to the MP3, the three points provide more stability on a dry surface due to the geometry but the reduced surface area of a conventional motorcycle with two wheels (two contact points) actually provides greater contact pressure in wet conditions and less chance of hydroplaning. In addition, a Vespa with the same 250 engine has half the weight and would exhibit a shorter stopping distance using only the rear brake with a decreased chance of hydroplaning and certainly less chance of hydroplaning compared to using the two front brakes on the MP3.
My 2-cents.