Posted: Wed Nov 02, 2005 9:05 am
Yes, you are completely right about the wheel having to turn about the centre of its turning circle, not the contact patch, and therefore the scrub produced would be so minimal as to be negligible (taken up by tire slip).
Now, my attempt at an explanation as to why a sportbike can turn so sharply with a huge lean and hardly any front wheel steer. When a bike is leaned over, the action of turning the front wheel doesn't just turn the contact patch, but it also moves it along the tire. The fact that it moves laterally due to leaning is obvious, but it also moves longitudinally. Take for example a hypothetical bike which has totally vertical forks (zero trail), and can lean 90 degrees (impossible, i know, but bear with me). When said bike it leaned at 90*, the entire tire sidewall can be touching the ground when the front wheel is straight. But when the wheel is ever so slightly turned in the same direction as the lean, only the front part of the tire will be touching the ground, not the bottom part, which demonstrates that the contact patch has moved forward (by 90* around the outside of the tire). Obviously this is a huge exaduration, but the same priciple can be applied to a real bike. Say a bike is leaned 45* to the left. When the front wheel is straight (along the centreline of the bike), the contact patch is dircetly below the wheel centre (below meaning along the vertical axis of the bike). When the front tire is turned a bit, the contact patch moves forward to the front part of the tire. Obviously a real bike doesn't have zero trail, and so the tire doesn't turn about the bike's vertical axis but at an angle, so this slightly reduces this effect. As an interesting point, I think if you turn the wheel so much that the contact patch moves forward of the projection of the front forks, you end up with an instantaneous trail which is negative, and the bike becomes unstable and would probably cause a high side.
Now, what difference does it make if the contact patch moves forward? When the contact patch in on the bottom of the wheel, and the wheel is rotating, the wheel will move in a forward direction only. When the contact patch is on the front of the wheel and the wheel turns, it will move in a sideways direction only. When riding a bike, it is usually somewhere in between. This is hard to explain without a diagram so I'm not sure if you understand what I am trying to say. As a demonstration, grab some sort of circular wheel (a roll of tape works well) and hold it in front of you on a table. Now lean the roll of tape to the side. Notice the contact patch may have moved laterally, but not longitudinally. Now turn the wheel about its vertical axis (which is now at an angle to the table), much like the forks would turn a cycle wheel. Notice the contact patch moves forward, and the direction it points in is not straight ahead.
Basically, the more lean you have, the less front tire turn it takes to make the bike turn, but if the front tire stays straight ahead (along the centreline of the bike), the bike will not turn no matter how much you lean. This can be demostrated with an example as well. Hop on a bicycle, and get up to speed. Then, stand up on the pedals, and lean the bike, while keeping your weight vertically above the contact patch (so only lean the bike, but not yourself). You will find that you can continue to ride straight by holding the bars completely forward. This demonstration also proves that the tire profile causes an insignificant force.
If this doesn't make sense to you, let me know. I'll try to draw a diagram and post it.
Jacob
Now, my attempt at an explanation as to why a sportbike can turn so sharply with a huge lean and hardly any front wheel steer. When a bike is leaned over, the action of turning the front wheel doesn't just turn the contact patch, but it also moves it along the tire. The fact that it moves laterally due to leaning is obvious, but it also moves longitudinally. Take for example a hypothetical bike which has totally vertical forks (zero trail), and can lean 90 degrees (impossible, i know, but bear with me). When said bike it leaned at 90*, the entire tire sidewall can be touching the ground when the front wheel is straight. But when the wheel is ever so slightly turned in the same direction as the lean, only the front part of the tire will be touching the ground, not the bottom part, which demonstrates that the contact patch has moved forward (by 90* around the outside of the tire). Obviously this is a huge exaduration, but the same priciple can be applied to a real bike. Say a bike is leaned 45* to the left. When the front wheel is straight (along the centreline of the bike), the contact patch is dircetly below the wheel centre (below meaning along the vertical axis of the bike). When the front tire is turned a bit, the contact patch moves forward to the front part of the tire. Obviously a real bike doesn't have zero trail, and so the tire doesn't turn about the bike's vertical axis but at an angle, so this slightly reduces this effect. As an interesting point, I think if you turn the wheel so much that the contact patch moves forward of the projection of the front forks, you end up with an instantaneous trail which is negative, and the bike becomes unstable and would probably cause a high side.
Now, what difference does it make if the contact patch moves forward? When the contact patch in on the bottom of the wheel, and the wheel is rotating, the wheel will move in a forward direction only. When the contact patch is on the front of the wheel and the wheel turns, it will move in a sideways direction only. When riding a bike, it is usually somewhere in between. This is hard to explain without a diagram so I'm not sure if you understand what I am trying to say. As a demonstration, grab some sort of circular wheel (a roll of tape works well) and hold it in front of you on a table. Now lean the roll of tape to the side. Notice the contact patch may have moved laterally, but not longitudinally. Now turn the wheel about its vertical axis (which is now at an angle to the table), much like the forks would turn a cycle wheel. Notice the contact patch moves forward, and the direction it points in is not straight ahead.
Basically, the more lean you have, the less front tire turn it takes to make the bike turn, but if the front tire stays straight ahead (along the centreline of the bike), the bike will not turn no matter how much you lean. This can be demostrated with an example as well. Hop on a bicycle, and get up to speed. Then, stand up on the pedals, and lean the bike, while keeping your weight vertically above the contact patch (so only lean the bike, but not yourself). You will find that you can continue to ride straight by holding the bars completely forward. This demonstration also proves that the tire profile causes an insignificant force.
If this doesn't make sense to you, let me know. I'll try to draw a diagram and post it.
Jacob