[image: View Post]Mac, on 26 September 2010 - 12:12 PM, said:
Now straiten me out, if I am incorrect.
Lean angle is measured from vertcle, not horizontal.
That is really getting with the program, at Shady. Nice work.
Gotta give Rollin, a nod as not to thread jack this thing. I think that white 3rd gen are the best looking VFRs!
Mac
Yeah it is a great looking bike.
/begin threadjacking mode/
And according to wiki you are correct about the angle, i was just too lazy to do the math and it's easier to measure from the ground up, so Lean Angle=90-horizontal angle
from [
http://en.wikipedia....cycle_dynamics]
Leaning
However, unlike other wheeled vehicles, bikes must also lean during a turn to balance the relevant forces: gravitational, inertial, frictional, and ground support. The angle of lean, θ, can easily be calculated using the laws of circular motion:
\theta = \arctan \left (\frac{v^2}{gr}\right )
where v is the forward speed, r is the radius of the turn and g is the acceleration of gravity.[25] This is in the idealized case. A slight increase in the lean angle may be required on motorcycles to compensate for the width of modern tires at the same forward speed and turn radius.[22]
For example, a bike in a 10 m (33 ft) radius steady-state turn at 10 m/s (22 mph) must be at an angle of 45�. A rider can lean with respect to the bike in order to keep either the torso or the bike more or less upright if desired. The angle that matters is the one between the horizontal plane and the plane defined by the tire contacts and the location of the center of mass of bike and rider.
This lean of the bike decreases the actual radius of the turn proportionally to the cosine of the lean angle. The resulting radius can be roughly approximated (within 2% of exact value) by:
r = \frac{w\cos \left (\theta \right )}{\delta \cos \left (\phi \right )}
where r is the approximate radius, w is the wheelbase, θ is the lean angle, δ is the steer angle, and φ is the caster angle of the steering axis.[7] As a bike leans, the tires' contact patches move farther to the side causing wear. The portions at either edge of a motorcycle tire that remain unworn by leaning into turns is sometimes referred to as chicken strips.
/end tj mode/