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Calculate angle of lean on motorcycle round a regular curve

I would for interests sake like to do what the question title says.

Consider a curve with a constant radius (r) and a motorcycle traveling at constant linear velocity (v) approaching the curve.  There coefficient of friction between the tyre and the road is sufficient that the tyre will not slip (at any reasonable speed round the curve - ie no drifting to be considered).
I would like to know what is the angle the motorcycle will be from vertical for it to navigate the curve.

What is the equation to calculate the angle?
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AndyAinscow
Asked:
AndyAinscow
3 Solutions
 
ozoCommented:
arc tan (v²/r / g)
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Sinoj SebastianCTO & OpenERP Project managerCommented:
I hope that this link will be useful for you
http://en.wikipedia.org/wiki/Bicycle_and_motorcycle_dynamics#Leaning
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aburrCommented:
I think ozo intended to write
arc tan(v^2/(r*g))
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AndyAinscowFreelance programmer / ConsultantAuthor Commented:
Thanks all,
the link looks very interesting.
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ozoCommented:
(v²/r) / g = v^2/(r*g)
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AndyAinscowFreelance programmer / ConsultantAuthor Commented:
v²/r / g


is that (v²/r) / g
or v²/(r / g)  ?  

(That is why I gave an assist to aburr - for anyone else that takes a look here)
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