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# Calculate angle of lean on motorcycle round a regular curve

Posted on 2009-05-15
Medium Priority
691 Views
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?
0
Question by:AndyAinscow
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LVL 84

Assisted Solution

ozo earned 920 total points
ID: 24393673
arc tan (v²/r / g)
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Accepted Solution

Sinoj Sebastian earned 1000 total points
ID: 24393686
I hope that this link will be useful for you
http://en.wikipedia.org/wiki/Bicycle_and_motorcycle_dynamics#Leaning
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Assisted Solution

aburr earned 80 total points
ID: 24395553
I think ozo intended to write
arc tan(v^2/(r*g))
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Author Closing Comment

ID: 31581846
Thanks all,
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Expert Comment

ID: 24398359
(v²/r) / g = v^2/(r*g)
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Author Comment

ID: 24398472
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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