Question

Calculate angle of lean on motorcycle round a regular curve

Asked by: AndyAinscow

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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Asked On
2009-05-15 at 02:34:07ID24411470
Topic

Math & Science

Participating Experts
3
Points
500
Comments
6

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Answers

 

by: ozoPosted on 2009-05-15 at 02:49:22ID: 24393673

arc tan (v²/r / g)

 

by: sinojPosted on 2009-05-15 at 02:51:01ID: 24393686

I hope that this link will be useful for you
http://en.wikipedia.org/wiki/Bicycle_and_motorcycle_dynamics#Leaning

 

by: aburrPosted on 2009-05-15 at 06:54:18ID: 24395553

I think ozo intended to write
arc tan(v^2/(r*g))

 

by: AndyAinscowPosted on 2009-05-15 at 07:43:08ID: 31581846

Thanks all,
the link looks very interesting.

 

by: ozoPosted on 2009-05-15 at 11:12:43ID: 24398359

(v²/r) / g = v^2/(r*g)

 

by: AndyAinscowPosted on 2009-05-15 at 11:25:24ID: 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)

20120131-EE-VQP-002

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