

Turning Radius calculation 


Introduction
This article describes the calculation of the turning radius of a car or bicycle.
This radius depends on two things:
 the wheelbase w , which is the distance between the front and the rear wheel
 the angle a of the front wheel
We suppose that only the front wheel is able to turn.
See figure below:


side view 
top view 
Calculation
The front and rear wheel follow a circle with the same center.
At all times, the direction is perpendicular to the radius.
See figure below:

movement 
The radius of the front wheel is R, the rear wheel r.
From the figure above we conclude:
sin a = .......so
R =
also
tan a = ....so
r =

