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 = 
    w
    R
    .......so
    R = 
    w
    sin a

    also
    tan a = 
    w
    r
    ....so
    r = 
    w
    tan a