Banking angle is the angle between the normal horizontal path (N) and the curved banked path. The angle of banking of a curved path is defined as the angle through which the outer edge of the road is raised over the inner edge.
It is calculated as:
[tex]tan\theta = \frac{v^2}{rg}[/tex]
Here,
v = Linear velocity of object
r = Radius of the curved path
[tex]a_c[/tex] = Acceleration due to gravity
Rewriting the equation to solve for the radius we have that
[tex]r=\frac{v^2}{gtan\theta}[/tex]
[tex]r = \frac{30}{(9.8)(tan 75\°)}[/tex]
[tex]r = 24.6m[/tex]
Therefore the radius of a bobsled turn banked at 75° taken at 30m/s is 24.6m
