Solving Rotational Motion: Max Speed on Spherical Hill

[mxer101]

rotational motion??

Homework Statement

A rider rides a motorcycle over a spherical hill with a radius of 12 meters. Show that the max speed cannot exceed 24mph or 10.8 m/s is he is to remain on the surface of the hill

Homework Equations

The Attempt at a Solution

I am not sure which equation to use!

 

[rl.bhat]

What are the forces acting on him when he is on the top of the hill?

 

[rock.freak667]

What force keeps him touching the hill?

 

[mxer101]

the force keeping him on the hill is gravity so would I use g=1/2 dt2?

 

[rl.bhat]

If he is to remain on the surface of the hill, his weight must be equal to the centrifugal force acting on him due to his circular motion. Therefore mg = mv^2/r. Find the value of v.