# Hard centripetal forc eproblem

1. Jun 15, 2010

### superaznnerd

1. The problem statement, all variables and given/known data
a 1000kg car negotiates a banked friction free track or radius 25m with speed 30m/s

to what angle to the horizontal is the road banked?

2. Relevant equations

3. The attempt at a solution
tried to calculate the normal force of the car, to find the angle between the weight vector and the normal force vector, which would be equal to the angle that the road is banked.
However, I could not find the angle fo the normal force

2. Jun 15, 2010

### rock.freak667

If the angle of baking is θ, what is the component of the weight that points towards the center of the path?

3. Jun 15, 2010

### superaznnerd

mgsin theta, you dont know theta though..

4. Jun 15, 2010

### collinsmark

A free body diagram will allow you to use trigonometry to find theta.

5. Jun 15, 2010

### rock.freak667

if that force provides the centripetal force, you can find θ.

Fc=mv2/r remember?