Angle of Curve for Centripetal Force w/ Radius 60m & Speed 70 km/hr

[tyfiem]

A curve of radius 60m is banked so that a car traveling with uniform speed 70 km/hr can round the curve without relying on friction to keep it from slipping to its left or right. The acceleration of gravity is 9.8m/s^2. What is the angle of the curve?

im using a=v^2/r, but when I get the acceleration, I don't know what to do no more.. i think it might be sin theta = g/a but I am not sure.. can anyone check? thanks in advance!

 

[Andrew Mason]

A curve of radius 60m is banked so that a car traveling with uniform speed 70 km/hr can round the curve without relying on friction to keep it from slipping to its left or right. The acceleration of gravity is 9.8m/s^2. What is the angle of the curve?

im using a=v^2/r, but when I get the acceleration, I don't know what to do no more.. i think it might be sin theta = g/a but I am not sure.. can anyone check? thanks in advance!

What is the net vertical acceleration? So what is the net vertical force? What are the sources of vertical force? (what force balances the force of gravity?). What is the net horizontal force? What is the source of this force?

AM