pHYSICS HELP?

Question

A car goes around a curve on a road that is banked at an angle of 30.0°. Even though the road is slick, the car will stay on the road without any friction between its tires and the road when its speed is 22.0 m/s. What is the radius of the curve?

Answer 1

There is a radial acceleration called centripetal which has the value
v^2/R


the force down the incline is
m*g*sin(30)-m*cos(30)*v^2/R

if the car does not have any frictional reaction force, then this force must sum to zero
so
R=v^2/(tan(30)*g)
or
R=22^2/(tan(30)*9.81)
=85.5 m
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