A highway curves to the left with radius of curvature R = 27 meter. The highway's surface is banked at = 30 degree, thus that the cars can take this curve at higher speeds. Consider a car of mass 1741 kilogram whose tires have static friction coefficient μ = 0.66 against the pavement. The acceleration of gravity is 9.8m/s2 .
Find how fast can the car take this curve without skidding to the outside of the curve?
Answer in units of m/s.