A car travels on a circular banked track of radius 300 m and having a banked angle of 22. What is the minimum time for one lap of the track if the car does not rely on friction to hold it on to the track?

Answer 1

component of mg down slope = component of m * centripetal acceleration down slope
m g sin 22 = (m v^2/R) cos 22
g tan 22 = v^2/R
v^2 = g R tan 22
solve for v
T = circumference / v = 2 pi R / v