Question
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?
Answers
Damon
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
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