A car is approaching a freeway exit at 100 kmh 2 The next se
A car is approaching a freeway exit at 100 km/h.
2. The next section is flat of radius of 100m
The road conditions are dry with a coefficient of static friction of 0.6.
(a) To safely exit the highway on the flat section the driver must be moving at no more than ______ m/s around the flat section.
(b) To safely move around the banked section the driver must be moving at no more than _______ m/s.
Solution
Here,
let the speed in the flat section is v
1)radius , r = 100 m
speed of car is v
v^2/r = us * g
v^2/100 = 0.6 * 9.8
v = 24.3 m/s
the speed can\'t be more than 24.3 m/s at the flat surafce.
2) at the banked surface
radius , r = 80 m
v^2/r = g * sin(theta) + us *g
v^2/80 = 9.8 * (sin(6 degree) + 0.6)
v = 23.5 m/s
the speed can\'t be more than 23.5 m/s at the banked surface
