PHYSICS
posted by J .
A banked circular highway curve is designed for traffic moving at 60 km/h. The radius of the curve is 205 m. Traffic is moving along the highway at 40 km/h on a rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to negotiate the turn without sliding off the road?

Use the 60 km/h "naked curve design speed" to determine th banking angle, A. First convert the speed to m/s.
(M V^2/R) = M g sin A
sin A = V^2/(Rg)
If the car is travelling at a slower speed, the friction force plus the gravity component must exceed the centripetal force in the radial direction along the surface. Use that fact to determine the required friction coefficient. 
Somehow the word "banked" got typed as "naked". I must not be quite awake yet
Respond to this Question
Similar Questions

physics
A banked circular highway curve is designed for traffic moving at 84 km/h. The radius of the curve is 152 m. Traffic is moving along the highway at 43 km/h on a rainy day. What is the minimum coefficient of friction between tires and … 
PHYSICS
A circular curve of highway with radius 200m is designed for traffic moving at 100km/h, and is banked so that cars can make the curve even without friction at that speed. What is the correct angle of banking for this curve? 
Physics
A banked circular highway curve is designed for traffic moving at 60 km/h. The radius of the curve is 207 m. Traffic is moving along the highway at 42 km/h on a rainy day. What is the minimum coefficient of friction between tires and … 
physics
A banked circular highway curve is designed for traffic moving at 55 km/h. The radius of the curve is 220 m. Traffic is moving along the highway at 38 km/h on a rainy day. What is the minimum coefficient of friction between tires and … 
Physics HELP! QUICK!
A banked circular highway curve is designed for traffic moving at 55 km/h. The radius of the curve is 220 m. Traffic is moving along the highway at 38 km/h on a rainy day. What is the minimum coefficient of friction between tires and … 
Physics Mechanics
A banked circular highway curve is designed for traffic moving at 57 km/h. The radius of the curve is 211 m. Traffic is moving along the highway at 48 km/h on a rainy day. What is the minimum coefficient of friction between tires and … 
Physics
A banked circular highway curve is designed for traffic moving at 65 km/h. The radius of the curve is 207 m. Traffic is moving along the highway at 43 km/h on a rainy day. What is the minimum coefficient of friction between tires and … 
Physics
A banked circular highway curve is designed for traffic moving at 90 km/h. The radius of the curve is 70 m. If the coefficient of static friction is 0.30 (wet pavement), at what range of minimum and maximum speeds can a car safely … 
physics
A circular curve of highway is designed for traffic moving at 93 km/h. Assume the traffic consists of cars without negative lift. (a) If the radius of the curve is 110 m, what is the correct angle of banking of the road? 
physics
A banked circular highway curve is designed for traffic moving at 57 km/h. The radius of the curve is 216 m. Traffic is moving along the highway at 42 km/h on a rainy day. What is the minimum coefficient of friction between tires and …