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Problems on Centripetal Force

Related Topics

Wize University Physics Textbook (Master) > Circular Motion

Banked Roads

3 Activities

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Practice: Banked Road and Centripetal Force

A curve with a 120-m radius on a level road is banked at the correct angle for a speed of 20 m/s.

(a) If an automobile rounds this curve at 30 m/s, what is the minimum coefficient of static friction needed between tires and road to prevent skidding?
(Hint: start by finding the angle of inclination of the curve. For a banked curve with no friction, there is one speed and one angle where it is safe to drive around the curve.)

(b) With this coefficient of static friction and angle of inclination, what would be the slowest possible speed you can safely drive on the curve without slipping?
(Hint: You will need a slightly modified FBD from above.)


More Banked Roads Questions:
A 20 m radius curve is banked in such a way that vehicles can drive on the road at speeds up to 65 km/h, and make the turn even when there is no friction. At what angle should the curve be banked? (Enter your answer in degrees, two sig figs)
Problems on Centripetal Force
(Heads up - this is a tougher problem! If you can follow it start to finish, then you are doing great :) )
A curve with a 120-m radius on a level road is banked at the correct angle for a speed of 20 m/s.
(a) If an automobile rounds this curve at 30 m/s, what is the minimum coefficient of static friction needed between tires and road to prevent skidding?
Consider a banked road where there is a coefficient of static friction of 0.30 and a coefficient of kinetic friction of 0.25 between the tires and the roadway.The radius of the curve is R =50 m. (a) If the banking angle is b=25∘b=25^{\circ}, what is the maximum speed the automobile can have before sliding up the banking ? (b) What is the minimum speed the automobile can have before sliding down the baking?
Enter the numerical answer with no units as your answer (units are m/s)
A curve with a 120-m radius on a level road is banked at the correct angle for a speed of 20 m/s. If an automobile rounds this curve at 30 m/s, what is the minimum coefficient of static friction needed between tires and road to prevent skidding?
A bus moving at 40 km/h negotiates a 130m radius banked turn designed for 60 km/h. What coefficient of friction is needed to keep the bus on the road?
If there is no friction between the tires and the road at what angle should the road bed be banked so that a car traveling at 30 m/s can safely drive without sliding if the radius of the curve is 100 m?
A turn around has a radius of 70 meters and a banking angle of 10o. What is the critical, speed (the speed for which no friction is required between the car's tires and the surface) for a car on this curve?
A 20 m radius curve is banked in such a way that vehicles can drive on the road at speeds up to 65 km/h, and make the turn even when there is no friction. At what angle should the curve be banked?
A turn around has a radius of 70 meters and a banking angle of 10o. What is the critical, speed (the speed for which no friction is required between the car's tires and the surface) for a car on this curve? (Pick the closest number)