What Speeds Are Safe for a Banked Curve in Wet Conditions?

AI Thread Summary
The discussion focuses on calculating safe speeds for a banked curve with a radius of 300m and a 10-degree angle, specifically under wet conditions with a friction coefficient of 0.4. For part (a), the speed required without friction is determined using the formula Fc=mv²/r. In part (b), the challenge lies in finding both maximum and minimum speeds considering friction, as it can prevent sliding down or up the ramp. The key point is understanding how friction affects the forces acting on the vehicle in a banked curve. Clarification on achieving two distinct speeds is sought, emphasizing the role of friction in maintaining stability.
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Homework Statement


the curve has a radius of 300m and is banked at an angle of 10.0degrees. (a) what speed is no friction required? (b)suppose it is raining and the coefficient of friction is 0.4, what are the maximum and minimum speeds at which the curve can be travelled


Homework Equations



Fc=mv2/r
Fnet=0

The Attempt at a Solution


i attached my work. i think i have the right answer to part (a) and think I'm on the right track for part (b) but i don't know how to get two speeds, i only end up wit one.
any help would be great. thanks
 

Attachments

  • banked curve.JPG
    banked curve.JPG
    47.1 KB · Views: 512
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Consider what the friction can keep the car from doing, it can either be used to keep the car from sliding down the ramp, but it could also be the reason it doesn't slip up the ramp.
 

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