|Jan20-10, 11:48 PM||#1|
What angle should the curve be banked at?
1. The problem statement, all variables and given/known data
A 162kg car rounds a curve with a radius of 267 m at 43 m/s. The acceleration of gravity is 9.8 m/s2
a. (already solved) - What force must the road exert on the road to keep the car on the curve.
b. - At what angle must the curve be banked to give a passenger the most comfortable ride?
2. Relevant equations
Centripetal force = mass x velocity2/radius
Centripetal acceleration = velocity2/radius
3. The attempt at a solution
I have no attempt. I do not understand what part "b" of the problem is asking or how to solve for it.
I don't even really want a solution, I just need someone to explain to me how to solve what angle the curve should be banked at, and I'll solve it myself.
|Jan21-10, 12:07 AM||#2|
The centripetal force should be the same as the component of the weight for a comfortable ride.
|Jan21-10, 12:07 AM||#3|
If R is the normal reaction of the road on the car, for comfortable driving, R*cosθ must balance the weight of the car mg, and R*sinθ must provide necessary centripetal force m*v^2/r. Using these hints solve for θ.
|angles, centripetal foce|
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