- #1
Jacky Lee
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Homework Statement
A concrete highway curve of radius 70 m is banked at a 15° angle. What is the maximum speed with which a 1500 kg rubber tired car can take this curve without sliding? The static friction coefficient is 1.
Homework Equations
Centripetal Force = ## (m v^2) / r ##
Maximum Friction Force = ## μN ##
The Attempt at a Solution
## (m v^2) / r ## = centripetal force
Friction_max = 1 * normal force = ## 9.8 * 1500 * cos(15) = 14199.11 N ##
Plug back into equation:
## (1500 v^2) / 70 = 14199.11 ##
Which yields v = 25.7 m/s
However, the answer is 34.5 m/s. What am I doing wrong? I don't understand where I am going wrong in my steps.