- #1

Jacky Lee

- 8

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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.