Ideal turning for a banked road:

$\overline{){\mathbf{t}}{\mathbf{a}}{\mathbf{n}}{\mathbf{\theta}}{\mathbf{=}}\frac{{\mathbf{v}}^{\mathbf{2}}}{\mathbf{r}\mathbf{g}}}$ where v is the speed of the vehicle, r is the radius of the curve, g is gravitational acceleration, and g is the gravitational acceleration.

If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding towards the inside of the curve (a real problem on icy mountain roads).

Calculate the ideal speed to take a 100 m radius curve banked at 15.0°.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Banked Curves concept. You can view video lessons to learn Banked Curves. Or if you need more Banked Curves practice, you can also practice Banked Curves practice problems.