Banked Curves Video Lessons

Concept

# Problem: 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°.

###### FREE Expert Solution

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.

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###### Problem Details

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°.