The Ideal Speed on a Banked Curve
Problem:
What is the ideal speed to take a 100 m radius curve banked at a 20.0° angle?
Solution:
The formula for the ideal speed on a banked curve can be derived from the formula of the ideal angle. That is, starting from , we can solve for .
For this problem, we are given the following values:
- radius of curvature,
- acceleration due to gravity,
- banking angle,
If we substitute the given values into our formula, we have
The ideal speed for the given banked curve is about .
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