v² = r * g * cos(theta) (Formula for Minimum Speed on a Banked Curve)

Definition

This formula calculates the minimum speed required for an object to safely navigate through a banked curve without any slipping or skidding. It takes into account the radius of curvature, acceleration due to gravity, and angle of the banked curve.

Analogy

Imagine driving on a curved road with a steep incline. If you go too slow, your car might slide down the slope, but if you go too fast, your car might skid outwards. The formula helps determine the minimum speed needed to safely navigate the curve without any slipping or skidding.

Related terms

Banked Curve: A curved road or track that is higher on one side than the other to assist vehicles in turning.

Radius of Curvature: The radius of the circle that best approximates a particular section of a curve.

Acceleration due to Gravity: The acceleration experienced by an object in free fall near the surface of the Earth.