Summarizing Centripetal Force Summary Centripetal force \({\text{F}}_{\text{c}}\) is any force causing uniform circular motion. It is a “center-seeking” force that always points toward the center of rotation. It is perpendicular to linear velocity \(v\) and has magnitude\(\phantom{\rule{0.25em}{0ex}}{F}_{\text{c}}={\text{ma}}_{\text{c}}\text{,}\)
which can also be expressed as
\(\left. \begin{array}{c} {F}_{\text{c}}=m\cfrac{{v}^{2}}{r}\\ \text{or}\\ {F}_{\text{c}}=\text{mr}\omega^{2}\end{array}, \right\}\)
Glossary centripetal force any net force causing uniform circular motion
ideal banking the sloping of a curve in a road, where the angle of the slope allows the vehicle to negotiate the curve at a certain speed without the aid of friction between the tires and the road; the net external force on the vehicle equals the horizontal centripetal force in the absence of friction
ideal speed the maximum safe speed at which a vehicle can turn on a curve without the aid of friction between the tire and the road
ideal angle the angle at which a car can turn safely on a steep curve, which is in proportion to the ideal speed
banked curve the curve in a road that is sloping in a manner that helps a vehicle negotiate the curve
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