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Centripetal acceleration: Difference between revisions

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''Centripetal acceleration'', <math display="inline">\vec{a_c}</math>, is the acceleration that accounts for an object in circular motion's change in direction.  Centripetal acceleration is inversely proportional to velocity <math>\vec{v}</math> and radius <math>r</math>, such that:
''Centripetal acceleration'', <math display="inline">\vec{a_c}</math>, is the [[Kinematics#Acceleration|acceleration]] that accounts for an object in circular motion's change in direction.  Centripetal acceleration is inversely proportional to [[Kinematics#Velocity|velocity]] <math>\vec{v}</math> and radius <math>r</math>, such that:


<math display="block">\vec{a_{c}} = \frac{v^2}{r}</math>
<math display="block">\vec{a_{c}} = \frac{v^2}{r}</math>
[[Category:Rotational kinematics]]
[[Category:Rotational kinematics]]

Latest revision as of 06:24, 16 February 2026

Centripetal acceleration, ac, is the acceleration that accounts for an object in circular motion's change in direction.  Centripetal acceleration is inversely proportional to velocity v and radius r, such that:

ac=v2r