Centripetal Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Centripetal Acceleration

Centripetal acceleration ( \(a_c\) ) is acceleration towards the center that keeps an object in an elliptical orbit.

Centripetal Acceleration Formula

\(a_c = \frac { v^2 } { r }   \)          \(centripetal \; acceleration \;=\; \frac { velocity \; squared } { radius }   \)

Where:

\(a_c\) = centripetal acceleration

\(r\) = radius

\(v\) = velocity

Solve for:

\(v =   \sqrt { a r }   \)

\(r = \frac { v^2 } { a }   \)

 

Tags: Equations for Acceleration