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Centripetal Acceleration

1,428 bytes added, 21:05, 22 May 2024
Created page with "==Key Stage 5== ===Meaning=== Centripetal acceleration is the acceleration experienced by an object moving in a Circular Motion|circular..."
==Key Stage 5==
===Meaning===
[[Centripetal Acceleration|Centripetal acceleration]] is the [[acceleration]] experienced by an [[object]] moving in a [[Circular Motion|circular path]], directed towards the centre of the circle.

===About Centripetal Acceleration===
*'''Centripetal acceleration''' is always directed towards the centre of the [[Circular Motion|circular path]].
*Constant '''centripetal acceleration''' is necessary for maintaining [[Circular Motion|uniform circular motion]].
*The magnitude of '''centripetal acceleration''' increases with the square of the [[velocity]].
*'''Centripetal acceleration''' is essential in understanding the motion of [[planet]]s, [[satellite]]s, and [[object]]s in [[Circular Motion|circular motion]].
*'''Centripetal acceleration''' can be derived from Newton's second law for rotational motion.
*'''Centripetal acceleration''' is relevant in designing safe turns for roads and roller coasters.

===Formula===
'''Centripetal acceleration''' is given by the formula:

*<math>𝑎=\frac{𝑣^2}{𝑟}</math>

Where

𝑎 is the [[acceleration]] of the [[object]]

𝑣 is the [[velocity]]

and

𝑟 is the radius of the circular path.


===Examples===

*A car turning around a circular track experiences centripetal [[acceleration]] towards the centre of the track.
*Satellites orbiting the [[Earth]] are in constant centripetal [[acceleration]] towards the [[Earth]]’s centre.