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What is the difference between centripetal and angular acceleration? 
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#1
Apr1312, 08:43 PM

P: 42

So as the title says, what is the difference between centripetal and angular acceleration? I already know that there is a difference in the equations for each of the components but can someone please explain it conceptually? Please use some examples in your explanation.



#2
Apr1312, 09:17 PM

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P: 2,193

Centripetal acceleration simply means a centrallydirected force accelerating an object. As in the case of a ball on a string whirling around, the ball experiences a centripetal acceleration. Angular acceleration, however, is the change in angular velocity of the ball: if it were speeding up in its rotation, it would experience angular acceleration (i.e. if you shorten the string).



#3
Apr1312, 09:44 PM

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#4
Apr1312, 09:52 PM

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What is the difference between centripetal and angular acceleration?



#5
Apr1312, 10:17 PM

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P: 9,657

A body undergoes centripetal acceleration (the acceleration it needs in order to keep moving around some focus) when subjected to a centripetal force (from a string, gravity..). This applies even when the rate of rotation does not change. A body undergoes angular acceleration when subjected to an angular force (torque). This would often be a ball/disc/wheel made to spin faster or more slowly, but would also apply if, as Nabeshin says, the orbital rate changes. In algebra, centripetal acceleration is r.[itex]\omega[/itex][itex]^2[/itex]; angular speed is r.[itex]\omega[/itex]; angular acceleration is [itex]\partial[/itex](r.[itex]\omega[/itex])/[itex]\partial[/itex]t. Either acceleration can be zero (at least briefly) while the other is not. 


#6
Apr1312, 11:20 PM

P: 963

I wish i could remember these equations
[itex] v=\dot{R}\hat r + Rω\hat θ[/itex] [itex] a=( \ddot {R}Rω^2)\hat r +(Rα+2\dot {R}w)\hat θ[/itex] 


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