I was doing a physics problem and realized that the formula for angular acceleration was the same as the formula for centripetal acceleration (in terms of angular speed)(adsbygoogle = window.adsbygoogle || []).push({});

They both are [tex]\omega^2r[/tex]

where w is angular speed and r is the radius

Why is that so? When I tried to derive this I got...

[tex]a_{centripetal}=\frac{v^2}{r}[/tex]

[tex]a_{centripetal}=\frac{v}{r}v[/tex]

since v/r=w then...

[tex]a_{centripetal}=\omega v[/tex]

how are they equal? [tex]\omega v=\omega^2r[/tex]

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# Centripetal/angular acceleration

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