Calculating Angular Acceleration of a Rolling Drum on a Slope

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A drum of radius [tex]R[/tex] rolls down a slope without slipping. Its axis has acceleration [tex]a[/tex] parallel to the slope. What is the drum's angular acceleration [tex]\alpha[/tex]?

So [tex]v = R \omega[/tex] and [tex]a = R \alpha[/tex].So is it just [tex]\alpha = \frac{a}{R}[/tex]?
 
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