Calculating Angular Acceleration of a Rolling Drum on a Slope

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The discussion focuses on calculating the angular acceleration of a rolling drum on a slope. It establishes the relationship between linear acceleration (a) and angular acceleration (α) using the formulas v = Rω and a = Rα. The conclusion reached is that angular acceleration can be expressed as α = a/R. The thread also references a previous discussion on the same topic for further clarification. This confirms the straightforward nature of the calculation involved in determining angular acceleration for a rolling object.
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A drum of radius R rolls down a slope without slipping. Its axis has acceleration a parallel to the slope. What is the drum's angular acceleration \alpha?

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