Answer
Since all parts of the chain are linked together, the linear acceleration $a$ is the same for all parts of the chain.
However, the angular acceleration is not the same for all parts of the chain. Note that the angular acceleration $\alpha$ is equal to $\frac{a}{r}$, where $r$ is the radius of the circle. Therefore, if part of the chain accelerates around the larger sprocket, its angular acceleration is less than the part of the chain that accelerates around the smaller sprocket.
Work Step by Step
Since all parts of the chain are linked together, the linear acceleration $a$ is the same for all parts of the chain.
However, the angular acceleration is not the same for all parts of the chain. Note that the angular acceleration $\alpha$ is equal to $\frac{a}{r}$, where $r$ is the radius of the circle. Therefore, if part of the chain accelerates around the larger sprocket, its angular acceleration is less than the part of the chain that accelerates around the smaller sprocket.
