You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I=3.88 kg⋅m2 as shown. The magnitude of the tension force of you on the pulley is 348.8 N. A backpack of mass 33.9 kg is attached to the pulley's inner radius as shown. If the inner radius of the pulley is 0.43 m and the outer radius is 0.7 m, what is the magnitude of the linear acceleration of the backpack?

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