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A pulley, with a rotational inertia of 4.6 × 10^-3 kg m² about its axle and a radius of 7.0 cm, is acted on by a force applied tangentially at its rim. The force magnitude varies in time as F = 0.34t + 0.27t², where F is in newtons if t is given in seconds. The pulley is initially at rest. At t = 3.1s what is its angular acceleration?

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