Physics

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A 13.6-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is 0.40 kg · m2, and its radius is 0.151 m. When the reel is turning, friction at the axle exerts a torque of magnitude 3.42 N · m on the reel. If the hose is pulled so that the tension in it remains a constant 23.1 N, how long does it take to completely unwind the hose from the reel? Neglect the mass of the hose, and assume that the hose unwinds without slipping.

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