42. M V-HINT A 15.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is o.44 kg · m², and its radius is o.160 m. When the reel is turning, friction at the axle exerts a torque of magnitude 3.40 N · m on the reel. If the hose is pulled so that the tension in it remains a constant 25.0 N, how long does it take to completely unwind the hose from the reel? Neglect the mass and thickness of the hose on the reel, and assume that the hose unwinds without slipping.
42. M V-HINT A 15.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is o.44 kg · m², and its radius is o.160 m. When the reel is turning, friction at the axle exerts a torque of magnitude 3.40 N · m on the reel. If the hose is pulled so that the tension in it remains a constant 25.0 N, how long does it take to completely unwind the hose from the reel? Neglect the mass and thickness of the hose on the reel, and assume that the hose unwinds without slipping.
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotation Of A Rigid Object About A Fixed Axis
Section: Chapter Questions
Problem 10.7OQ: As shown in Figure OQ10.7, a cord is wrapped onto a cylindrical reel mounted on a fixed, friction...
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Transcribed Image Text:**Problem 42.**
A 15.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is 0.44 kg·m², and its radius is 0.160 m. When the reel is turning, friction at the axle exerts a torque of magnitude 3.40 N·m on the reel. If the hose is pulled so that the tension in it remains a constant 25.0 N, how long does it take to completely unwind the hose from the reel? Neglect the mass and thickness of the hose on the reel, and assume that the hose unwinds without slipping.
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