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A 17.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is 0.490 kg-m², and its radius is 0.150 m. When turning, friction at the axle exerts a torque of magnitude 3.20 N-m on the reel. If the hose is pulled so that the tension in it remains a constant 26.0 N, how long does it take to completely unwind the hose from the reel? Neglect the mass and the thickness of the hose, and assume that the hose unwinds without slipping.

A 17.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is 0.490 kg-m², and its radius is 0.150 m. When turning, friction at the axle exerts a torque of magnitude 3.20 N-m on the reel. If the hose is pulled so that the tension in it remains a constant 26.0 N, how long does it take to completely unwind the hose from the reel? Neglect the mass and the thickness of the hose, and assume that the hose unwinds without slipping.

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 46P: A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is...
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A 17.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is 0.490 kg-m², and its radius is 0.150 m. When turning, friction at the axle exerts a torque of magnitude 3.20 N-m on the reel. If the hose is pulled so that the tension in it remains a constant 26.0 N, how long does it take to completely unwind the hose from the reel? Neglect the mass and the thickness of the hose, and assume that the hose unwinds without slipping.
Transcribed Image Text:A 17.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is 0.490 kg-m², and its radius is 0.150 m. When turning, friction at the axle exerts a torque of magnitude 3.20 N-m on the reel. If the hose is pulled so that the tension in it remains a constant 26.0 N, how long does it take to completely unwind the hose from the reel? Neglect the mass and the thickness of the hose, and assume that the hose unwinds without slipping.
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