Question

A 12.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is 0.400 kg·m2, and its radius is 0.200 m. When turning, friction at the axle exerts a torque of magnitude 3.50 N·m on the reel. If the hose is pulled so that the tension in it remains a constant 30.0 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.

Name: a 120 m length of hose is wound around a reel which is initially at rest the moment of inertia of the reel is 0400 kgm2 and its radius is 0200 m when turning friction at the axle exerts a to 51955
Uploaded: 2022-04-17T02:34:48-08:00
Duration: 2 min 25 s
Channel: Khoobchandra Agrawal
Description: a 120 m length of hose is wound around a reel which is initially at rest the moment of inertia of the reel is 0400 kgm2 and its radius is 0200 m when turning friction at the axle exerts a to 51955

          A 12.0-m length of hose is wound around a reel, which is
initially at rest. The moment of inertia of the reel is 0.400
kg·m2, and its radius is 0.200 m. When turning, friction at the
axle exerts a torque of magnitude 3.50 N·m on the reel. If the hose
is pulled so that the tension in it remains a constant 30.0 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.

Added by Kenneth S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Khoobchandra Agrawal

04/17/2022

Step 1

The net torque on the reel is the difference between the torque due to the tension in the hose and the frictional torque. The torque due to the tension is given by the product of the tension and the radius of the reel, which is 30.0 N * 0.200 m = 6.00 N·m. The net Show more…

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A 12.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is 0.400 kg·m2, and its radius is 0.200 m. When turning, friction at the axle exerts a torque of magnitude 3.50 N·m on the reel. If the hose is pulled so that the tension in it remains a constant 30.0 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.