physics

A 15.5-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is 0.42 kg · m2, and its radius is 0.170 m. When the reel is turning, friction at the axle exerts a torque of magnitude 3.63 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.

  1. 0
  2. 0
  3. 95
asked by valem
  1. The applied torque minus the frictional torque is (23.1)(0.170)-3.63 = 0.28 N-m

    Torque divided by moment of inertia is the angular acceleration, alpha. Its units are radians/s^2. Calculate it

    To unreel all of the hose, you need to turn the reel through 15.5/0.17 = 91.1 radians.

    Solve this equation for the required time, t:

    91.1 radians = (1/2)*(alpha)*t^2

    1. 0
    2. 0
    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. PHYSICS

    A 15 M LENGTH OF HOSE IS WOUND AROUND A REEL WHICH IS INITIALLY AT REST. THE MOMENT OF INERTIA OF THE REEL OF 0.44KGM^2 AND ITS RADIUS IS 0.160M. WHEN THE REEL IS TURNING FRICTION AT THE AXLE EXERTS A TORQUE OF MAGNITUDE 3.40NM ON

    asked by kassy on November 9, 2016
  2. Physics

    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

    asked by Elizabeth on November 15, 2012
  3. Physics

    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

    asked by Elizabeth on November 16, 2012
  4. physics

    A reel has radius R and moment of inertia I. The reel is positioned at the top of a slope and a block is also on the slope with some angle theta. One end of the block of mass m is connected to a spring of force constant k, and the

    asked by mightymouse on March 31, 2009
  5. Physics

    A cylindrical 7.00-kg reel with a radius of 0.60 m and a frictionless axle, starts from rest and speeds up uniformly as a 3.00-kg bucket falls into a well, making a light rope unwind from the reel (Fig. P8.36). The bucket starts

    asked by Julia on April 11, 2012
  6. Math

    A diver is working 10 feet below the surface of the water. The gap between the water and the deck of his support barge is 1/8 of the total length of the air hose and 2/3 of the total length remains on the reel. What is is maximum

    asked by Adam on September 14, 2012
  7. Math

    A diver is working 10 feet below the surface of the water. The gap between the water and the deck of his support barge is 1/8 of the total length of air hose, and 2/3 of the total length remains on the reel. What is his maximum

    asked by Din on December 11, 2009
  8. maths

    At the local fire station they have different lengths of fire hose. the shortest is half the length of the middle-sized one, and one fifth of the length of the longest one. if i connect the three different hose lengths together i

    asked by montana on August 4, 2010
  9. Math

    Find the volume of water required to fill a pool with a diameter of 6m and a height of 2m. Keep in mind that the water must travel through a hose before it goes into the pool. Assume the hose is a perfect cylinder. The length of

    asked by Travis on December 14, 2015
  10. math

    Initially a pool contains 350 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 4.8 gallons of water per minute. Write an equation that shows the relationship between the total amount of

    asked by jeng on November 15, 2009

More Similar Questions