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a bucket filled with water has a weight of 150 N and is attached to a rope that is woud around a pully (solid disc) with a 0.5m radius and a mass of 15kg. I fthe bucket is allowed to fall, what will the angular acceleration of the pulley ?

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usmanbiu

Answer:

20 rad/s^{2}

Explanation:

weight / force (F) = 150 N

radius (r) = 0.5 m

mass (m) = 15 kg

angular acceleration = tangential acceleration / radius

where

  • tangential acceleration = force/ mass = 150/15 = 10 m/s^{2}
  • substituting the above into the equation for angular acceleration we have

angular acceleration =  10 / 0.5 = [tex]20 rad/s^{2}[/tex]

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