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Putting rotating cylinder on the ground

  1. Jan 28, 2017 #1
    1. The problem statement, all variables and given/known data
    We put a cyllinder with unknown mass and radius 0.1m which rotates with angular velocity 10 /s around its geometric axis on the horizontal ground. After what time does the cyllinder roll without slipping? Coefficient of friction is 0.1.

    2. Relevant equations
    F=ma
    M=J ⋅ ∝

    3. The attempt at a solution
    J- moment of inertia, k-coefficient of friction ... a* - acceleration of center of mass

    image.jpg

    image.jpg
    The result should be 2.09 s. Please correct me!
     
  2. jcsd
  3. Jan 28, 2017 #2

    PeroK

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    Are you sure you've stated the problem correctly? Your answer looks right to me.
     
  4. Jan 28, 2017 #3
    I have just realised that everything is OK except the value for angular frequency. The given frequency is not the angular (which I thought) but the usual frequency (number of turns per second)
     
  5. Jan 28, 2017 #4

    PeroK

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    Of course!
     
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