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Central force

  1. Jan 18, 2016 #1
    1. The problem statement, all variables and given/known data
    A motorised model plane is attached to a light string anchored to a ceiling. The plane follows a circular path of radius 0∙35 m as shown in Figure 2.
    upload_2016-1-18_15-48-44.png
    The plane has a mass of 0∙20 kg and moves with a constant angular velocity of 6∙0 rad s−1 .

    (a) Calculate the central force acting on the plane.
    (b) Calculate the angle θ of the string to the vertical.

    2. Relevant equations

    Fc = mrω2

    3. The attempt at a solution
    a)Fc = mrω2
    0.2 x 0.35 x 6.02
    = 2.52N

    b) tanθ = Fc/Fw
    tanθ = 2.52/(0.2x9.8)
    θ = tan-1(2.52/0.2x9.8)
    θ = 52°
     

    Attached Files:

  2. jcsd
  3. Jan 18, 2016 #2

    TSny

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    Homework Helper
    Gold Member

    Looks good.
     
  4. Jan 18, 2016 #3
    Thanks! :)
     
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