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Uniform Circular Motion for particle of mass

  1. Sep 6, 2009 #1
    1. The problem statement, all variables and given/known data

    A particle of mass m=1kg moves counterclockwise in a horizontal circle of radius r=1m with uniform speed of 1 m/s. Determine the velocity, acceleration, total force and the component of the the total force on the particle in direction of its velocity as a function of the angle.

    2. Relevant equations

    a = v*v / r

    3. The attempt at a solution

    Velocity = - 1 m/s
    (negative sign is to indicate the direction of the particle moving counterclockwise)

    Acceleration, a = 1

    Total force,F = 1N

    Is there anyone can help me to confirm my answer? Especially the velocity....
  2. jcsd
  3. Sep 6, 2009 #2

    Doc Al

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    Staff: Mentor

    Velocity, acceleration, and force are all vectors. You must specify their direction as a function of angle. (I would use unit vectors and some trig functions.)
  4. Sep 6, 2009 #3


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    Staff Emeritus
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    Homework Helper

    I'm not familiar with using negative values to express the counterclockwise direction, is that a convention your professor said to use? It may be that just saying "1 m/s, counterclockwise" could be sufficient.

    Your values for a and F are correct, but you are probably expected to indicate their direction as well.

    EDIT: ahh, Doc Al responded faster than I.
  5. Sep 6, 2009 #4
    Thanks for the comments! I will try again ^.^
  6. Sep 6, 2009 #5
    Shouldn't you express the velocity in terms of rad/s since the last part say express as a function of the angle? If that is the case then acceleration would have to change too?
  7. Sep 6, 2009 #6

    Doc Al

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    They are asking about linear velocity (the tangential velocity) not angular velocity.
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