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Tangential and Radial Acceleration

  1. Apr 28, 2012 #1
    1. The problem statement, all variables and given/known data
    A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700m/s in 1.75s. (a) At
    t = 1.25s, find the magnitude and direction of the radial acceleration, (b) the tangential acceleration, and(c) the total acceleration of the point.

    2. Relevant equations
    [tex]a_t=\frac{v_f-v_i}{t}[/tex]
    [tex]a_c=v^2/r[/tex]

    3. The attempt at a solution
    [tex]a_t=0.4m/s^2, t=1.25s→a_c=1.25m/s^2[/tex]
    I don't know how to find the total accelleration, are the components of the vector [tex]a^→=(a_c, a_t)=(1.25, 0.5)m/s^2[/tex]??
     
  2. jcsd
  3. Apr 28, 2012 #2

    Doc Al

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    Staff: Mentor

    Yes. Those are the components of the acceleration. What's the magnitude of that vector?
     
  4. Apr 28, 2012 #3
    the magnitude of the vector is:
    [tex]sqrt((a_c)^2+(a_t)^2)=sqrt((1.25^2+0.4^2))=1.31m/s^2[/tex]
    and the angle should be [tex]arctan(a_t/a_c)=arctan(0.4/1.25)=17.7°[/tex].
     
  5. Apr 28, 2012 #4

    Doc Al

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    Staff: Mentor

    Good. (And you caught your typo in your last equation.)

    When you give the angle, be sure to specify with respect to what. A diagram helps.
     
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