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I Involute Equation

  1. Jul 23, 2016 #1
    Does this involute equation is correct?

    involute.png
     
  2. jcsd
  3. Jul 23, 2016 #2

    QuantumQuest

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    It is the parametric equation of the involute of a circle in Cartesian coordinates.
     
  4. Jul 24, 2016 #3
    Um, I don't know :confused:. What do you think it is?
     
  5. Jul 24, 2016 #4

    QuantumQuest

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  6. Jul 24, 2016 #5

    rcgldr

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    Wiki article:

    http://en.wikipedia.org/wiki/Involute#Involute_of_a_circle

    This is also the path of an object connected to a string that wraps or unwraps around a circular post. The string would be the black line in the wiki animation. The string is always perpendicular to the instantaneous path of the object, and always tangent to the circular post.
     
  7. Jul 25, 2016 #6
    So, does this involute equation is correct?
     
  8. Aug 1, 2016 #7
    Why no one can answer my question?
     
  9. Aug 1, 2016 #8

    micromass

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    We did answer your question.
     
  10. Aug 1, 2016 #9
    Is the " t " in degree or radian?
     
  11. Aug 1, 2016 #10

    micromass

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    Radian
     
  12. Aug 1, 2016 #11
    OK, now let me work for the equation.

    x = r(cos t + t sin t)
    y = r(sin t - t cos t)

    I start with t = 0 rad and r = 1, then

    x = 1(cos 0 + 0 sin 0)
    = 1(cos 0)
    =1(1)
    = 1

    y = 1(sin 0 - 0 cos 0)
    = 1(sin 0)
    = 0

    Is it correct?
     
  13. Aug 1, 2016 #12

    micromass

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