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Gyroscopic Precession (Relationship with ωspin and ωprecession)

  1. May 2, 2013 #1
    1. The problem statement, all variables and given/known data

    I am trying to find the relationship between the rate of precession(ωprecession) and the angular velocity of the wheel(ωspin). Here is a video that explains the problem well:
    http://www.youtube.com/watch?v=ty9QSiVC2g0

    2. Relevant equations

    $$L = r X P = Iω$$
    $$\tau = r X F$$

    3. The attempt at a solution

    http://demoweb.physics.ucla.edu/node/29
    http://scienceworld.wolfram.com/physics/GyroscopicPrecession.html

    So, above are the answers to my question. However, they do not do a very good job of explaining what the equations mean. The equation for ωprecession from the first link is:
    [itex]ω_{precession} = \stackrel{\tau}{I\omega_{spin}}[/itex]
    [itex]ω_{precession} = \stackrel{Mgr}{L}[/itex]

    I am trying to understand these and really do not know where to go from here. Is it really as simple as [itex]ω_{precession} = \stackrel{Mgr}{Mr_{2}^2\omega}[/itex]?

    Edit: I was doing some more thinking and in the above equation where I replaced Iw with Mr^2w. The r2 on the bottom is the radius of the wheel while r is the radius of the horizontal "rod".
     
    Last edited: May 2, 2013
  2. jcsd
  3. May 2, 2013 #2

    haruspex

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    Yes, that looks right (after changing \stackrel to \frac).
     
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