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Finding volumes of revolution using centroids

  1. Mar 27, 2009 #1
    In my Cal II, we're discussing finding volumes of revolution using centroids, which we find using moments of x or y. Can someone explain to me what a moment is?
     
  2. jcsd
  3. Mar 27, 2009 #2
    Re: Moments

    If you think of a function f(x) defined over the interval from a to b, then the moment of this function with respect to the origin is

    M = int( x*f(x) dx) from a to b
     
  4. Mar 29, 2009 #3
    Re: Moments

    No, thanks though, I know how to solve for a moment over an interval, I'd like know what a moment actually is.
     
  5. Mar 29, 2009 #4
    Re: Moments

    A moment is just that quantity. If you know the definition, then you know what a moment is.

    It has a physical interpretation also, but that is not likely be be a part of a calc class. If f(x) represents a force per unit length, then the moment represents the tendency of that force distribution to cause a rotation about the reference point.
     
  6. Mar 29, 2009 #5
    Re: Moments

    Moment is essentially a vector quantity that tells you about an objects ability to rotate about a point by some given force at some given distance. If you know what a torque is they're pretty much the same.
     
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