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Units don't match

  1. Apr 29, 2015 #1
    In my Analytical Mechanics textbook it states that the terminal velocity of a spherical object, whilst taking the linear and quadratic terms into consideration, is

    vt=[(mg/c2)+(c1/2c2)2]1/2-c1/(2c2)

    The units don't seem to match here. Is this normal?

    This is not a homework inquiry, it for personal reviewing.
     
  2. jcsd
  3. Apr 29, 2015 #2

    phyzguy

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    Why don't they match? I think your c1 and c2 are from the expression Fdrag = c1 * v + c2 * v^2. Then the units of c1 are Mass/Time, and the units of c2 are Mass/Length. With these units, the units of c1/c2 is Length/Time, and the units of mg/c2 are Length^2/Time^2, and everything matches.
     
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