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Find the value of aerodynamic constant C for this dimpled sphere.

  1. Feb 27, 2013 #1
    A falling golf ball (mass 45 g, radius 20.0mm) reaches high terminal speed of 42 m/s. what is the value of the aerodynamic constant C for this dimpled sphere?

    I tried using mv^2/r -> (0.45 kg)*(42 m/s)/0.2m=94.5 but Its not correct. I dont understand what they mean by constant C.
     
  2. jcsd
  3. Feb 27, 2013 #2

    SteamKing

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    Well, the golf ball is undergoing linear motion. Your formula is for the centripetal force on an object in circular motion. What you need is a formula for terminal speed of an object which is falling.
     
  4. Feb 27, 2013 #3
    V=sqrt(2mg/pAC)
     
  5. Mar 1, 2013 #4
    if this is the right equation should the units of v=km/h and r=m?
    in other words what should the units be?
     
  6. Mar 1, 2013 #5

    haruspex

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    Anything you like as long as you are consistent. Put everything into MKS units and you should be safe.
     
  7. Mar 1, 2013 #6
    would you recomend I convert to km since p is km?
     
    Last edited: Mar 1, 2013
  8. Mar 1, 2013 #7

    haruspex

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    Isn't p (rho) the density? That would be kg/m3 in MKS.
     
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