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Old 5th Dec 2011, 21:19
  #179 (permalink)  
henra
 
Join Date: May 2010
Location: PLanet Earth
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Originally Posted by SAMXXV
The next immediate threat to the UK is Germany, yet again.
I don't know what exactly it is that you are smoking but may I carefully suggest to reduce the dose ?!

On a more serious note:

Re terminal velocity:
If we take a cannonball we have a Force resulting from gravity which is
m x g which gives a gravtitational Force of 4/3x Pi x r^3 x Rho (Steel) (~8.000 kg/m^3) x 9,81 m/s^2 and an opposing Force of drag being Rho (Air) (1,2kg/m^3) /2 x Cw x Pi x r^2 x v^2.
Cw for a ball between 0,2 and 0,4.

Lets assume 0,4 as a conservative number:

This yields: 660 x sqrt (r) = V term (in m/s)
Cannonball with 4 inch diameter:
=> Vterm ~ 150m/s = 335 mph.
2 inch : Vterm ~ 105m/s = 235mph.

So there is no universal terminal velocity even for a cannonball (even when neglecting Reynolds dependency of Cw which is not exactly true, for a ball Re will reduce to 1/3rd at high Reynolds numbers).
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