Demonstrate that the drag force equation, F_{D} =\frac{1}{2}C_{D}\rho \nu ^{2} A (see Chapter 10) is dimensionally homogenous, assuming (a) the BG system of units (FLT). (b) the SI system of units (MLT).
Question 1.3: Demonstrate that the drag force equation, FD=1/2CDΡν (see Ch...
(a) F_{D} =\frac{1}{2}C_{D}\rho \nu ^{2} A
[F]=[][][FL^{-4} T^{2} ][L^{2} T^{-2} ][L^{2}]
[F]=[F]
(b) F_{D} =\frac{1}{2}C_{D}\rho \nu ^{2} A
[MLT^{-2} ]=[][][ML^{-3}][L^{2} T^{-2} ][L^{2}]
[MLT^{-2} ]=[MLT^{-2} ]
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