Physical units in fluid dynamics

Classical Mechanics Level 1

In fluid dynamics, the drag equation is a formula used to calculate the force of drag experienced by an object due to movement through a fully enclosing fluid

\[F_D=\frac{1}{2} C_D ρv^2 A\] where

  • \(F_D\) is the drag force, which is by definition the force component in the direction of the flow velocity,
  • \(ρ\) is the density of the fluid,
  • \(v\) is the velocity of the object relative to the fluid,
  • \(A\) is the reference area, and
  • \(C_D\) is the drag coefficient.

What units can the quantity \((C_D )^2\) have?


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