The air resistance to the motion of a vehicle is something important that engineers investigate. As you may also know, the drag force acting on a car is determined experimentally by placing the car in...

For the drag coefficient relationship given in Problem 6.24, if the units of
F_d

, V, A, and
C_d

, are expressed in N, m/s, m²
, and unitless, respectively, what are the appropriate units for
ρ?

Extracted text: The air resistance to the motion of a vehicle is something important that engineers investigate. As you may also know, the drag force acting on a car is determined experimentally by placing the car in a wind tunnel. For a given car, the experimental data is generally represented by a single coefficient that is called the drag coefficient. It is given by the relationship: C, = d where C, = drag coefficient F, = measured drag force (Ib) p = air density (slugs/ft') V = air speed inside the wind tunnel (ft/s) A = frontal area of the car (ft²) What is the appropriate unit for C, if the preceding equation is to be homogeneous in units? Show all steps of your work.