# Does the drag force equation hold for an air speed of 475 m/s?

I'd like to calculate the force of drag on a small plate when high speed air is coming into contact with it. I understand the force of drag equation is:

$$F = {1\over2}\rho v^2C_dA$$

for $\rho$ = density of air, $v$ = velocity, $C_d$ = drag coefficient, and $A$ = area

However, I have a concern:

When air speed is $475$ m/s, does compressibility of air become an issue when calculating drag?