Ok! Let's say you have a sphere with radius 5 cm moving through air at 50 m/s. The air density is 1.225 kg/m3 and the drag coefficient for a sphere is 0.47.

So we plug in the values:
ρ = 1.225 kg/m3
v = 50 m/s
A = pi * (0.05 m)2 = 0.0078 m2
C_d = 0.47

Calculating the drag force:
F_drag = 1/2 * (1.225 kg/m3) * (50 m/s)2 * (0.0078 m2) * 0.47
           = 196 N

So in this case, the air resistance force on the sphere is 196 Newtons. You can see how air resistance force increases rapidly with velocity (as v2).
spam fails_task lang_mismatch pii not_appropriate hate_speech sexual_content quality toxicity humor helpfulness creativity violence