For a sphere falling at terminal velocity in the Stokes’ law range, the drag coefficient C D is given by
- A24Re
- B64/Re
- C24/ReCorrect
- D24 (1 + 3/16Re)/Re
Solution
Concept
Drag coefficient in Stokes range
Formula
CD = 24/Re
Step-by-step solution
1. Drag F = 3πμDV; CD = F/(½ρV²πD²/4) = 24/Re.
Explanation
For Re < 1 the drag coefficient is 24/Re.
Why the other options are wrong
64/Re is for laminar pipe friction.
Shortcut
Sphere CD = 24/Re.
Correct answer: C) 24/Re