Question

For the particle settling/separation system described under the given operating conditions, the cut size of the separation is ______ \(\mu\)m (rounded off to nearest integer).

Hint:

Balance the separating force against the drag force on a particle to find the diameter at which they are equal, which defines the cut size.

Answer 1

Correct Answer: 400

Re-solving the force balance using the equivalent terminal-velocity formulation confirms the same cut size of approximately 400 micrometers.

\[ \boxed{400\ \mu\text{m}} \]