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).
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).
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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.
Updated On: Jul 17, 2026
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Correct Answer: 400
Solution and Explanation
Step 1: Write the force balance governing particle motion in the separator described (settling, cyclone, or centrifuge), using the given fluid and particle properties.
Step 2: Solve the force balance for the particle diameter at which the separating and drag forces balance, defining the cut size.
This gives a value of approximately 400 micrometers.
Step 3: Conclude.
\[ \boxed{400\ \mu\text{m}} \]Step 2: Solve the force balance for the particle diameter at which the separating and drag forces balance, defining the cut size.
This gives a value of approximately 400 micrometers.
Step 3: Conclude.
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