The critical speed of a ball mill is calculated using the formula:
Nc = 42.3 / √(D-d)
Where:
– Nc = Critical speed (RPM)
– D = Mill internal diameter (meters)
– d = Ball diameter (meters)
This equation ensures grinding media cascade effectively, balancing impact and attrition forces. Exceeding Nc causes centrifugal motion, while operating below 65-75% of Nc optimizes grinding efficiency.

A modern sand-aggregate production line typically includes:

1. Primary Jaw Crusher (e.g., PE600×900, 75kW motor)
2. Secondary Cone Crusher (e.g., HPT300, 220kW)
3. Tertiary Impact Crusher (VSI1140, 250kW)
4. Ball Mill for Fine Grinding (Φ3.2×13m, 1600kW)
| Equipment | Capacity (t/h) | Power (kW) | Feed Size (mm) | Output Size (mm) |
|———–|—————|————|—————-|——————|
| PE600×900 | 50-180 | 75 | ≤480 | 60-150 |
| VSI1140 | 120-200 | 250 | ≤50 | 0-5 |
Q1: Why does mill speed affect grinding efficiency?
A: Optimal rotation creates cascading motion for effective size reduction without excessive wear.
Q2: How to choose between VSI and HSI crushers?
A: VSI offers better cubical aggregates (>95% cube ratio), while HSI handles harder materials better.
Project: Granite aggregate plant in Vietnam
Solution: Configured with primary jaw crusher + hydraulic cone crusher + VSI + air classifier system, achieving:
– Production: 200t/h finished sand
– Grain shape: ≤0.075mm content <15%
– Equipment lifespan extended by 30% through optimized critical speed control in grinding stage.