Inputs
Units are in millimeters, meters, minutes, and kilograms unless noted.
Example Data Table
Sample values to demonstrate typical outputs.
| Roll Ø (mm) | RPM | Slip (%) | Exit thk (mm) | Width (mm) | Exit speed (m/min) | Throughput (t/hr) |
|---|---|---|---|---|---|---|
| 650 | 90 | 2.0 | 6.0 | 1200 | 187.8 | 636.1 |
| 520 | 110 | 1.5 | 3.2 | 950 | 184.1 | 261.0 |
| 400 | 140 | 3.0 | 1.8 | 700 | 181.2 | 134.5 |
Throughput in the examples assumes density 7,850 kg/m³ and uses the slip-based exit speed.
Formula Used
1) Roll surface speed
Surface speed is based on roll circumference and rotational speed:
- Circumference (m) = π × D, where D is roll diameter in meters.
- Vsurface (m/min) = Circumference × RPM
2) Exit speed methods
- Surface + Slip: Vexit ≈ Vsurface × (1 + Slip%)
- Volume Continuity: assuming width is constant and material is incompressible:
Vexit = Ventry × (hentry / hexit) - Hybrid: slip estimate adjusted by thickness ratio (when provided).
3) Throughput (requires width and exit thickness):
- Cross-section: A = (Width × Thickness) in m².
- Volumetric flow: Q = A × Vexit (m³/min).
- Mass flow: ṁ = ρ × Q (kg/min).
- Tonnes per hour: t/hr = (ṁ × 60) / 1000
How to Use This Calculator
- Enter roll diameter and RPM from your mill settings.
- Select a calculation mode that matches your available measurements.
- For quick estimates, keep Slip at 1-3% unless site data suggests otherwise.
- To estimate throughput, add strip width and exit thickness.
- Optional: enter coil length to estimate rolling time.
- Press Calculate to display results above this form.
- Use Download CSV or Download PDF to archive results.