Conveyor Belt Speed and Throughput Calculator
Calculate conveyor belt speed, volumetric throughput, and mass flow rate based on belt width, load cross-section, and operating parameters.
Typical range: 0.3 – 2.4 m
Typical range: 0.5 – 5 m/s
Angle of repose of material on belt (0°–35°)
Idler trough angle: 0° (flat), 20°, 35°, or 45°
e.g. sand ≈ 1500, coal ≈ 800, gravel ≈ 1700 kg/m³
Horizontal distance from head to tail pulley
Typical motor-drive efficiency: 85–95%
Formulas Used
Effective load width: b = 0.9 × B − 0.05 (m) [CEMA edge clearance]
Trough cross-section area: At = (b² / 6) × sin(2λ)
Surcharge cross-section area: As = (b² / 4) × tan(δ)
Total load area: A = At + As
Volumetric throughput: Qv = A × v (m³/s)
Mass throughput: Qm = Qv × ρ (kg/s) → t/h = Qm × 3.6
Belt travel time: t = L / v (s)
Drive power (horizontal, simplified CEMA): P = (Qm × Cf × L × g) / η (W), where Cf = 0.022
Where: B = belt width (m), v = belt speed (m/s), λ = trough angle (°), δ = surcharge angle (°), ρ = bulk density (kg/m³), L = conveyor length (m), η = drive efficiency (fraction)
Assumptions & References
- Three equal-length idler roll configuration assumed (standard CEMA troughed belt).
- Edge clearance applied as per CEMA 7th Edition: b = 0.9B − 0.05 m.
- Cross-sectional area formula follows ISO 5048:1989 and CEMA Belt Conveyors for Bulk Materials (7th Ed.).
- Friction/resistance factor Cf = 0.022 is a typical value for well-maintained, horizontal conveyors; actual value depends on idler spacing, belt tension, and material.
- Power estimate covers load-carrying resistance only; does not include belt weight, incline lift, acceleration, or drive losses beyond the efficiency input.
- Formula is valid for horizontal or near-horizontal conveyors. For inclined belts, add Plift = Qm × g × H / η.
- Bulk density reference values: coal ≈ 750–900 kg/m³, sand ≈ 1400–1600 kg/m³, gravel ≈ 1600–1800 kg/m³, iron ore ≈ 2000–2500 kg/m³.
- Maximum recommended belt speeds vary by material; abrasive materials typically limited to 1.5–2.5 m/s.