Conveyor Belt Speed and Capacity Calculator
Belt speed from drum diameter, motor rpm and gear ratio. Tonnes per hour from load cross-section and density, pieces per hour from spacing, and the speed for a target.
How is belt speed calculated?
A belt moves at the peripheral speed of its drive drum: v = π × D × n_t / 60, with drum diameter D in metres and drum speed n_t in rpm. Drum speed is motor speed divided by the total reduction ratio: n_t = n / i.
With a 400 mm drum, a 1450 rpm motor and a 25 to 1 gearbox, the drum turns at 58 rpm and the belt runs at π × 0.4 × 58 / 60 = 1.21 m/s.
Capacity for bulk material
The volume a belt moves per unit time is the load cross-section times speed: Q_v = A × v. Multiply by bulk density for mass capacity: Q_m = ρ × A × v. In practical units, with area in m², speed in m/s and density in t/m³, Q = 3600 × A × v × ρ gives tonnes per hour.
A cross-section of 0.02 m², a speed of 1.5 m/s and a bulk density of 1600 kg/m³ give 108 m³/h, or 172.8 t/h.
Capacity for unit loads
On a belt carrying cartons, crates or workpieces, throughput is speed divided by spacing: N = v / a. At 0.5 m/s with 800 mm spacing, 2250 items pass per hour.
Limits
The cross-section area is an input here. On a troughed belt it depends on belt width, idler angle and the surcharge angle of the material, and comes from the tables of a standard or from manufacturer data. Capacity falls on inclined belts. The upper limit of belt speed depends on material, belt width and dusting, and this tool does not suggest one.
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Found a mistake or something missing?
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