Free tool

Surface speed & RPM calculator

Calculate RPM from web speed and diameter, or surface speed from RPM – at the winder for the core and the full roll.

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Result

RPM at Ø 90 mm (core)
707 min⁻¹
RPM at Ø 600 mm (full roll)
106 min⁻¹
Web speed
3.33 m/s

How it is calculated

How do you calculate surface speed?

Surface speed in m/min = π × diameter in m × RPM. Example: a 90 mm core at 500 RPM = π × 0.09 × 500 = about 141 m/min.

How do you calculate RPM from surface speed?

RPM = surface speed ÷ (π × diameter). At 200 m/min a 90 mm core turns at about 707 RPM, a full 600 mm roll at only about 106 RPM.

Why does the RPM change at a winder?

The web runs at a constant speed while the roll diameter grows, so the drive has to keep lowering the RPM – from the core to the full roll.

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