Brush peripheral speed

The nominal peripheral speed of the filament at the outside diameter, from the roller speed. Local calculation with an explicit formula.

Diameter over the filament of the new roller.

The speed of the brush roller itself.

Enter the diameter and speed — the result will appear here.

Formula

v = π · D · n, where D is in metres and n in revolutions per second; the result v is in metres per second.

  • D — brush outside diameter, mm → m
  • n — roller speed, rpm → rps
  • v — peripheral speed, m/s and m/min

Input is in millimetres and rpm; the formula uses metres and revolutions per second — conversion is automatic.

Example

D = 150 mm, n = 1450 rpm → v = π · 0.15 · 24.167 ≈ 11.39 m/s ≈ 683 m/min.

Limits

  • The calculation is nominal: it ignores pressing force, filament wear and actual slip.
  • Whether the speed suits the application is a question of technology and the manufacturer, not of this calculation.
  • Diameter decreases with wear — at the same speed n the peripheral speed falls.
Caveat:A kinematic estimate with an explicit formula. Not a recommendation of regimes or an allowed cleaning speed.