Free Engineering Tool

Permissible Residual Unbalance Calculator

Calculate the maximum allowable residual unbalance for any rotor per ISO 21940-11. Enter mass, speed, and balance quality grade.

ISO 21940-11 ISO 1940-1 G0.4 – G4000
Quick presets

Results

Total Permissible Unbalance
Specific Unbalance (eccentricity)
Per-Plane Unbalance
Angular Velocity ω
Balance Grade

Permissible Specific Unbalance

Per ISO 21940-11, the permissible specific unbalance (eccentricity) is:

  • G — balance quality grade (mm/s)
  • n — service speed (RPM)
  • ω — angular velocity (rad/s)

Total Permissible Residual Unbalance

Where m is rotor mass in kg. Result Uper is in g·mm when eper is in μm and m in kg.

Balance Quality Grades

Gradee·ω (mm/s)Typical Application
G0.40.4Gyroscopes, spindles
G1.01.0Grinding machine drives
G2.52.5Gas/steam turbines, turbochargers
G6.36.3Fans, pumps, motors, general machinery
G1616Agricultural machinery, automobile wheels
G4040Car wheels, rims
G100100Complete reciprocating engines
G250250Four-stroke engines on rigid mounts
G630630Crankshaft drives (fast diesels)
G16001600Slow diesels on rigid mounts
G40004000Crankshaft drives (large diesels)

Practical Example

Example — Centrifugal Fan Rotor

Given: Rotor mass = 120 kg, Speed = 1500 RPM, Grade = G6.3

ω = 2π × 1500 / 60 = 157.08 rad/s

eper = 6.3 × 1000 / 157.08 = 40.11 μm

Uper = 40.11 × 120 = 4,813 g·mm

Per-plane (2 planes, 50/50): 4,813 / 2 = 2,407 g·mm

⚠️ Note: For disc-like rotors, 50/50 split between planes is acceptable when CG is centered. For long rotors, use the lever rule based on actual CG position relative to correction planes.

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