General rotating-force arithmetic · no grade selection
Documented Residual-Unbalance Force Worksheet
Calculate the specific unbalance and ideal one-vector rotating-force amplitude from a residual-unbalance magnitude already established by a controlled balancing specification or measurement record.
General mechanics outputs
One documented unbalance vector
USI = Ug·mm × 10−6 kg-m
F = USI ω²
e = USI / m
n is rotational speed in revolutions per minute; U is the magnitude of one residual-unbalance vector; m is the represented rigid assembly mass; F is ideal rotating-force amplitude in newtons; and e is specific unbalance/eccentricity. The worksheet displays e in micrometres for metric input or mil (0.001 in) for US input.
OpenStax University Physics gives the circular-motion relation F = mrω². Because unbalance U is the product mr, substitution gives F = Uω². This is general mechanics, not an ISO tolerance equation.
The US route uses exact NIST factors: 1 oz = 0.028349523125 kg, 1 lb = 0.45359237 kg and 1 in = 0.0254 m. Thus 1 oz·in = 720.0779 g·mm exactly at the represented digits.
| Former output/input | Confirmed problem |
|---|---|
| Propeller diameter | It was collected and saved but never used by any formula. |
| G40/G16/G6.3/G2.5 marine presets | Grades were assigned to workboats,cargo/navy/passenger/submarine applications without a verified current ISO table or project/OEM/classification-society basis. |
| Permissible ISO unbalance | The page selected a grade and returned acceptance without implementing the rigid-behaviour decision,correction-plane count,allocation or balancing-error procedure in ISO21940-11. |
| Per-blade allowance U/N | Residual unbalance is a vector with magnitude,angle and plane. Scalar division by blade count does not define correction mass,radius,phase or plane and is not a generic balancing tolerance. |
| In-situ compliance claim | A scalar calculator cannot establish ISO compliance or authorize attaching trial/correction masses to a marine propeller. Equipment access,hydrodynamic state,correction method and approvals are project-specific. |
The replacement accepts a controlled U value and performs only general mechanics. It makes no claim that U is permissible.
ISO 21940-11
The official ISO 21940-11:2016 page identifies Edition1 as current but under systematic review, with Amendment1:2022. Its scope covers procedures and unbalance tolerances for rotors with rigid behaviour, including permissible residual-unbalance magnitude, necessary correction-plane count, allocation to tolerance planes and balancing-process errors. It excludes flexible-behaviour rotors, which are handled by ISO21940-12.
Those procedure,grade/application and allocation details are licensed and are not inferred here. A project specification,OEM,class rule or authorized calculation must establish the applicable balance requirement and whether the assembly behaves rigidly at balancing/service speeds.
Propeller manufacturing standards are separate
ISO 484-1:2015 covers manufacturing tolerances for ship screw propellers greater than2.50m and is marked to be revised; ISO 484-2:2015 covers0.80m to2.50m inclusive and is current but expected to be replaced. Their closed tolerance content is not copied or treated as a G-grade table.
Published mechanics check
OpenStax University Physics, Section6.3 publishes an example with900kg,25m/s and500m radius giving1125N. Representing mr as U=450000kg·m and ω=v/r=0.05rad/s (n≈0.477464829r/min), this worksheet independently reproduces1125N. This validates the mechanics transformation only; it is not a rotor tolerance example.
ISO lifecycle and sources accessed13 July2026. No closed grade/application table,clause value or permissible residual unbalance is asserted.