Examples
Examples
Try the starting example
- Supplied one-plane candidate slots: ID, angle degrees, radius mm
- P0,0,100 P90,90,100 P180,180,100 P270,270,100
- Measured imbalance x component (g-mm)
- 1000
- Measured imbalance y component (g-mm)
- 0
- Mass of each supplied discrete correction piece (g)
- 5
- Maximum total pieces in model
- 2
- Piece counts in enumerated cancellation candidate
- P0: 0; P90: 0; P180: 2; P270: 0
- Initial measured imbalance magnitude (g-mm)
- 1000
- Residual magnitude in stated one-plane model (g-mm)
- 0
- Residual x and y components (g-mm)
- 0, 0
- Total modeled added mass (g)
- 10
Try another scenario
- Supplied one-plane candidate slots: ID, angle degrees, radius mm
- P0,0,100 P90,90,100 P180,180,100 P270,270,100
- Measured imbalance x component (g-mm)
- 1000
- Measured imbalance y component (g-mm)
- 0
- Mass of each supplied discrete correction piece (g)
- 5
- Maximum total pieces in model
- 1
- Piece counts in enumerated cancellation candidate
- P0: 0; P90: 0; P180: 1; P270: 0
- Initial measured imbalance magnitude (g-mm)
- 1000
- Residual magnitude in stated one-plane model (g-mm)
- 500
- Residual x and y components (g-mm)
- 500, 0
- Total modeled added mass (g)
- 5
Calculation method
Calculation method
Piece counts in enumerated cancellation candidate
Enumerate all slot piece-count compositions up to supplied piece cap; minimize numerical residual magnitude, then piece count, input-order ties within floating tolerance.
Initial measured imbalance magnitude (g-mm)
hypot(measured x,measured y).
Residual magnitude in stated one-plane model (g-mm)
hypot(x+sum(mass×radius×cos angle),y+sum(mass×radius×sin angle)).
Residual x and y components (g-mm)
Signed residual vector, retaining nonzero imbalance rather than calling it balanced.
Total modeled added mass (g)
Piece count×supplied mass per piece.
Symbols and units
- a
- Supplied one-plane candidate slots: ID, angle degrees, radius mm
- b
- Measured imbalance x component (g-mm)
- c
- Measured imbalance y component (g-mm)
- d
- Mass of each supplied discrete correction piece (g)
- e
- Maximum total pieces in model
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
sum(list) adds all entries in the list.
Assumptions & limits
Assumptions & limits
- A bounded hypothetical one-plane vector-cancellation enumeration, not a wheel-balancing procedure, two-plane dynamic balance, placement approval or riding-safety certification. Slots, measured vector and compatible weights are external inputs.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
OpenStax: ratios, unit rates and supplied measurement arithmetic ↗
Background reading; this does not imply endorsement or independent review of SumFizz.