Wheel Diameter Push Effort Reduction Factor Calculator

Declared rolling moment model with independently measured length coefficient and separate bearing drag; larger wheels do not reduce all force proportionally. Caller independently establishes matching units, evidence, method edition and applicability; output is not compliance, diagnosis, work-safety approval, geological identity or validated hazard prediction.

Description

Rolling resistance can be modeled using a resistance length divided by wheel radius.

Rolling resistance can be modeled using a resistance length divided by wheel radius.1

Increasing wheel diameter changes that component while the supplied bearing drag remains a separate contribution. Use this tool to calculate wheel Diameter Push Effort Reduction Factor from the supplied measurements and assumptions.

When to use Wheel Diameter Push Effort Reduction Factor Calculator

Use this tool to calculate wheel Diameter Push Effort Reduction Factor from the supplied measurements and assumptions. Establish the observation protocol, units, task and reference population or review criterion before entering measurements.

How to use Wheel Diameter Push Effort Reduction Factor Calculator and understand its results

  1. Establish the observation protocol, units, task and reference population or review criterion before entering measurements.
  2. Enter originalWheelDiameterMm, newWheelDiameterMm, independentRollingResistanceLengthMm, supportedNormalLoadN, independentBearingDragN, using the field meanings and rules below, then run the tool.
  3. Read originalModeledPushN, newModeledPushN, modeledPushReductionFraction. Interpret the fields using their units, signs and evidence conventions below.
  4. If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
Input fieldMeaningValue typeRequirement
originalWheelDiameterMmOriginal wheel diameter mmnumberRequired
newWheelDiameterMmNew wheel diameter mmnumberRequired
independentRollingResistanceLengthMmIndependent rolling resistance length mmnumberRequired
supportedNormalLoadNSupported normal load nnumberRequired
independentBearingDragNIndependent bearing drag nnumberRequired

Enter positive original and new wheel diameters in mm, and nonnegative resistance length in mm, normal load in N and bearing drag in N. Each modeled force is 2×resistanceLength×normalLoad/diameter+drag. Original force must be positive; report both forces and (original−new)/original. A smaller replacement wheel can yield a negative reduction fraction.

pushN=2×resistanceLengthMm×normalLoadN/diameterMm+bearingDragN; reduction=(old−new)/old

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
originalModeledPushNOriginal Modeled Push N; follow the units, sign, ordering and evidence convention stated abovenumber
newModeledPushNNew Modeled Push N; follow the units, sign, ordering and evidence convention stated abovenumber
modeledPushReductionFractionModeled Push Reduction Fraction; follow the units, sign, ordering and evidence convention stated abovenumber
json
{
  "input": {
    "originalWheelDiameterMm": 100,
    "newWheelDiameterMm": 200,
    "independentRollingResistanceLengthMm": 2,
    "supportedNormalLoadN": 1000,
    "independentBearingDragN": 10
  },
  "output": {
    "originalModeledPushN": 50,
    "newModeledPushN": 30,
    "modeledPushReductionFraction": 0.4
  }
}

Limitations and assumptions

Increasing wheel diameter changes that component while the supplied bearing drag remains a separate contribution. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use Cart Push Force Start vs Sustained Ratio Checker for this related task: Starting and sustained cart forces describe different phases of movement.

Use Carrying Load Percent Body Weight Limit Checker when its separate inputs and assumptions fit the question: Carried load as a percentage of body mass is a simple normalization.

References

  1. Wheel Diameter Push Effort Reduction Factor Calculator — tool.io

Similar or alternative tools

Don't forget to set a bookmark for tool.io!
Privacy | Imprint | Cookies