Floor Slope Ramp Rolling Resistance Increase Calculator
Model signed steady ramp travel force as gravity plus caller rolling resistance, retaining downhill coasting/braking sign; not generic grade conversion, start force, traction or ramp-safety approval.
Description
Steady ramp force combines signed gravity along travel with rolling resistance.
Steady ramp force combines signed gravity along travel with rolling resistance. A negative result indicates coasting or braking in this model.1
Enter nonnegative mass/rolling coefficient, positive gravity and finite slope strictly inside−90…90 degrees. Return gravity component, resistance magnitude, signed total and strict-negative flag.
When to use Floor Slope Ramp Rolling Resistance Increase Calculator
Use Floor Slope Ramp Rolling Resistance Increase Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. Start force, acceleration, traction and ramp safety are excluded.
Prepare measured task, body, furniture or already weighted exposure records. Supply independently verified caller policies, tables and comparison limits with matching units and conditions.
How to use Floor Slope Ramp Rolling Resistance Increase Calculator and understand its results
- Prepare measured task, body, furniture or already weighted exposure records. Supply independently verified caller policies, tables and comparison limits with matching units and conditions.
- Enter cartMassKg, callerGravityMPerS2, travelSignedSlopeDegrees, callerRollingResistanceCoefficient using the field table and calculation rules, then run the tool.
- Read signedGravityAlongTravelForceN, modelRollingResistanceMagnitudeN, signedRequiredSteadyTravelForceN, modelCoastingOrBrakingForceNeeded. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| cartMassKg | Cart mass kg | number | Required |
| callerGravityMPerS2 | Caller gravity m per s2 | number | Required |
| travelSignedSlopeDegrees | Travel signed slope degrees | number | Required |
| callerRollingResistanceCoefficient | Caller rolling resistance coefficient | number | Required |
Enter nonnegative mass/rolling coefficient, positive gravity and finite slope strictly inside−90…90 degrees. Return gravity component, resistance magnitude, signed total and strict-negative flag.
force=mg sinθ+μmg cosθ Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| signedGravityAlongTravelForceN | Signed gravity along travel force n | number |
| modelRollingResistanceMagnitudeN | Model rolling resistance magnitude n | number |
| signedRequiredSteadyTravelForceN | Signed required steady travel force n | number |
| modelCoastingOrBrakingForceNeeded | Model coasting or braking force needed | boolean |
{
"input": {
"cartMassKg": 10,
"callerGravityMPerS2": 10,
"travelSignedSlopeDegrees": 30,
"callerRollingResistanceCoefficient": 0.1
},
"output": {
"signedGravityAlongTravelForceN": 49.99999999999999,
"modelRollingResistanceMagnitudeN": 8.660254037844387,
"signedRequiredSteadyTravelForceN": 58.66025403784438,
"modelCoastingOrBrakingForceNeeded": false
}
}Limitations and assumptions
Start force, acceleration, traction and ramp safety are excluded.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.
Alternative or Complementary methods
Use Suitcase Handle Height Drag Friction Force Estimate Calculator: An angled suitcase pull changes the load on the wheels. Steady rolling resistance therefore depends on vertical unloading. For a complementary task, use Backpack Strap Load Distribution Percentage Split Calculator: Measured left/right strap balance differs from the straps’ share of declared backpack weight. Unaccounted force may be signed.
References
Similar or alternative tools
- Suitcase Handle Height Drag Friction Force Estimate Calculator
An angled suitcase pull changes the load on the wheels. Steady rolling resistance therefore depends on vertical unloading.
- Backpack Strap Load Distribution Percentage Split Calculator
Measured left/right strap balance differs from the straps’ share of declared backpack weight. Unaccounted force may be signed.