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Spring Force Reference Offset

Calculate ideal one-axis Hooke restoring force from an explicit positive-direction coordinate and unstretched reference.

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Description

Calculate restoring spring force relative to a supplied unstretched coordinate.

Physical quantities require compatible units, coordinate directions, reference origins and model assumptions. Mass and weight, angular and cyclic frequency, particle velocity and wave speed are distinct quantities. Ideal single-axis, linear-spring and constant-torque terms describe supplied models rather than identify real material behavior or safe operating limits.

Calculate restoring spring force relative to a supplied unstretched coordinate.

When to use this tool

Use Spring Force Reference Offset when you already have springConstant, coordinate, suppliedUnstretchedCoordinate and need to calculate restoring spring force relative to a supplied unstretched coordinate.

How to use the tool and how it works

  1. Enter springConstant, coordinate, suppliedUnstretchedCoordinate. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read restoringForce. Use the output convention below.

Require springConstant>=0; return -k*(coordinate-unstretchedCoordinate).1

Input fieldMeaning and unitsAccepted input
springConstantSpring ConstantRequired. Finite number; minimum 0.
coordinateCoordinateRequired. Finite number.
suppliedUnstretchedCoordinateSupplied Unstretched CoordinateRequired. Finite number.
Output fieldInterpretationReturned shape
restoringForceRestoring ForceRequired. Finite number.
json
{
  "input": {
    "springConstant": 100,
    "coordinate": 0.2,
    "suppliedUnstretchedCoordinate": 0.1
  },
  "output": {
    "restoringForce": -10
  }
}

Limitations and assumptions

  • Assumes an ideal linear spring and one signed axis with compatible force/length units; no preload, geometry or safe working range is inferred.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use the full force, energy or wave model with compatible reference frames and units for a physical prediction. Include changing loads, material behavior and losses when the ideal constant-parameter term no longer represents the system.

References

  1. Calculation and input contract: physics/spring-force-reference-offset — tool.io

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