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Relative Velocity Axis Tool

Return the Galilean object velocity along one axis relative to a translating frame on that axis.

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Description

Subtract frameVelocity from objectVelocity for relativeVelocity along one axis.

Mechanics formulas relate forces, motion, energy, and geometry within a specified model. Signed coordinates and consistent units determine each component; a formula evaluation does not verify measured loads or the suitability of the physical model.

Subtract frameVelocity from objectVelocity for relativeVelocity along one axis.

When to use this tool

Use Relative Velocity Axis when you need one elementary mechanics component under an explicit coordinate and unit convention.

How to use the tool and how it works

  1. Enter objectVelocity, frameVelocity. 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 relativeVelocity. Use the output convention below.

Subtract frameVelocity from objectVelocity for relativeVelocity along one axis.1

Input fieldMeaning and unitsAccepted input
objectVelocityObject VelocityRequired. Finite number.
frameVelocityFrame VelocityRequired. Finite number.
Output fieldInterpretationReturned shape
relativeVelocityRelative VelocityRequired. Finite number.
json
{
  "input": {
    "objectVelocity": 12,
    "frameVelocity": 5
  },
  "output": {
    "relativeVelocity": 7
  }
}

Limitations and assumptions

  • Use one velocity unit and signed axis convention; this is Galilean subtraction without relativistic transformation or acceleration effects.
  • 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

Check the complete physical model and consult a qualified professional when the result informs equipment or structural safety.

References

  1. Calculation and input contract: physics/relative-velocity-axis — tool.io

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