Reciprocal Length Unit Factor Tool

Description

Return the numeric conversion factor for reciprocal-length units.

Conversion direction matters for reciprocal and logarithmic quantities. Frequencies, periods, phase coordinates and reference ratios use explicit origins, sign policies and denominator units, rather than a single ordinary length or time multiplier.

Return the numeric conversion factor for reciprocal-length units.

When to use this tool

Use Reciprocal Length Unit Factor when converting the stated reciprocal, angular, phase or logarithmic convention.

How to use the tool and how it works

Enter sourceLengthInMeters, targetLengthInMeters. Use the units and conventions below.
Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
Read factor. Use the output convention below.

Return the numeric conversion factor for reciprocal-length units. Require positive sourceLengthInMeters/targetLengthInMeters; factor = target/source.^[1]

Input field	Meaning and units	Accepted input
sourceLengthInMeters	Source Length In Meters	Required. Finite number; strictly above 0.
targetLengthInMeters	Target Length In Meters	Required. Finite number; strictly above 0.

Output field	Interpretation	Returned shape
factor	Multiply a value per source length unit by targetLengthInMeters/sourceLengthInMeters.	Required. Finite number.

json

{
  "input": {
    "sourceLengthInMeters": 0.01,
    "targetLengthInMeters": 1
  },
  "output": {
    "factor": 100
  }
}

Limitations and assumptions

Multiply a value per source length by this factor; this is not the ordinary length conversion direction.
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 complete unit and origin definitions, and distinguish a coordinate conversion from a density Jacobian or a physical measurement.

References

Calculation and input contract: convert/reciprocal-length-unit-factor — tool.io

Similar or alternative tools

Reciprocal Time Unit Ratio
Return the numeric conversion factor for reciprocal-time units.
Stiffness Compliance Unit Sign Tool
Signed reciprocal stiffness and an explicit positive compliance-unit conversion factor.