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Independent Length Uncertainty Calculator
Combine independent length standard uncertainties for a linear model. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Combined standard uncertainty u_c
Enter values and select Calculate.
u_c = √((c₁u₁)²+(c₂u₂)²)
Assumptions
Required: nonnegative length standard uncertainties, zero covariance and dimensionless coefficients for y=c₁x₁+c₂x₂. The result is standard uncertainty. Expanded uncertainty, confidence level, correlation and systematic corrections are separate.
Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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