Quick Answer
Calculate ISO 10360-2 Volumetric Measurement Uncertainty (e_MPE) for Coordinate Measuring Machines
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Find Engineering Solutions →Result Interpretation
ISO 10360-2 Volumetric Measurement Uncertainty (e_MPE) for Coordinate Measuring Machines calculator computes Volumetric measurement uncertainty in m using the defined engineering formula and the input values provided. Volumetric measurement uncertainty is expressed in m. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- X-axis length measurement error = 2.0E-6
- Y-axis length measurement error = 2.0E-6
- Z-axis length measurement error = 2.0E-6
- X-axis weighting coefficient = 1
- Y-axis weighting coefficient = 1
- Z-axis weighting coefficient = 1
Expected Result:
- Volumetric measurement uncertainty = 3.4641016151378E-6
Engineering Interpretation:
Under the given input conditions, the calculated result is: Volumetric measurement uncertainty = 3.4641016151378E-6 m.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
volumetric measurement uncertainty = sqrt(pow(x-axis weighting coefficient * x-axis length measurement error, 2) + pow(y-axis weighting coefficient * y-axis length measurement error, 2) + pow(z-axis weighting coefficient * z-axis length measurement error, 2))Formula family: formula_metrology_cmm_volumetric_measurement_uncertainty_e_mpe_calculator_per_iso_10360_
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| e_x | X-axis length measurement error | INPUT | X-axis length measurement error |
| e_y | Y-axis length measurement error | INPUT | Y-axis length measurement error |
| e_z | Z-axis length measurement error | INPUT | Z-axis length measurement error |
| k_x | X-axis weighting coefficient | INPUT | X-axis weighting coefficient |
| k_y | Y-axis weighting coefficient | INPUT | Y-axis weighting coefficient |
| k_z | Z-axis weighting coefficient | INPUT | Z-axis weighting coefficient |
| e_mpe | Volumetric measurement uncertainty | OUTPUT | Volumetric measurement uncertainty |
Calculation Steps
- Enter the x-axis length measurement error in m.
- Enter the y-axis length measurement error in m.
- Enter the z-axis length measurement error in m.
- Enter the x-axis weighting coefficient in 1.
- Enter the y-axis weighting coefficient in 1.
- Enter the z-axis weighting coefficient in 1.
- Step 1: Compute volumetric measurement uncertainty.
- Read the volumetric measurement uncertainty (m) from the results.
Engineering Summary
Calculate ISO 10360-2 Volumetric Measurement Uncertainty (e_MPE) for Coordinate Measuring Machines
Frequently Asked Questions
What does this calculator calculate?
The ISO 10360-2 Volumetric Measurement Uncertainty (e_MPE) for Coordinate Measuring Machines calculator estimates Volumetric measurement uncertainty based on the input parameters you provide
Why is x-axis length measurement error important in this calculation?
axis length measurement error is used directly in the calculation of volumetric measurement uncertainty. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter x-axis length measurement error in m, the calculator uses it in the engineering formula to compute the output
How should I interpret the result volumetric measurement uncertainty?
The calculator outputs volumetric measurement uncertainty in m. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: X-axis length measurement error (m), Y-axis length measurement error (m), Z-axis length measurement error (m). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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