Formula
- Rz ≈ 6 × Ra
- Rq ≈ 1.11 × Ra
- Rt ≈ 7.5 × Ra
- Ra (µin) = Ra (µm) × 39.37
About this calculator
Part of our GD&T & Metrology Calculators collection. True position, fits, ISO tolerances, and surface roughness.
How it works
Enter one roughness parameter and the converter estimates the related Ra, Rz, Rq, and Rt values using standard approximation ratios. Micro-inch and metric Ra convert directly. Closest N grade maps your value to the ISO 1302 scale.
Enter your values in the inputs above and click CALCULATE. Results appear on the right without a page reload. No login and no server upload.
Worked example
Input Ra = 1.6 µm (typical ground surface).
- Rz = 6 × 1.6 = 9.6 µm
- Rq = 1.11 × 1.6 = 1.78 µm
- Closest ISO N grade = N7
Result: Ra 1.6 µm ≈ 63 µin, N7 finish.
When to use
- Converting between Ra, Rz, Rq, Rt, and micro-inch
- Mapping measured Ra to ISO N-grade for drawings
- Comparing supplier finish reports in different units
Limitations
- Rz/Rq/Rt ratios are approximations; actual profile shape varies by process
- N-grade mapping uses closest log match, not exact standard band
- Does not compute from raw profile data
FAQ
- Ra vs Rz?
- Ra is average roughness. Rz is average peak-to-valley height over sampling lengths — typically about 4 to 7× Ra depending on process.
- What is N7?
- ISO 1302 N7 corresponds to Ra ≈ 1.6 µm — common for general machined surfaces.
Privacy and accuracy
Every calculation runs locally in your browser. Your design data never leaves your device. Results are intended for preliminary engineering work. Always verify critical designs with qualified review and applicable standards before production use.
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