Surface Roughness Converter Back EN | ZH
Surface Roughness

Surface Roughness Converter · Ra / Rz / Rq

Convert between Ra, Rz, Rq and Rmax. Compare achievable roughness ranges by manufacturing process. ISO surface finish symbol and ANSI N grade reference.

Parameters
Input Parameter
Roughness Value 1.600 μm
Logarithmic scale (0.01 – 316 μm)
Presets
Process Database
ProcessRa Range (μm)Match
ISO Symbol Reference
Ra 1.6  ANSI N7  CLA 63
CLA = Ra × 39.37 (μin)
1.60
Ra (μm) Arith. Avg.
9.60
Rz (μm) Ten-Point
2.00
Rq (μm) RMS
12.8
Rmax (μm)
N7
ANSI N Grade
63
CLA (μin)
Achievable Ra Range by Process

Theory

Arithmetic average roughness:

$$Ra = \frac{1}{L}\int_0^L |y(x)|\,dx$$

Root-mean-square roughness:

$$Rq = \sqrt{\frac{1}{L}\int_0^L y^2(x)\,dx}$$

Ten-point mean (approximation): $Rz \approx 4 \cdot Ra \sim 8 \cdot Ra$

$Rq \approx 1.25 \cdot Ra$ (random Gaussian profile approximation)

CAE Applications: FEM contact surface roughness specification · seal face leak-tightness · thermal contact conductance correction. Friction coefficients in LS-DYNA contact cards depend on surface Ra.
Quick Conversion Reference
Ra (μm)Rz (μm)Rq (μm)ANSI NTypical Use