You can convert different roughness values to the more commonly used Ra roughness value using the table below. This table was created to provide an indication. It gives approximate results.

Conversion Formulas

Conversion Formula: F = Ra x Coefficient
Reverse Conversion: Ra = F / Coefficient

Coefficient Table

Roughness Value (F)CoefficientDescription
Rt8.7Total profile height
Rz7.2Average maximum profile height (DIN)
Rz ISO7.6Average maximum profile height (ISO)
Rmax8.0Maximum roughness depth
Rp3.6Average peak height
RPM2.9Maximum peak height
RMS (Rq)1.1Root mean square roughness

Calculation Examples

Example 1: Ra to Rz Conversion

If Ra = 0.8 µm, what is Rz?
Rz = Ra x 7.2 = 0.8 x 7.2 = 5.76 µm

Example 2: Rz to Ra Conversion

If Rz = 1 µm, what is Ra?
Ra = Rz / 7.2 = 1 / 7.2 = 0.14 µm

Example 3: Ra to RMS Conversion

If Ra = 1.6 µm, what is RMS (Rq)?
RMS = Ra x 1.1 = 1.6 x 1.1 = 1.76 µm

Example 4: Rt to Ra Conversion

If Rt = 17.4 µm, what is Ra?
Ra = Rt / 8.7 = 17.4 / 8.7 = 2.0 µm

Warning: These coefficients are approximate values. Actual conversion ratios may vary depending on material, machining method and surface profile. Direct measurement is recommended for precision applications.

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Prepared by: Yamac Aksan