Material Removal Rate

Compute volume removal rate Q (MRR) from depth ap, feed f and speed v.

Inputs

Formula

Q = ap·f·v
Higher MRR usually trades off finish and tool life.
MRR
Material Removal Rate schematic

Fundamentals

Compute volume removal rate Q (MRR) from depth ap, feed f and speed v.

This tool computes Material Removal Rate from the formula: Q = ap·f·v

History

Manufacturing evolved with machine tools and CNC; cutting-parameter calculation is central to process planning.

Engineering applications

Used for cutting parameters, tooling and forming process design.

Glossary

Depth apInput parameter
Feed fInput parameter
Cutting speed vInput parameter
MRR QOutput result

How to use

  1. Fill in Depth ap, Feed f, Cutting speed v in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read MRR Q in the results area.

Formula · Worked Example · Knowledge

Formula

核心计算关系:Q = ap·f·v

输入变量:

  • Depth ap ap — mm
  • Feed f f — mm/rev
  • Cutting speed v v — m/min

输出结果:

  • MRR Q Q — cm³/min

假设/适用:Cutting params (v, f, a_p) must stay within tool/workpiece recommended windows.

Worked Example

根据公式 Q = ap·f·v,取 Depth ap = 2 mm;Feed f = 0.2 mm/rev;Cutting speed v = 100 m/min。

代入计算得:MRR Q = 40 cm³/min。

Key Points

  • Cutting params (v, f, a_p) must stay within tool/workpiece recommended windows.
  • MRR scales with feed speed, depth and width; sets required spindle power.
  • Feed f = f_z·z·n; match per-tooth feed with spindle speed.

Parameters

Inputs

ParameterSymbolUnitDefault
Depth ap (mm)apmm2
Feed f (mm/rev)fmm/rev0.2
Cutting speed v (m/min)vm/min100

Outputs

ResultSymbolUnit
MRR QQcm³/min

Applications

  • Cutting parameters and speed
  • Gear measurement (3-wire/base tangent)
  • Blanking and deep-drawing process

FAQ

What formula does this tool use?
This tool computes per ISO / AGMA / ASME standard formulas: Q = ap·f·v
How accurate are the results?
Results match input precision, based on SI units and common engineering approximations; for critical duty re-check with a safety factor.
Where is it used?
Cutting parameters and speed