Spindle Speed
Compute spindle speed n from cutting speed v (m/min) and tool dia. D (mm).
Inputs
Formula
n = 1000·v/(π·D)
Pick v by workpiece and tool (HSS/carbide).
Fundamentals
Compute spindle speed n from cutting speed v (m/min) and tool dia. D (mm).
This tool computes Spindle Speed from the formula: n = 1000·v/(π·D)
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
| Cutting speed v | Input parameter |
| Tool dia. D | Input parameter |
| Speed n | Output result |
How to use
- Fill in Cutting speed v, Tool dia. D in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Speed n in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系：n = 1000·v/(π·D)
输入变量：
- Cutting speed v
v— m/min - Tool dia. D
D— mm
输出结果：
- Speed n
n— rpm
假设/适用：Cutting params (v, f, a_p) must stay within tool/workpiece recommended windows.
Worked Example
根据公式 n = 1000·v/(π·D)，取 Cutting speed v = 100 m/min；Tool dia. D = 10 mm。
代入计算得：Speed n = 3,183 rpm。
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
| Parameter | Symbol | Unit | Default |
|---|---|---|---|
| Cutting speed v (m/min) | v | m/min | 100 |
| Tool dia. D (mm) | D | mm | 10 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Speed n | n | rpm |
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: n = 1000·v/(π·D)
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