Circumferential Speed
Compute circumferential speed v (m/s) from dia. D (mm) and speed n (rpm); used for grinding/milling wheel speed.
Inputs
Formula
v = π·D·n/(60·1000)
Over-speed grinding wheels can burst; respect limits.
Fundamentals
Compute circumferential speed v (m/s) from dia. D (mm) and speed n (rpm); used for grinding/milling wheel speed.
This tool computes Circumferential Speed from the formula: v = π·D·n/(60·1000)
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
| Diameter D | Input parameter |
| Speed n | Input parameter |
| Line speed v | Output result |
How to use
- Fill in Diameter D, Speed n in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Line speed v in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系：v = π·D·n/(60·1000)
输入变量：
- Diameter D
D— mm - Speed n
n— rpm
输出结果：
- Line speed v
v— m/s
假设/适用：Cutting params (v, f, a_p) must stay within tool/workpiece recommended windows.
Worked Example
根据公式 v = π·D·n/(60·1000)，取 Diameter D = 300 mm；Speed n = 3,000 rpm。
代入计算得：Line speed v = 47.12 m/s。
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 |
|---|---|---|---|
| Diameter D (mm) | D | mm | 300 |
| Speed n (rpm) | n | rpm | 3000 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Line speed v | v | m/s |
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: v = π·D·n/(60·1000)
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