Belt Speed
Compute belt speed v (m/s) from pulley diameter D and speed n.
Inputs
Formula
v = π·D·n/(60·1000)
Too high a belt speed slips/heats; too low under-powers.
Fundamentals
Compute belt speed v (m/s) from pulley diameter D and speed n.
This tool computes Belt Speed from the formula: v = π·D·n/(60·1000)
History
Classical mechanics founded by Newton; kinematics formulas remain the basis of mechanical and vehicle design.
Engineering applications
Used for mechanism kinematics, energy calculations and balancing.
Glossary
| Pulley dia. D | Input parameter |
| Speed n | Input parameter |
| Belt speed v | Output result |
How to use
- Fill in Pulley dia. D, Speed n in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Belt 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：
- Pulley dia. D
D— mm - Speed n
n— rpm
输出结果：
- Belt speed v
v— m/s
假设/适用：Kinematic formulas assume rigid bodies, ignoring friction & elasticity; add losses for dynamics.
Worked Example
根据公式 v = π·D·n/(60·1000)，取 Pulley dia. D = 200 mm；Speed n = 1,450 rpm。
代入计算得：Belt speed v = 15.18 m/s。
Key Points
- Kinematic formulas assume rigid bodies, ignoring friction & elasticity; add losses for dynamics.
- Use SI units (kg, m, s, rad) to avoid conversion errors.
- Angular and linear quantities relate by radius r: v = ω·r, a = α·r.
Parameters
Inputs
| Parameter | Symbol | Unit | Default |
|---|---|---|---|
| Pulley dia. D (mm) | D | mm | 200 |
| Speed n (rpm) | n | rpm | 1450 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Belt speed v | v | m/s |
Applications
- Linkage and cam kinematics design
- Pulley mechanical-advantage study
- Engine valve-train and crank analysis
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?
Linkage and cam kinematics design