Centrifugal Force
Compute centrifugal force F from mass m, speed n and radius r.
Inputs
Formula
F = m·ω²·r, ω = 2πn/60
Centrifugal force is key for high-speed rotors and centrifuges.
Fundamentals
Compute centrifugal force F from mass m, speed n and radius r.
This tool computes Centrifugal Force from the formula: F = m·ω²·r, ω = 2πn/60
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
| Mass m | Input parameter |
| Speed n | Input parameter |
| Radius r | Input parameter |
| Angular speed ω | Output result |
| Centrifugal force F | Output result |
How to use
- Fill in Mass m, Speed n, Radius r in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Angular speed ω, Centrifugal force F in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系：F = m·ω²·r, ω = 2πn/60
输入变量：
- Mass m
m— kg - Speed n
n— rpm - Radius r
r— m
输出结果：
- Angular speed ω
omega— rad/s - Centrifugal force F
F— N
假设/适用：Kinematic formulas assume rigid bodies, ignoring friction & elasticity; add losses for dynamics.
Worked Example
根据公式 F = m·ω²·r, ω = 2πn/60，取 Mass m = 5 kg；Speed n = 3,000 rpm；Radius r = 0.2 m。
代入计算得：Angular speed ω = 314.2 rad/s；Centrifugal force F = 98,700 N。
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 |
|---|---|---|---|
| Mass m (kg) | m | kg | 5 |
| Speed n (rpm) | n | rpm | 3000 |
| Radius r (m) | r | m | 0.2 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Angular speed ω | omega | rad/s |
| Centrifugal force F | F | N |
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: F = m·ω²·r, ω = 2πn/60
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