Flywheel Inertia
Estimate required flywheel inertia I from permitted energy fluctuation ΔE, speed n and coefficient of speed fluctuation Cs.
Inputs
Formula
Fundamentals
Estimate required flywheel inertia I from permitted energy fluctuation ΔE, speed n and coefficient of speed fluctuation Cs.
This tool computes Flywheel Inertia from the formula: I = ΔE/(ω²·Cs), 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
| Energy fluctuation ΔE | Input parameter |
| Speed n | Input parameter |
| Fluctuation coeff. Cs | Input parameter |
| Angular speed ω | Output result |
| Inertia I | Output result |
How to use
- Fill in Energy fluctuation ΔE, Speed n, Fluctuation coeff. Cs in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Angular speed ω, Inertia I in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系：I = ΔE/(ω²·Cs), ω = 2πn/60
输入变量：
- Energy fluctuation ΔE
dE— J - Speed n
n— rpm - Fluctuation coeff. Cs
Cs
输出结果：
- Angular speed ω
omega— rad/s - Inertia I
I— kg·m²
假设/适用：Kinematic formulas assume rigid bodies, ignoring friction & elasticity; add losses for dynamics.
Worked Example
根据公式 I = ΔE/(ω²·Cs), ω = 2πn/60，取 Energy fluctuation ΔE = 2,000 J；Speed n = 1,000 rpm；Fluctuation coeff. Cs = 0.05。
代入计算得：Angular speed ω = 104.7 rad/s；Inertia I = 3.648 kg·m²。
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 |
|---|---|---|---|
| Energy fluctuation ΔE (J) | dE | J | 2000 |
| Speed n (rpm) | n | rpm | 1000 |
| Fluctuation coeff. Cs | Cs | 0.05 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Angular speed ω | omega | rad/s |
| Inertia I | I | kg·m² |
Applications
- Linkage and cam kinematics design
- Pulley mechanical-advantage study
- Engine valve-train and crank analysis