Flywheel Torque Calculator
Calculate torque capacity, energy storage, and torsional vibration characteristics
What Is a Flywheel?
A flywheel is a rotating disc connected to an engine’s crankshaft. Its main job is to:
- Store rotational energy
- Smooth engine pulses
- Improve idle stability
- Control torsional vibration
When your engine fires, power comes in pulses. The flywheel smooths those pulses into steady rotation.
Without it, engines would feel rough and unstable.
What Is a Flywheel Torque Calculator?
A flywheel torque calculator is a tool that calculates:
- Moment of inertia
- Kinetic energy storage
- Torque capacity
- Hoop stress
- Maximum safe RPM
- Torsional vibration risk
It takes inputs such as:
- Flywheel mass
- Outer diameter
- Inner diameter (hub bore)
- Maximum operating speed (RPM)
- Material type
- Number of engine cylinders
- Safety factor
Then it performs physics-based calculations to give you real engineering values.
Key Inputs Explained
Understanding each input helps you get accurate results.
1. Flywheel Mass
Mass directly affects inertia.
Heavier flywheels:
- Store more energy
- Smooth idle better
- Reduce stalling
- Rev slower
Lighter flywheels:
- Improve throttle response
- Reduce rotational drag
- Rev faster
- Provide less smoothing
Mass can be entered in kilograms (kg) or pounds (lbs).
2. Outer Diameter
Diameter has a major effect on inertia because rotational energy increases with radius squared.
A small increase in diameter can greatly increase:
- Moment of inertia
- Energy storage
- Torque capacity
Units supported:
- mm
- cm
- inches
3. Inner Diameter (Hub Bore)
If your flywheel has a center hole, it reduces mass distribution.
- Enter 0 for a solid disc
- Larger inner diameters reduce inertia
This affects the radius of gyration, which influences torque storage.
4. Maximum Operating Speed (RPM)
RPM determines:
- Angular velocity
- Kinetic energy
- Hoop stress
- Torsional frequency
Higher RPM dramatically increases stress because stress increases with speed squared.
The calculator allows:
- RPM
- rad/s
5. Material Type
Material determines:
- Density
- Ultimate tensile strength (UTS)
- Maximum safe stress
Common materials include:
| Material | Density (kg/m³) | Typical UTS (MPa) |
|---|---|---|
| Carbon Steel | 7850 | 400 |
| Alloy Steel | 7850 | 800 |
| Aluminum Alloy | 2700 | 300 |
| Titanium | 4500 | 900 |
| Cast Iron | 7200 | 250 |
Stronger materials allow higher RPM and lower failure risk.
6. Engine Cylinders and Stroke Type
This is used for torsional vibration analysis.
The calculator evaluates:
- Firing frequency
- Natural frequency
- Resonance risk
If the firing frequency matches the natural frequency, vibration increases sharply.
That’s when failures happen.
7. Safety Factor
A safety factor protects against:
- Material defects
- Fatigue
- Thermal cycling
- Manufacturing tolerances
Typical values:
- 2.5 for street vehicles
- 3.0 or more for racing
Core Calculations Explained
Here is what the flywheel torque calculator computes behind the scenes.
1. Moment of Inertia
Formula:
I = m × k
Where:
- m = mass (kg)
- k = radius factor based on outer and inner radius
Inertia determines resistance to acceleration.
Higher inertia means:
- More stored energy
- Slower acceleration
2. Kinetic Energy Storage
Formula:
KE = ½ I ω²
Where:
- I = moment of inertia
- ω = angular velocity
Results are displayed in:
- kJ (kilojoules)
- Wh (watt-hours)
This tells you how much energy your flywheel stores at max RPM.
3. Torque Capacity
Torque is calculated using:
Torque = I × angular acceleration
This shows how much torque the flywheel can resist during acceleration.
Displayed in:
- N·m
- lb-ft
4. Hoop Stress
Hoop stress determines structural safety at high RPM.
Formula concept:
Stress ∝ density × (speed × radius)²
If hoop stress exceeds allowable stress, the flywheel can fail.
The calculator shows:
- Hoop stress (MPa)
- Maximum safe RPM
- Stress ratio
If stress ratio exceeds 1.0, it’s unsafe.
5. Torsional Vibration Analysis
The tool calculates:
- Engine firing frequency
- Flywheel natural frequency
- Frequency ratio
If ratio falls between 0.8 and 1.2, resonance risk increases.
Resonance can cause:
- Crankshaft fatigue
- Gear noise
- Component failure
Understanding the Results Section
The calculator provides several outputs.
Moment of Inertia (kg·m²)
This defines how resistant the flywheel is to acceleration.
Example classifications:
- < 0.05 → Motorcycle / compact
- 0.05–0.2 → Sport compact
- 0.2–0.5 → Performance street
- 0.5–1.0 → Heavy street / truck
- 1.0 → Industrial
Kinetic Energy (kJ and Wh)
Shows stored rotational energy at maximum RPM.
Higher values mean:
- Better idle smoothing
- Slower throttle response
Torque Capacity (N·m)
Indicates resistance to sudden acceleration.
Important for:
- Launch control
- Clutch engagement
- Racing setups
Hoop Stress (MPa)
If stress approaches material limit:
- Reduce RPM
- Increase safety factor
- Choose stronger material
Torsional Frequency Warning
If the calculator shows:
“Operating near torsional resonance”
You should:
- Add a harmonic damper
- Modify flywheel inertia
- Adjust RPM range
Real-World Example
Suppose you enter:
- 25 kg mass
- 300 mm diameter
- 8000 RPM
- Steel material
- 4-cylinder 4-stroke
The calculator may show:
- Moderate inertia
- Good energy storage
- Safe stress ratio
- Balanced torsional frequency
This would suit a performance street car.
If RPM is increased to 12,000, hoop stress may exceed safe limits. That signals danger.
Why Flywheel Torque Calculation Matters
A flywheel is not just a heavy disc. It affects:
- Engine response
- Driveability
- Durability
- Safety
Incorrect sizing can lead to:
- Poor acceleration
- Rough idle
- Structural failure
- Catastrophic breakup at high RPM
Using a flywheel torque calculator removes guesswork.
Street vs Racing Flywheel Selection
Street Use
- Higher inertia
- Better smoothness
- Larger safety factor
Racing Use
- Lower inertia
- Faster revving
- High-strength alloy materials
- Higher safety factor
The calculator helps balance response and reliability.
Common Mistakes to Avoid
- Ignoring safety factor
- Exceeding safe RPM
- Choosing material based only on weight
- Overlooking torsional resonance
- Using incorrect units
Always double-check inputs.
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