Imbalance Force Calculator

How to Use This Calculator

1. Enter the mass of the rotating object in kilograms (kg)
2. Specify the radius of rotation (distance from the axis of rotation to the center of the object)
3. Measure and enter the eccentricity (distance from the center of rotation to the center of mass)
4. Input the angular velocity of the rotation in radians per second (rad/s)
5. Click the "Calculate" button to compute the imbalance force

Understanding Imbalance Force

Imbalance force occurs when a rotating object has its center of mass offset from the axis of rotation. This creates a cyclic force that vibrates the entire system at the rotational frequency.

The formula used is F = m × e × ω², where:
- F is the imbalance force
- m is the mass of the object
- e is the eccentricity (distance from rotation axis to center of mass)
- ω is the angular velocity

Applications

This calculator is useful in various engineering applications including:

• Machine design and vibration analysis
• Rotating equipment maintenance
• Optimizing engine performance
• Designing balanced rotating machinery

Example

For a 5 kg flywheel with a radius of 0.3 m rotating at 3000 RPM (which is 31.416 rad/s), and with an eccentricity of 0.001 m, the imbalance force would be: F = 5 kg × 0.001 m × (31.416 rad/s)² = 0.497 N