1. What is Flywheel Torque Calculation?

Definition: This calculator determines the torque required to accelerate a flywheel based on its moment of inertia and desired angular acceleration.

Purpose: It helps mechanical engineers and designers calculate the torque needed for flywheel systems in engines, energy storage, and machinery.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( T \) — Torque (pound-feet)
• \( I_f \) — Moment of inertia (pound-feet squared)
• \( \alpha \) — Angular acceleration (radians per second squared)

Explanation: The torque required to accelerate a flywheel is directly proportional to both its moment of inertia and the desired angular acceleration.

3. Importance of Flywheel Torque Calculation

Details: Proper torque calculation ensures proper motor sizing, energy efficiency, and system reliability in rotational mechanical systems.

4. Using the Calculator

Tips: Enter the flywheel's moment of inertia in lb-ft² and the desired angular acceleration in rad/s². All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: How do I find the moment of inertia?
A: For standard shapes, use formulas (I = ½mr² for solid disk). For complex shapes, use CAD software or experimental methods.

Q2: What's a typical angular acceleration value?
A: This varies widely by application - from 1-5 rad/s² for energy storage to 10-50 rad/s² for high-performance engines.

Q3: Does this account for friction losses?
A: No, this is the theoretical torque. Add 10-20% for practical applications to account for bearing friction and other losses.

Q4: Can I use kg-m² for inertia?
A: You can, but you'll need to convert the result to lb-ft (1 kg-m² = 23.73 lb-ft²).

Q5: How does flywheel mass affect torque?
A: More mass increases moment of inertia, which directly increases required torque for the same acceleration.