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Torque Formula:
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The torque formula T = I × α calculates torque from moment of inertia and angular acceleration. This approach is useful when power measurements are not available but rotational dynamics parameters are known.
The calculator uses the torque formula:
Where:
Explanation: This formula represents the rotational equivalent of Newton's second law (F = m × a), where torque replaces force, moment of inertia replaces mass, and angular acceleration replaces linear acceleration.
Details: Accurate torque calculation is essential for designing mechanical systems, analyzing rotational motion, determining motor requirements, and ensuring proper operation of rotating machinery.
Tips: Enter moment of inertia in kg·m² and angular acceleration in rad/s². Both values must be positive numbers greater than zero for valid calculation.
Q1: Can I calculate torque without knowing power?
A: Yes, using T = I × α allows you to calculate torque without power measurements, provided you know the moment of inertia and angular acceleration.
Q2: How do I find angular acceleration from RPM?
A: Angular acceleration can be calculated from the change in angular velocity over time. First convert RPM to rad/s (multiply by π/30), then divide the change in angular velocity by the time interval.
Q3: What is moment of inertia?
A: Moment of inertia is a measure of an object's resistance to changes in its rotation rate. It depends on the mass distribution relative to the axis of rotation.
Q4: Are there limitations to this calculation method?
A: This method assumes constant angular acceleration and requires accurate measurements of moment of inertia and angular acceleration. It may not account for friction or other resistive forces.
Q5: What units should I use for this calculation?
A: Use consistent SI units: moment of inertia in kg·m², angular acceleration in rad/s², which will give torque in Newton-meters (Nm).