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Torque Formula:
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The torque formula T = I × α calculates the rotational force (torque) required to produce an angular acceleration about an axis of rotation. It relates moment of inertia (I) and angular acceleration (α) to determine the torque (T) in Newton-meters.
The calculator uses the torque formula:
Where:
Explanation: The formula shows that torque is directly proportional to both moment of inertia and angular acceleration. Higher inertia or faster acceleration requires more torque.
Details: Accurate torque calculation is essential in mechanical engineering, robotics, automotive design, and physics to determine the rotational force needed for various applications and to ensure proper system performance.
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: 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.
Q2: What is angular acceleration?
A: Angular acceleration is the rate of change of angular velocity over time, measured in radians per second squared (rad/s²).
Q3: What are typical units for torque?
A: Torque is typically measured in Newton-meters (Nm) in the SI system, or pound-feet (lb-ft) in the imperial system.
Q4: How does this relate to linear motion?
A: This is the rotational equivalent of Newton's second law (F = m × a), where torque corresponds to force, inertia to mass, and angular acceleration to linear acceleration.
Q5: What factors affect moment of inertia?
A: Moment of inertia depends on the mass of the object and how that mass is distributed relative to the axis of rotation. Objects with mass farther from the axis have higher inertia.