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Torque Formula:
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The torque formula T = I × α calculates the rotational force (torque) required to produce a given angular acceleration about an axis of rotation. It is the rotational equivalent of Newton's second law of motion (F = m × a).
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: Torque calculation is essential in mechanical engineering, robotics, automotive design, and physics to determine the rotational force needed for various applications and to design appropriate motor systems.
Tips: Enter moment of inertia in kg m² and angular acceleration in rad/s². Both values must be positive numbers greater than zero for accurate 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: How is angular acceleration measured?
A: Angular acceleration is the rate of change of angular velocity, measured in radians per second squared (rad/s²).
Q3: What are typical torque values in engineering applications?
A: Torque values vary widely from small precision instruments (fractional Nm) to industrial machinery (thousands of Nm), depending on the application.
Q4: Can this formula be used for linear motion?
A: No, this is specifically for rotational motion. For linear motion, the equivalent formula is F = m × a (force = mass × acceleration).
Q5: How does gear ratio affect torque?
A: Gear systems can multiply torque while reducing rotational speed, following the principle of conservation of energy (torque × angular speed remains constant).