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Torque Formula:
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The torque formula T = I × α calculates rotational torque from moment of inertia and angular acceleration. This fundamental equation in rotational dynamics describes the relationship between these three key physical quantities.
The calculator uses the torque formula:
Where:
Explanation: The formula shows that torque is directly proportional to both moment of inertia and angular acceleration, similar to how force equals mass times acceleration in linear motion.
Details: Accurate torque calculation is crucial for designing mechanical systems, analyzing rotational motion, and ensuring proper functioning of engines, motors, and 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.
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 different from linear acceleration?
A: Angular acceleration refers to the rate of change of angular velocity (measured in rad/s²), while linear acceleration refers to the rate of change of linear velocity (measured in m/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: Can this formula be used for any rotating object?
A: Yes, this fundamental relationship applies to all rigid bodies undergoing rotational motion, regardless of their shape or composition.
Q5: How does torque relate to power in rotational systems?
A: Power in rotational systems is calculated as P = T × ω, where ω is the angular velocity in rad/s. This shows the direct relationship between torque and power output.