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Torque Formula:
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Torque calculation from inertia and angular acceleration is a fundamental concept in rotational dynamics. It determines the rotational force required to achieve a specific angular acceleration for a given moment of inertia.
The calculator uses the torque formula:
Where:
Explanation: This formula represents the rotational equivalent of Newton's second law (F = m × a) for linear motion, where torque is analogous to force, moment of inertia to mass, and angular acceleration to linear acceleration.
Details: Accurate torque calculation is essential for designing mechanical systems, analyzing rotational motion, determining power requirements for motors, and ensuring proper functioning of rotating machinery in various engineering applications.
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 different from linear acceleration?
A: Angular acceleration refers to the rate of change of angular velocity (measured in radians per second squared), while linear acceleration refers to the rate of change of linear velocity (measured in meters per second squared).
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, the formula T = I × α applies to all rigid bodies undergoing rotational motion about a fixed axis.
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 radians per second. This shows that both torque and rotational speed contribute to the power output.