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Torque Equation:
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Torque is a measure of the rotational force applied to an object. It determines how much an object will rotate when a force is applied. The torque required to rotate a mass depends on its moment of inertia and the desired angular acceleration.
The calculator uses the fundamental torque equation:
Where:
Explanation: The equation shows that torque is directly proportional to both the moment of inertia of the object and the angular acceleration you want to achieve.
Details: Calculating torque is essential for designing mechanical systems, selecting appropriate motors, and ensuring systems can achieve desired rotational speeds without stalling or failing.
Tips: Enter the moment of inertia in kg·m² and the desired angular acceleration in rad/s². Both values must be positive numbers.
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 (how fast the rotation speed changes), while linear acceleration refers to changes in straight-line velocity.
Q3: What are typical torque values for common applications?
A: Small electric motors might produce 0.1-1 N·m, while car engines can produce hundreds of N·m. Industrial motors can produce thousands of N·m.
Q4: How does radius affect torque?
A: For a given linear force, torque increases with radius (τ = r × F). This is why longer wrenches make it easier to turn bolts.
Q5: Can this calculator be used for complex shapes?
A: Yes, as long as you know the total moment of inertia of the system. For complex shapes, you may need to calculate or look up their moments of inertia first.