Torque Equation:
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Torque is a measure of the rotational force applied to an object. It depends on the magnitude of the force, the distance from the pivot point (radius), and the angle at which the force is applied relative to the lever arm.
The calculator uses the torque equation:
Where:
Explanation: The sine function accounts for the component of force that is perpendicular to the lever arm, which is the effective force producing rotation.
Details: Accurate torque calculation is essential in mechanical engineering, physics, automotive applications, and many industrial processes where rotational forces need to be measured or applied precisely.
Tips: Enter radius in meters, force in newtons, and angle in degrees. All values must be valid (radius > 0, force > 0, angle between 0-360 degrees).
Q1: Why is the angle important in torque calculation?
A: The angle determines how much of the applied force actually contributes to rotation. Only the perpendicular component of the force produces torque.
Q2: What is maximum torque achieved?
A: Maximum torque occurs when the force is applied perpendicular to the lever arm (θ = 90° or 270°), where sin(θ) = 1.
Q3: What happens when force is applied parallel to the lever arm?
A: When force is parallel (θ = 0° or 180°), sin(θ) = 0, resulting in zero torque as no rotational force is produced.
Q4: Can torque be negative?
A: Yes, torque can be negative indicating clockwise rotation, while positive torque indicates counterclockwise rotation.
Q5: What are common applications of torque calculation?
A: Common applications include engine performance analysis, bolt tightening, mechanical design, robotics, and many industrial manufacturing processes.