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How To Calculate Torques

Torque Equation:

\[ T = F \times r \times \sin(\theta) \]

N
m
degrees

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1. What is Torque?

Torque is a measure of the rotational force applied to an object. It describes how much a force acting on an object causes that object to rotate around an axis. Torque is measured in newton-meters (Nm) in the SI system.

2. How Does the Calculator Work?

The calculator uses the torque equation:

\[ T = F \times r \times \sin(\theta) \]

Where:

Explanation: The equation calculates the rotational effect of a force applied at a distance from a pivot point, considering the angle of application.

3. Importance of Torque Calculation

Details: Torque calculation is essential in mechanical engineering, automotive design, robotics, and many other fields where rotational motion and forces are involved. It helps determine the effectiveness of rotational forces and is crucial for designing mechanical systems.

4. Using the Calculator

Tips: Enter force in newtons (N), radius in meters (m), and angle in degrees. All values must be valid (force > 0, radius > 0, angle between 0-180 degrees).

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum torque possible?
A: Maximum torque occurs when the force is applied perpendicular to the lever arm (θ = 90°), where sin(θ) = 1.

Q2: How does angle affect torque?
A: Torque is maximized when the force is perpendicular to the lever arm and decreases as the angle deviates from 90°.

Q3: What are common torque units?
A: Newton-meters (Nm) in SI system, pound-feet (lb-ft) in imperial system.

Q4: When is torque zero?
A: Torque is zero when the force is applied directly toward or away from the axis (θ = 0° or 180°).

Q5: How is torque different from force?
A: Force causes linear acceleration, while torque causes rotational acceleration. Torque depends on both the magnitude of force and its point of application.

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