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Torque Calculation Tool

Torque Equation:

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

N
m
degrees

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1. What is Torque?

Torque is a measure of the rotational force applied to an object. It's calculated as the product of the force applied, the distance from the pivot point (radius), and the sine of the angle between the force vector and the lever arm.

2. How Does the Calculator Work?

The calculator uses the torque equation:

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

Where:

Explanation: Maximum torque occurs when the force is applied perpendicular to the lever arm (θ = 90°). The torque decreases as the angle becomes more acute.

3. Importance of Torque Calculation

Details: Torque calculations are essential in mechanical engineering, automotive applications, and any system involving rotational motion. Proper torque ensures bolts are tightened correctly and machinery operates efficiently.

4. Using the Calculator

Tips: Enter force in newtons (N), radius in meters (m), and angle in degrees (0-90). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between torque and force?
A: Force causes linear acceleration, while torque causes angular acceleration. Torque depends on both the magnitude of force and where it's applied.

Q2: Why does angle affect torque?
A: Only the perpendicular component of the force contributes to rotation. At 0°, all force is parallel to the lever arm and produces no torque.

Q3: What are common torque units?
A: Newton-meters (N·m) are standard, but pound-feet (lb·ft) are also used, especially in automotive applications.

Q4: How is torque used in real-world applications?
A: Torque specifications are critical for proper bolt tightening, engine performance measurement, and electric motor sizing.

Q5: What happens at angles greater than 90°?
A: The calculator handles 0-90°, but torque decreases symmetrically beyond 90° (same as 180°-θ). Maximum torque is always at 90°.

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