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Calculate Torque Formula

Torque Equation:

\[ \vec{\tau} = \vec{r} \times \vec{F} \]

N
m
degrees

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1. What is Torque?

Torque (τ) is a measure of the rotational force applied to an object. It's calculated as the cross product of the position vector (r) and the force vector (F). Torque causes angular acceleration in objects.

2. How Does the Calculator Work?

The calculator uses the torque equation:

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

Where:

Explanation: The equation calculates the magnitude of torque, which depends on the force applied, the distance from the pivot point, and the angle between them.

3. Importance of Torque Calculation

Details: Torque is crucial in mechanical systems, automotive engineering, and structural design. It helps determine rotational forces in engines, gears, and other mechanical components.

4. Using the Calculator

Tips: Enter force in newtons (N), distance in meters (m), and angle in degrees. The angle should be between 0° and 180°.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between torque and force?
A: Force causes linear acceleration, while torque causes angular (rotational) acceleration.

Q2: What happens at 90 degrees?
A: At 90°, sin(θ) = 1, so torque is maximized (τ = r × F).

Q3: What's the right-hand rule?
A: It determines torque direction: point fingers along r, curl toward F, thumb points in torque direction.

Q4: How does distance affect torque?
A: Torque increases linearly with distance from the pivot point.

Q5: What are common torque units?
A: Newton-meters (Nm) in SI, foot-pounds (ft·lb) in imperial.

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