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Formula For Calculating Torque

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 force that can cause an object to rotate about an axis. It is the rotational equivalent of linear force and is calculated as the product of force and the perpendicular distance from the axis of rotation to the line of action of the force.

2. How Does the Calculator Work?

The calculator uses the torque equation:

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

Where:

Explanation: The equation shows that torque depends on the magnitude of the force, the distance from the pivot point, and the angle at which the force is applied.

3. Importance of Torque Calculation

Details: Torque calculations are essential in mechanical engineering, automotive design, and many other fields where rotational forces need to be understood and controlled.

4. Using the Calculator

Tips: Enter force in newtons, radius in meters, and angle in degrees (0-180). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is maximum torque?
A: Maximum torque occurs when the angle θ is 90 degrees, as sin(90°) = 1, making the torque simply F × r.

Q2: What are common torque units?
A: The SI unit is newton-meter (Nm). Other units include pound-feet (lb-ft) and dyne-centimeter (dyn-cm).

Q3: How does angle affect torque?
A: Torque is maximized at 90° and zero at 0° or 180°. The effective torque component is Fsinθ.

Q4: What's the difference between torque and moment?
A: In physics, they are often used interchangeably, though moment is a more general term that can refer to other rotational effects.

Q5: How is torque related to power?
A: Power = Torque × Angular velocity. Higher torque at the same RPM means more power.

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