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Torque Calculator

Torque Formula:

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

newtons (N)
meters (m)
degrees

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1. What is Torque?

Torque is a measure of the rotational force applied to an object. It's the product of force and the perpendicular distance from the axis of rotation to the line of action of the force. Torque is crucial in mechanical systems, engines, and any application involving rotation.

2. How Does the Calculator Work?

The calculator uses the torque formula:

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

Where:

Explanation: The sine function accounts for the fact that only the perpendicular component of the force contributes to torque. Maximum torque occurs at 90°.

3. Importance of Torque Calculation

Details: Torque calculations are essential in mechanical engineering, automotive design, and any rotating machinery. Proper torque ensures efficient power transmission and prevents mechanical failures.

4. Using the Calculator

Tips: Enter force in newtons, distance in meters, and angle in degrees (0-180). For maximum torque, use 90° angle. All values must be positive.

5. Frequently Asked Questions (FAQ)

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

Q2: Why does angle affect torque?
A: Only the perpendicular component of force contributes to rotation. At 0° or 180°, there's no torque.

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

Q4: How is torque related to power?
A: Power = Torque × Angular velocity. More torque at same RPM means more power.

Q5: What's a real-world example of torque?
A: When using a wrench, the torque depends on how hard you pull (force) and how long the wrench is (distance).

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