1. What is the Torque Formula?

The torque formula calculates the rotational force applied to an object. It is defined 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 formula:

Where:

• \( T \) — Torque (Newton-meters, Nm)
• \( F \) — Force applied (Newtons, N)
• \( r \) — Radius or lever arm length (meters, m)
• \( \theta \) — Angle between force vector and lever arm (degrees)

Explanation: The formula accounts for both the magnitude of the force and its effectiveness in producing rotation, which depends on the angle of application.

3. Importance of Torque Calculation

Details: Torque calculation is essential in mechanical engineering, physics, and various applications including automotive systems, machinery design, and structural analysis. It helps determine the rotational effect of forces on objects.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

Q2: What happens when the angle is 0 or 180 degrees?
A: At 0° or 180°, sin(θ) = 0, so torque is zero as the force is applied directly along the lever arm, producing no rotation.

Q3: How does torque relate to work and energy?
A: Torque is a rotational analog of force. The work done by torque is calculated as torque multiplied by the angular displacement (in radians).

Q4: What are common units for torque?
A: Newton-meters (Nm) in the SI system, and pound-feet (lb-ft) or pound-inches (lb-in) in the imperial system.

Q5: How is torque different from moment?
A: While often used interchangeably, torque specifically refers to rotational force, while moment is a more general term that can include bending moments and other force effects.