1. What is Torque?

Torque is a measure of the force that can cause an object to rotate about an axis. It is a vector quantity, meaning it has both magnitude and direction. Torque 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 formula:

Where:

• \( T \) — Torque (Nm)
• \( F \) — Force applied (N)
• \( r \) — Distance from axis (m)
• \( \theta \) — Angle between force vector and lever arm (degrees)

Explanation: The formula calculates the rotational force applied to an object. The sine function accounts for the angle between the force vector and the lever arm, with maximum torque occurring when the force is perpendicular to the lever arm (θ = 90°).

3. Importance of Torque Calculation

Details: Accurate torque calculation is crucial in mechanical engineering, automotive design, construction, and many other fields where rotational forces need to be measured and controlled for proper functioning of mechanical systems.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between torque and force?
A: Force causes linear acceleration, while torque causes rotational acceleration. Torque is essentially the rotational equivalent of force.

Q2: Why is the angle important in torque calculation?
A: The angle determines how much of the applied force contributes to rotation. Only the component of force perpendicular to the lever arm creates torque.

Q3: 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.

Q4: When is torque maximum?
A: Torque is maximum when the force is applied perpendicular to the lever arm (at a 90-degree angle).

Q5: How does torque relate to power in engines?
A: In engines, torque represents the rotational force produced, while power is the rate at which work is done. Power = Torque × Angular Velocity.