Torque Calculator

Understanding Rotational Force

Torque is the measure of the rotational force on an object, essentially the twisting equivalent of linear force. This calculator finds the torque by multiplying the applied force by the perpendicular distance from the pivot point (the lever arm). It's a key calculation in physics and mechanical engineering.

The Torque Formula Explained

The formula for torque is: τ = F × r

• τ (Torque): The rotational force, measured in Newton-meters (N·m).
• F (Force): The linear force applied, measured in Newtons (N).
• r (Distance): The length of the lever arm (the distance from the pivot point to where the force is applied), measured in meters (m).

How to Use the Calculator

1. Force (N): Enter the amount of force applied in Newtons.
2. Lever Arm Distance (m): Enter the distance from the pivot in meters.
3. Calculate: The tool will display the resulting torque in Newton-meters.

Real-World Example

You are using a wrench that is 0.3 meters long to tighten a bolt. You apply 50 Newtons of force to the end of the wrench.

• Force (F): 50 N
• Distance (r): 0.3 m
• Calculation: Torque = 50 N * 0.3 m = 15 N·m
• You are applying 15 Newton-meters of torque to the bolt.

Frequently Asked Questions (FAQ)

• What if the force is not perpendicular to the lever arm? The formula τ = F × r assumes the force is applied at a 90-degree angle to the lever. If it's applied at an angle (θ), the formula becomes τ = F × r × sin(θ). This calculator uses the simplified perpendicular case.
• What are other units for torque? Besides Newton-meters (N·m), torque is also commonly measured in pound-feet (lb-ft) or inch-pounds (in-lb). Our Torque Converter can switch between these units.
• How is this different from 'Work'? Work is force applied over a linear distance (Work = Force × Distance). Torque is force applied at a distance from a pivot to cause rotation. They have similar-looking formulas but represent different physical concepts.