Angular Force Calculator

Angular force, often referred to as torque, is a measure of the force that can cause an object to rotate about an axis. It’s calculated as the product of the force applied and the distance from the pivot point (radius) at which the force is applied.

Force causes linear acceleration, while torque causes angular acceleration. Torque depends not just on the magnitude of the force but also on where the force is applied relative to the rotation axis.

The basic formula is: Torque (τ) = Force (F) × Radius (r) × sin(θ), where θ is the angle between the force vector and the lever arm. For perpendicular forces (90°), this simplifies to τ = F × r.

Angular force calculations are essential in designing gears, motors, engines, wrenches, seesaws, and any rotating machinery. They’re also used in biomechanics to understand joint movements.

Torque is maximized when the force is applied perpendicular to the lever arm (90°). At 0° or 180°, the torque is zero as the force is directed along the lever arm.