What is the equation for calculating torque?

The equation for calculating torque is given by τ = rF sin θ. This equation reflects how torque is generated when a force is applied at a distance from a pivot point. In this context, τ represents the torque, r is the distance from the pivot point to the point of force application (also known as the moment arm), F is the magnitude of the force applied, and θ is the angle between the force vector and the line from the pivot point to the point of application.

This equation highlights that both the magnitude of the force and its effective application angle significantly influence the resulting torque. When the force is applied perpendicular to the moment arm (sin θ = 1), the torque reaches its maximum value. Conversely, if the force is applied parallel to the moment arm (sin θ = 0), no torque is produced.

Understanding this relationship is crucial for analyzing rotational dynamics in physical systems, particularly when considering how different forces impact the motion of objects around a pivot. In physics and engineering, knowing how to calculate torque is foundational for studying and designing systems involving rotational motion, such as levers, gears, and various machinery.