In uniform circular motion, the torque is zero because the net force acting on the object is directed towards the center of the circle, resulting in no angular acceleration. Torque is defined as the tendency of a body to rotate about an axis, mathematically expressed as τ = r x F, where r is the distance from the pivot point and F is the force applied. The force in uniform circular motion acts centripetally, while the distance r is always directed radially inward. Understanding this relationship clarifies why torque does not contribute to the motion of an object in uniform circular motion. This concept is essential for grasping the dynamics of rotational motion.