What is Torque and How Does it Relate to Uniform Circular Motion?

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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.
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If an object is undergoing uniform circular motion then the torque of the object is zero. this i'snt a homework question but I'm just trying to understand this concept and why this is. can anyone give me a good definition of torque?
 
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Torque is like the tendency of a body to rotate about some point or axis. In vector form it is defined as τ= r x F where x is the cross product (the same as τ=|r||F|sinθ n where n is a unit vector) . In scalar form it would be torque = force * perpendicular distance from pivot point.

In uniform circular motion, the particle is rotating about the center of the circle. In what direction is the force acting and in what direction is the distance r(distance from center of rotation or particle)? (towards center, away from center, tangential, etc.)
 


thanks for your help!
 
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