Uniform circular motion is a type of motion in which an object moves in a circular path at a constant speed. This means that the object's velocity remains constant, but its direction changes continuously, resulting in a circular motion.
In uniform circular motion, the velocity can be calculated using the formula v = 2πr/T, where v is the velocity, r is the radius of the circular path, and T is the time it takes for the object to complete one full revolution.
Centripetal force is the force that keeps an object in circular motion. It is always directed towards the center of the circular path and is equal to the mass of the object multiplied by the square of its velocity divided by the radius of the circular path, or F = mv²/r.
In uniform circular motion, the centripetal force is responsible for continuously changing the direction of the object's velocity so that it remains in a circular path. Without centripetal force, the object would move in a straight line instead of a circle.
The main difference between uniform and non-uniform circular motion is in the object's speed. In uniform circular motion, the speed remains constant, while in non-uniform circular motion, the speed changes at different points along the circular path. This means that the velocity in non-uniform circular motion is not constant, unlike in uniform circular motion.