Uniform circular motion is defined as the movement of an object along a circular path at a constant speed. The object's velocity is always tangential to the circular path and its magnitude remains constant throughout the motion.
The centripetal force in uniform circular motion is the force that acts towards the center of the circular path and keeps the object moving in a circular motion. It is responsible for changing the direction of the object's velocity, but not its magnitude.
The mass of an object does not affect its uniform circular motion. The object's velocity is dependent on the radius of the circular path and the centripetal force, not its mass. However, the centripetal force required to keep the object in uniform circular motion may vary based on the mass of the object.
In uniform circular motion, the radius of the circular path and the velocity of the object are inversely proportional. This means that as the radius increases, the velocity decreases and vice versa. This relationship is described by the formula v = ωr, where v is velocity, ω is angular velocity, and r is radius.
If the centripetal force is not sufficient to keep the object in uniform circular motion, the object will move away from the circular path and into a more linear motion. This can result in the object flying off the circular path or deviating from the intended path.