Uniform circular motion refers to the motion of an object traveling in a circular path at a constant speed. In this type of motion, the object covers equal distances in equal intervals of time. One common example is a satellite orbiting the Earth. The speed of the satellite remains constant, but its direction continuously changes as it moves in a circular path around the planet.

Uniform circular motion involves several key concepts, including speed, radius, and period. The speed of an object in uniform circular motion is given by the formula: v = (2πr) / T, where v is the speed, r is the radius of the circular path, and T is the time taken to complete one full revolution.

The period, T, is the time it takes for an object to complete one full revolution. It is related to the frequency, f, of the motion through the equation: T = 1 / f. The frequency represents the number of revolutions made per unit of time.

Centripetal acceleration is another important aspect of uniform circular motion. It is the acceleration directed towards the center of the circular path, which keeps the object moving in a circular trajectory. The magnitude of the centripetal acceleration can be calculated using the formula: ac = (v^2) / r, where ac is the centripetal acceleration, v is the speed, and r is the radius of the circular path.