Define uniform circular motion.

Uniform circular motion is the motion of an object moving in a circular path at a constant speed.

Uniform circular motion is a type of motion where an object moves in a circular path at a constant speed. The object moves in a circular path because there is a force acting on it, which is always perpendicular to the direction of motion. This force is called the centripetal force, and it is responsible for keeping the object moving in a circular path.

The speed of the object in uniform circular motion is constant, but its velocity is constantly changing because the direction of motion is changing. The velocity of the object is always tangent to the circular path, and it changes direction as the object moves around the circle. The acceleration of the object is also constantly changing because the direction of the centripetal force is changing. The magnitude of the acceleration is given by the formula:

a = v^2/r

where a is the acceleration, v is the speed of the object, and r is the radius of the circular path.

Uniform circular motion is an important concept in physics and engineering, as it is used to describe the motion of objects such as planets, satellites, and cars moving around a curve. It is also used in the design of roller coasters and other amusement park rides.