While an object moving in uniform circular motion maintains a constant speed, there is still a force necessary to keep it in motion. This force, known as the centripetal force, acts towards the center of the circular path and provides the necessary acceleration to keep the object moving in a circular trajectory. Without this force, the object would continue in a straight line due to inertia.
Here's a simple example: Consider a ball attached to a string and swung in a circular motion. The tension in the string provides the centripetal force that keeps the ball moving in a circular path. If the string were to break, the ball would no longer be subject to this force and would fly off in a straight line tangent to the circular path.