The law of acceleration, often referred to as Newton's Second Law of Motion, does apply to objects in circular motion. However, it's important to understand how it works in this specific case.

Here's why and how it applies:

* Circular Motion Requires Acceleration: An object moving in a circle is constantly changing direction. Since velocity is a vector (magnitude and direction), a change in direction means a change in velocity, and a change in velocity means acceleration.

* Centripetal Acceleration: This acceleration is directed towards the center of the circle. It's called centripetal acceleration and is responsible for keeping the object moving in a circular path.

* Newton's Second Law: The law states that the net force acting on an object is equal to its mass multiplied by its acceleration: F = ma. In circular motion, the net force acting on the object is the centripetal force, and the acceleration is the centripetal acceleration.

Key Points:

* The direction of the acceleration is always towards the center of the circle.

* The magnitude of the acceleration depends on the object's speed and the radius of the circle. A larger speed or a smaller radius results in a larger centripetal acceleration.

* The acceleration is present even if the object's speed is constant. This is because the direction of the velocity is changing continuously.

Example: A car driving in a circle at a constant speed is still accelerating because its direction is changing. The force responsible for this acceleration is the friction between the tires and the road.

In summary: Newton's Second Law applies to objects in circular motion, and the acceleration in this case is centripetal acceleration, which is always directed towards the center of the circle.