An object travelling in a circle is accelerating ecause it is constantly changing ____________________.
An object travelling in a circle is accelerating ecause it is constantly changing direction.
Hope I helped.
Correct, in fact, the change is always directed towards the center if the object is in constant speed. Is it any wonder with the gravitation of Earth the moon is always falling toward Earth (it is).
But the Moon is slowly moving away from the Earth (3.8cm/year), isn't it?
An object traveling in a circle is accelerating because it is constantly changing its direction. This change in direction is referred to as the object's centripetal acceleration. To understand why this happens, you need to be familiar with the concept of centripetal force.
The centripetal force is the force that keeps an object moving in a circular path. In order for an object to move in a circle, it must have a force acting towards the center of the circle, pulling or pushing it inward. This centripetal force is always directed towards the center of the circle and is responsible for constantly changing the object's direction.
According to Newton's second law of motion, the net force acting on an object is equal to its mass multiplied by its acceleration. In the case of an object moving in a circle, the net force is provided by the centripetal force. Therefore, the centripetal force is equal to the mass of the object multiplied by its centripetal acceleration.
The centripetal acceleration, in turn, is defined as the rate of change of an object's velocity with respect to time. Since velocity is a vector quantity that includes speed and direction, any change in direction constitutes a change in velocity. This change in velocity causes the object to accelerate inward, towards the center of the circle.
To summarize, an object traveling in a circle is accelerating because it is constantly changing its direction. This change in direction is caused by the centripetal force, which is responsible for keeping the object moving in a circular path. The centripetal force produces a centripetal acceleration, resulting in the object's inward acceleration.