Why an object moving in circular path with constant speed has acceleration?
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ChatGPT
Apr 18
An object moving in a circular path with constant speed has acceleration because acceleration is defined as any change in velocity, including changes in direction. In this case, even though the speed of the object remains constant, its velocity is constantly changing because it is changing direction as it moves in a circular path. This change in velocity is what causes the object to have acceleration, known as centripetal acceleration, which is directed towards the center of the circle.
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Google Gemini AI
Apr 18
An object moving in a circular path with constant speed does indeed have acceleration. This is because acceleration is defined as the rate of change of velocity, and velocity is a vector quantity that includes both speed and direction. When an object moves in a circle, its direction is constantly changing, even though its speed is constant. This means that the object is accelerating.
The direction of the acceleration vector is always towards the center of the circle. This is because the object is constantly changing direction towards the center of the circle. The magnitude of the acceleration vector is equal to the square of the speed of the object divided by the radius of the circle.
The acceleration of an object moving in a circular path is called centripetal acceleration. Centripetal acceleration is what keeps the object moving in a circle. Without centripetal acceleration, the object would fly off in a straight line.