Circular Motion: Why an Object Moves When Acceleration is Perpendicular

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An object moves in a circular path when acceleration is perpendicular to its velocity because this configuration maintains a constant speed while changing the direction of the velocity vector. Since acceleration alters velocity, and in circular motion, it points toward the center of the circle, this results in a continuous change in direction without altering speed. The relationship between velocity and acceleration in this context ensures that the object remains in circular motion. Understanding this principle is crucial for grasping the dynamics of uniform circular motion. The discussion emphasizes the importance of visualizing the vectors involved to comprehend the mechanics of circular motion.
songoku
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Why an object will move in circular when the acceleration is perpendicular to the velocity?
 
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If the acceleration is always perpendicular to the linear velocity, then the linear velocity will never change. That means that the acceleration is always a rotational acceleration.
 
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songoku said:
Why an object will move in circular when the acceleration is perpendicular to the velocity?
It may not be intuitive to you but read FactChecker's reply carefully (and rigorously). His argument is sufficient if you follow his logic.
 
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songoku said:
Why an object will move in circular when the acceleration is perpendicular to the velocity?

Acceleration causes a change in velocity. But velocity is a vector quantity with a magnitude (speed) and a direction. In circular motion with constant speed, the direction of the velocity is constantly changing and the change in velocity points toward the center of the circle. That is the direction of the acceleration.

Look at the diagram here: http://ibphysicsstuff.wikidot.com/uniform-circular-motion It shows the velocity vector at two different times as well as the difference v2 - v1 (the blue vector). If you imagine the two instances (blue dots) to be closer together, you can see that the difference vector would point toward the center, perpendicular to the velocity. That difference vector is in the direction of the acceleration.
 
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