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- An object traveling in a circle has its velocity
- vector tangent to the circle. The acceleration vector
- does not necessarily point in the same direction; in
- general, it can be broken down into the two
- components of radial acceleration, acceleration
- along the radius at that point, and tangential
- acceleration, acceleration in a direction tangent
- to the path at that point.
- If an object is traveling with uniform circular
- motion, the speed of the object is constant. For the
- speed to remain constant, the tangential acceleration
- must be 0. The acceleration can then be attributed
- entirely to the radial or centripetal
- acceleration, with magnitude given by .
-
- The derivation of this formula involves calculus and
- is beyond the scope of this material.
- Since force is mass times acceleration, centripetal force is given by .
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