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  • Understanding and Modifying Centripetal Acceleration
    Centripetal acceleration can be changed by changing the speed of the object, changing the radius of the circular path, or both.

    * Changing the speed of the object: If the speed of the object is increased, the centripetal acceleration will increase. If the speed of the object is decreased, the centripetal acceleration will decrease.

    * Changing the radius of the circular path: If the radius of the circular path is decreased, the centripetal acceleration will increase. If the radius of the circular path is increased, the centripetal acceleration will decrease.

    The relationship between centripetal acceleration, speed, and radius is given by the following equation:

    $$a_c = \frac{v^2}{r}$$

    Where:

    * \(a_c\) is the centripetal acceleration in m/s^2

    * \(v\) is the speed of the object in m/s

    * \(r\) is the radius of the circular path in meters

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