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  • Centripetal Acceleration: Understanding Acceleration in Circular Motion
    Yes, a particle can be accelerated when it has constant speed in a circular path. The acceleration is called centripetal acceleration. Centripetal acceleration is directed toward the center of the circular path and is given by the formula:

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

    where:

    - \(a_c\) is the centripetal acceleration in meters per second squared \(m/s^2\).

    - \(v\) is the speed of the particle in meters per second \(m/s\).

    - \(r\) is the radius of the circular path in meters \(m\).

    Centripetal acceleration is what causes a particle to move in a circular path. Without centripetal acceleration, the particle would move in a straight line.

    Although the particle's speed is constant, its velocity is not because the direction of its velocity is constantly changing. And that is what causes the centripetal acceleration.

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