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30 January, 02:18

In the equation for centripetal force, which expression represents the centripetal acceleration of the object?

o mv²

oo 0 0

Nabi

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Alo

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  1. 30 January, 03:44
    0
    The expression represents the centripetal acceleration of the object is, a = v²/r

    Explanation:

    The centripetal force is experienced by the body when the body moves in a curved path.

    Let the object of mass 'm' moves in a circular path of radius 'r' with the tangential velocity 'v'. Then the centripetal force acting on the body is given by the expression,

    F = mv²/r

    This centripetal force is directed along the radius of the circular path.

    Comparing the centripetal force with the linear force equation,

    F = ma

    And comparing the terms, it is clear that

    a = v²/r

    Hence, the expression represents the centripetal acceleration of the object is, a = v²/r
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