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24 February, 13:40

A particle moves in a circular path of radius 0.10 m with a constant angular speed of 5 rev/s. The acceleration of the particle is: A. 0.10p m/s2 B. 0.50 m/s2 C. 500p m/s2 D. 1000p2 m/s2 E. 10p2 m/s2

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  1. 24 February, 13:43
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    2.5 m/s²

    Explanation:

    Acceleration: This can be defined as the rate of change of velocity.

    The S. I unit of acceleration is m/s²

    For circular motion, the expression for acceleration is given as,

    a = ω²r ... Equation 1

    Where a = acceleration of the particle, ω = angular speed of the particle, r = radius of the circular path.

    Given: ω = 5 rev/s = 31.42 rad/s, r = 0.10 m.

    Substitute into equation 1

    a = 5² (0.10)

    a = 25 (0.10)

    a = 2.5 m/s²

    Hence the acceleration of the particle = 2.5 m/s²

    Hence, none of the option is correct
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