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12 December, 12:12

A rotating platform of radius r = 2.7 cm starts from rest and accelerates with uniform angular acceleration α = 38 rad/s2. randomized variables r = 2.7 cm α = 38 rad/s2 33% part (a) write an expression that gives the centripetal acceleration on the edge of the platform as a function of time, ac (t).

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  1. 12 December, 14:37
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    r = radius

    α = angular acceleration

    t = time

    w₀ = initial angular velocity = 0 rad/s

    w (t) = angular velocity at any time "t"

    Angular velocity at any time is given as

    w (t) = w₀ + α t

    w (t) = α t since w₀ = 0

    w (t) = α t eq-1

    centripetal acceleration at any time is given as

    a (t) = r w² (t)

    using eq-1

    a (t) = r (α t) ²

    a (t) = r α² t²
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