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A wheel of radius R starts from rest and accelerates with a constant angular acceleration alpha about a fixed axis. At what time t, will the centripetal and tangential accelerations of a point on the rim have the same magnitude?

  • Physics -

    When alpha*R = V^2/R = (R*alpha*t)2/R
    alpha*R = R*(alpha*t)^2

    1 = alpha*t^2

    t = 1/sqrt(alpha)

    (independent of R)

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