A carousel has a radius of 1.70 m and a moment of inertia of 126 kg · m2 . A girl of mass 48.5 kg is standing at the edge of the carousel, w

Question

A carousel has a radius of 1.70 m and a moment of inertia of 126 kg · m2 . A girl of mass 48.5 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.00 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.0 rad/s. How far from the center did the girl stop?

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MichaelMet 5 years 2021-07-17T16:38:47+00:00 1 Answers 21 views 0

Answers ( )

  1. Tryphena
    0
    2021-07-17T16:40:46+00:00
    Reply

    The girl stopped 23.4 m  from the centre

    Explanation:

    According to the law of conservation of angular momentum

    We have the formula,

    l0w0=Iw

    I0=130+mr^2

    I=130+md^2

    Then substitute the values in the equation

    wo= 130×w0+mr²w0=130×w+md²w

    d={[130(w0-w)+mr²w0]/(mw)}^1/2

    d={[130(3.00-5.00)+ 48.5×1.705²×3.00] / (48.5×5)}^1/2

    d=23.4 m

    The girl stopped 23.4 m  from the centre

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