A carousel – a horizontal rotating platform – of radius r is initially at rest, and then begins to accelerate constantly until it has reache

Question

A carousel – a horizontal rotating platform – of radius r is initially at rest, and then begins to accelerate constantly until it has reached angular velocity after 2 complete revolutions. What is the angular acceleration of the carousel during this time

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Cherry 4 years 2021-08-13T12:12:18+00:00 1 Answers 267 views 1

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  1. lethu
    0
    2021-08-13T12:13:31+00:00
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    Answer:

    α = (ω²)/8π

    Explanation:

    The angular acceleration(α) of the carousel can be determined by using rotational
    kinematics:

    ω² =ωo² + 2αθ

    Let’s make α the subject of this equation ;

    ω² – ωo² = 2αθ

    α = (ω² −ωo²)/2θ

    Now, from the question, since initially at rest, thus, ωo = 0

    Also,since 2 revolutions, thus, θ = 2 x 2π = 4π since one revolution is 2π

    Plugging in the relevant values to get ;

    α = (ω²)/2(4π)

    α = (ω²)/8π

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