Two gerbils run in place with a linear speed of 0.55 m/s on an exercise wheel that is shaped like a hoop. Find the rotational kinetic energy

Question

Two gerbils run in place with a linear speed of 0.55 m/s on an exercise wheel that is shaped like a hoop. Find the rotational kinetic energy of the wheel if the exercise wheel has a radius of 9.5 cm and a mass of 5.0 g. Each gerbil has a mass of 0.02 kg if you think that is important.

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Vân Khánh 6 months 2021-07-28T04:36:31+00:00 1 Answers 17 views 0

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    2021-07-28T04:38:22+00:00

    Answer:

     K = 7.56 10⁻⁴ J

    Explanation:

    The rotational kinetic energy is

            K = ½ I w²

    They ask us for the kinetic energy of the wheel, which can be approximated as a thin ring, its moment of inertia is

           

             I = M r²

    the linear speed of the gerbils is equal to the linear speed of the wheel. The linear and rotational variables are related

              v = w r

              w = v / r

       we substitute

             K = ½ (M r²) v² / r²

             K = ½ M v²

    let’s calculate

             K = ½ 5 10⁻³ 0.55²

             K = 7.56 10⁻⁴ J

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