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Engineers redesign a cars wheels with the goal of

Engineers redesign a car's wheels with the goal of decreasing eachwheel's angular momentum by 30% for a given linear speed for the car. Other design considerations require that the wheel diameter gofrom 38 {\rm cm} to 36 cm.If the old wheel had a rotational inertia of0. 36 kg \cdot m^2, what must be the new wheel's rotational inertia ifthe engineers are to achieve their goal?

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