Suppose a figure skater has gone into a spin with her arms extended, and she pulls them inward while re-distributing her mass to reduce her moment of inertia by 1.9 times, how much more rapidly does she spin?
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Suppose a figure skater has gone into a spin with her arms extended, and she pulls them inward while re-distributing her mass to reduce her moment of inertia by 1.9 times, how much more rapidly does she spin?
During a rotational motion of an object, the object possesses an angular momentum.
And if there is no net external torque acting on this rotational system, then according to the law of conservation of angular momentum, the total angular momentum of the rotating body remains constant.
This angular momentum of an object is given in terms of its angular velocity as
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- Four 100 g masses are mounted on a much lighter (assume massless) ring. The ring has a radius of 0.1 m. If the ring is to spin around an axis perpendicular to the plane of the ring and passing through its center, what is the moment of inertia? 0.004 kg m^2 0.04 kg m^2 0.001 kg m^2 0.01 kg m^2 0.002 kg m^2A 3.00-kg mass is placed at (2.00, 3.00) m, and a 4.50-kg mass is placed at (2.00, -3.00) m. What is the moment of inertia of this system of masses about the x-axis? (Take the rotational axis to be on the x-axis) 15 kg m² O 67.5 kg*m² O 30 kg*m² O 0kg*m² O97.5 kg*m²A 45 kg figure skater is spinning on the toes of her skates at 1.3 rev/s. Her arms are outstretched as far as they will go. In this orientation, the skater can be modeled as a cylindrical torso (40 kg, 20 cm average diameter, 160 cm tall) plus two rod-like arms (2.5 kg each, 71 cm long) attached to the outside of the torso. The skater then raises her arms straight above her head. In this latter orientation, she can be modeled as a 45 kg, 20-cm-diameter, 200-cm-tall cylinder. Part A What is her new rotation frequency, in revolutions per second? Express your answer in revolutions per second. ► View Available Hint(s) W₂ Submit Provide Feedback ΑΣΦ ? rev/s
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- A playground merry-go-round, with radius 1.5 m and moment of inertia 72 kg m2, rotates with an angular speed 2.3 rad/s. A boy (mass 34 kg), initially at rest, hops onto the outer edge of the merry-go round. What is the new angular speed (in rad/s) just after the boy has jumped on?Suppose a figure skater has gone into a spin with her arms extended, and she pulls them inward while re-distributing her mass to reduce her moment of inertia by 2.2 times, how much more rapidly does she spin?A figure skater has a mass of 65 kg and an angular momentum of 200 kg*m2/s during a camel spin. During this spin, the average radius of gyration changes from 0.33 meters to 0.65 meters in 0.62 seconds. What is the figure skater’s average angular acceleration in degrees/s2 during this 0.62 seconds?