A 56-kg dynamics instructor is demonstrating the principles of angular momentum to her class. She stands on a freely rotating platform with her body aligned with the vertical platform axis. With the platform not rotating, she holds a modified bicycle wheel so that its axis is vertical. She then turns the wheel axis 180° with respect to its initial vertical position without changing the 565-mm distance from the centerline of her body to the wheel center. The rim-weighted wheel has a mass of 14 kg and a centroidal radius of gyration of 325 mm and is spinning at a fairly constant rate of 247 rev/min. The instructor has a mass moment of inertia / = 3.57 kg-m² about the vertical platform axis. What rotational speed do the students observe with the wheel in this new position? 565 mm Answer: N = i ! rev/min

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Chapter1: Units, Trigonometry. And Vectors
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A 56-kg dynamics instructor is demonstrating the principles of angular momentum to her class. She stands on a freely rotating
platform with her body aligned with the vertical platform axis. With the platform not rotating, she holds a modified bicycle
wheel so that its axis is vertical. She then turns the wheel axis 180° with respect to its initial vertical position without changing
the 565-mm distance from the centerline of her body to the wheel center. The rim-weighted wheel has a mass of 14 kg and a
centroidal radius of gyration of 325 mm and is spinning at a fairly constant rate of 247 rev/min. The instructor has a mass
moment of inertia / = 3.57 kg-m² about the vertical platform axis. What rotational speed do the students observe with the
wheel in this new position?
565
mm
Answer: N = i
! rev/min
Transcribed Image Text:A 56-kg dynamics instructor is demonstrating the principles of angular momentum to her class. She stands on a freely rotating platform with her body aligned with the vertical platform axis. With the platform not rotating, she holds a modified bicycle wheel so that its axis is vertical. She then turns the wheel axis 180° with respect to its initial vertical position without changing the 565-mm distance from the centerline of her body to the wheel center. The rim-weighted wheel has a mass of 14 kg and a centroidal radius of gyration of 325 mm and is spinning at a fairly constant rate of 247 rev/min. The instructor has a mass moment of inertia / = 3.57 kg-m² about the vertical platform axis. What rotational speed do the students observe with the wheel in this new position? 565 mm Answer: N = i ! rev/min
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