On average, both arms and hands together account for 13% of a person's mass, while the head is 7.0% and the trunk and legs account for 80%. We can model a spinning skater with her arms outstretched as a vertical cylinder (head, trunk, and legs) with two solid uniform rods (arms and hands) extended horizontally. Suppose a 61.0 kg skater is 1.50 m tall, has arms that are each 64.0 cm long (including the hands) and a trunk that can be modeled as being 32.0 cm in diameter. The skater is initially spinning at 66.0 rpm with her arms outstretched. What will her angular velocity @2 be (in rpm) after she pulls in her arms and holds them tightly against her trunk? Assume negligible friction between the skater and the ice. @2 = rpm

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On average, both arms and hands together account for 13% of a person's mass, while the head is 7.0% and the trunk and legs
account for 80%. We can model a spinning skater with her arms outstretched as a vertical cylinder (head, trunk, and legs) with
two solid uniform rods (arms and hands) extended horizontally.
Suppose a 61.0 kg skater is 1.50 m tall, has arms that are each 64.0 cm long (including the hands) and a trunk that can be
modeled as being 32.0 cm in diameter. The skater is initially spinning at 66.0 rpm with her arms outstretched.
What will her angular velocity @₂ be (in rpm) after she pulls
in her arms and holds them tightly against her trunk?
Assume negligible friction between the skater and the ice.
@2 =
rpm
Transcribed Image Text:On average, both arms and hands together account for 13% of a person's mass, while the head is 7.0% and the trunk and legs account for 80%. We can model a spinning skater with her arms outstretched as a vertical cylinder (head, trunk, and legs) with two solid uniform rods (arms and hands) extended horizontally. Suppose a 61.0 kg skater is 1.50 m tall, has arms that are each 64.0 cm long (including the hands) and a trunk that can be modeled as being 32.0 cm in diameter. The skater is initially spinning at 66.0 rpm with her arms outstretched. What will her angular velocity @₂ be (in rpm) after she pulls in her arms and holds them tightly against her trunk? Assume negligible friction between the skater and the ice. @2 = rpm
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