An astronaut is in space, initially at rest. He then rotates a 1 kg mass around their head on a 2 meter long string. It rotates at a rate of 1 revolution per second in the counter-clockwise direction as shown. If the moment of inertia of the astronaut is 2 kg m^2, what will the angular velocity of the astronaut be?
An astronaut is in space, initially at rest. He then rotates a 1 kg mass around their head on a 2 meter long string. It rotates at a rate of 1 revolution per second in the counter-clockwise direction as shown. If the moment of inertia of the astronaut is 2 kg m^2, what will the angular velocity of the astronaut be?
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![An astronaut is in space, initially at rest. He then rotates a 1 kg mass
around their head on a 2 meter long string. It rotates at a rate of 1
revolution per second in the counter-clockwise direction as shown. If the
moment of inertia of the astronaut is 2 kg m^2, what will the angular
velocity of the astronaut be? *
O 0.5 rev/sec counter-clockwise
O 0.5 rev/sec clockwise
O 2 rev/sec counter-clockwise
2 rev/sec clockwise](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99de58f9-aee7-4d56-8d2d-2f719e0b71b6%2F68102ae5-349e-4646-b1c1-51ba2160ea95%2Fn14pnj_processed.png&w=3840&q=75)
Transcribed Image Text:An astronaut is in space, initially at rest. He then rotates a 1 kg mass
around their head on a 2 meter long string. It rotates at a rate of 1
revolution per second in the counter-clockwise direction as shown. If the
moment of inertia of the astronaut is 2 kg m^2, what will the angular
velocity of the astronaut be? *
O 0.5 rev/sec counter-clockwise
O 0.5 rev/sec clockwise
O 2 rev/sec counter-clockwise
2 rev/sec clockwise
Expert Solution
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Step 1
Given:
The mass of the rotating mass is 1 kg.
The length of the string is 2 m.
The rate of revolution is 1 cycle per second.
The moment of inertia is 2 kg.
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