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
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
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 kgm2.

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