An astronaut (moment of inertia about her spin axis ) drifts in space at rest…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

An astronaut (moment of inertia about her spin axis

I=45\,\text{kg}\cdot\text{m}^2

) drifts in space at rest relative to the stars. She throws a

2.0\,\text{kg}

wrench tangentially so that the wrench’s center of mass moves at

5.0\,\text{m}\!\cdot\!\text{s}^{-1}

in a circle of radius

0.60\,\text{m}

about her spin axis. Neglect all external torques. Determine the astronaut’s angular speed immediately after the throw.