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Moment of Inertia and Angular Momentum — Homework

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Moment of Inertia and Angular Momentum — Homework

Watch for the square in I=m*r^2, and confirm angular momentum (not angular velocity) is what stays constant.

  1. 1.Find the moment of inertia of a 4 kg point mass located 0.25 m from the rotation axis.
  2. 2.A skater with moment of inertia 8 kg*m^2 spins at 2 rad/s with arms out, then pulls in to a moment of inertia of 4 kg*m^2. Find the new angular velocity.
  3. 3.An object with moment of inertia 2 kg*m^2 spins at 5 rad/s. Find its rotational kinetic energy.
  4. 4.Explain why a spinning ice skater speeds up when pulling their arms in, using conservation of angular momentum.
  5. 5.Describe a real rotational example (a diver tucking into a spin, a gymnast, a spinning office chair demonstration) and connect it to conservation of angular momentum.
🌲 Homeschool of the FutureEleventh Grade · Science · week 23 homework