Answer to Question #184486 in Physics for Makaia Hill

Question #184486

A Yo-Yo with a diameter of 0.10 m with a mass of 0.2 kg spins at 5000 rpms with a Torque of 40 Nm. What would its Angular Momentum be?


1
Expert's answer
2021-04-28T13:04:22-0400

Find the moment of inertia:


I=12mr2.I=\frac12 mr^2.

The angular momentum is


L=Iω=12mr2ω=12mr22πn=mnπr2, L=0.2(5000/60)3.140.052=0.13 kgm2/s.L=I\omega=\frac12 mr^2 \omega=\frac12 mr^2 ·2\pi n=mn\pi r^2,\\\space\\ L=0.2·(5000/60)·3.14·0.05^2=0.13\text{ kg}·\text{m}^2/\text{s}.


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