A uniform, solid, cylindrical flywheel of radius 1.4 m and mass 15 kg rotates at $2.7 \mathrm { rad } / \mathrm { s } \text {. }$ What is the magnitude of the flywheel's angular momentum? A) 40 kg ∙ m²/s B) 20 kg ∙ m²/s C) 80 kg ∙ m²/s D) 60 kg ∙ m²/s

Question

Quizplus · Accepted Answer

The angular momentum $ L $ of a solid cylinder is given by $ L = I \omega $, where $ I = \frac{1}{2} m r^2 $ is the moment of inertia. Substituting the given values, $ I = \frac{1}{2} \times 15 \, \text{kg} \times (1.4 \, \text{m})^2 = 14.7 \, \text{kg} \cdot \text{m}^2 $. Thus, $ L = 14.7 \, \text{kg} \cdot \text{m}^2 \times 2.7 \, \text{rad/s} = 39.69 \, \text{kg} \cdot \text{m}^2/\text{s} \approx 40 \, \text{kg} \cdot \text{m}^2/\text{s} $.

A Uniform, Solid, Cylindrical Flywheel of Radius 1 2.7rad/s. 2.7 \mathrm { rad } / \mathrm { s } \text {. }2.7rad/s.

A Uniform, Solid, Cylindrical Flywheel of Radius 1 $2.7 \mathrm { rad } / \mathrm { s } \text {. }$