**Problem Description:**A uniform disk of mass 2.31 kg has a radius of 0.100 m and spins with a frequency of 0.550 revolutions per second. What is its angular momentum?**Answer Box:**\[ \boxed{\phantom{0}} \, \text{kg} \cdot \text{m}^2/\text{s} \]**Explanation:**To find the angular momentum \( L \) of the disk, use the formula: \[ L = I \cdot \omega \]where \( I \) is the moment of inertia and \( \omega \) is the angular velocity in radians per second.For a uniform disk, the moment of inertia \( I \) is given by:\[ I = \frac{1}{2} m r^2 \]where \( m = 2.31 \, \text{kg} \) is the mass of the disk and \( r = 0.100 \, \text{m} \) is the radius.The angular velocity \( \omega \) in radians per second can be calculated from the frequency \( f = 0.550 \, \text{rev/s} \) using the conversion:\[ \omega = 2\pi f \]Substitute the given values into the equations to compute the angular momentum.

Angular momentum of the uniform disk is L=Iω=12mr2ωSubstitute L=122.31 kg0.100 m20.550 revs×2πradrev=0.0399 kg m2s

Answered: A uniform disk of mass 2.31 kg has a…

A uniform disk of mass 2.31 kg has a radius of 0.100 m and spins with a frequency of 0.550 rev/s. What is its angular momentum? kg-m2/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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