**Rotational Motion and Angular Momentum**In this educational exercise, we explore the concepts of angular velocity and angular momentum through a practical example involving a rotating disc.### Problem StatementA disc (thin cylinder) with the following properties:- Mass: 0.05 kg- Radius: 0.65 mThis disc is rotating on a frictionless axle at a constant rate of 77 RPM (revolutions per minute). We are tasked with determining:1. The angular velocity (\(\omega\)) in radians per second.2. The angular momentum (L) in kg·m²/s.**Formulas:**- Angular Velocity, \(\omega = \frac{\text{RPM} \times 2\pi}{60}\)- Angular Momentum, \(L = I \times \omega\) - Moment of Inertia for a disc, \(I = \frac{1}{2} m r^2\)### Additional ScenarioA second disc with the following properties:- Mass: 0.02 kg- Radius: 0.23 mThis second disc is dropped onto the first disc, and they rotate together. We need to find:1. The final angular velocity (\(\omega\)) of the system.2. The final RPM of the system.**Diagram Description:**The diagram depicts:- A vertical axle with a larger disc at the bottom rotating in a horizontal plane.- A smaller disc above, aligned to be dropped onto the larger disc.- An arrow indicating the direction of rotation.The diagram serves to illustrate the setup and interaction of the two discs in the experiment.

Given,A disc (thin cylinder)mass, m = 0.05 kgradius, r = 0.65 mrotating on a frictionless axel at a…

A disc (thin cylinder) of mass 0.05 kg and radius 0.65 m is rotating on a frictionless axle at a constant rate of 77 RPM. What a the angular velocity and angular momentum of the disc? W = rad/s L = kg-m2 A second disc of 0.02 kg and 0.23 m is dropped down the axle on top. The two then rotate together. What is the final angular velocity and RPM of the system of discs? rad/s RPM = RPM

A disc (thin cylinder) of mass 0.05 kg and radius 0.65 m is rotating on a frictionless axle at a constant rate of 77 RPM. What a the angular velocity and angular momentum of the disc? W = rad/s L = kg-m2 A second disc of 0.02 kg and 0.23 m is dropped down the axle on top. The two then rotate together. What is the final angular velocity and RPM of the system of discs? rad/s RPM = RPM

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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