**Problem Statement:**A playground roundabout has a mass of 136 kg and a radius of 1.60 m and it is rotating with an angular velocity of 0.590 revolutions per second (rev/s). What is its angular velocity after a 19.0 kg child gets onto it by grabbing its outer edge? The child is initially at rest.**User Input:**- Angular Velocity: 0.462 revolutions per minute (rpm)**Feedback:**- Response: Incorrect.- Attempts: 1 out of 10 **Additional Options:**- Link: Previous Tries---**Explanation:**The problem involves the conservation of angular momentum. Initially, the roundabout is spinning with a certain angular velocity. When the child, who is initially at rest, gets onto the roundabout, the system's total angular momentum must be conserved.**Steps for Solution:**1. **Identify Initial Conditions:** - Mass of roundabout = 136 kg - Radius of roundabout = 1.60 m - Initial angular velocity = 0.590 rev/s2. **Include the Child's Mass:** - Mass of child = 19.0 kg3. **Apply Conservation of Angular Momentum:** - \( L_{initial} = L_{final} \) - \( I_{roundabout} \times \omega_{initial} = (I_{roundabout} + I_{child}) \times \omega_{final} \)4. **Solve for Final Angular Velocity:** - Convert units and calculate accordingly.This exercise helps reinforce concepts of rotational motion and conservation laws in physics.

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Ap Previous content resource ound has a mass of 136 kg and a radius of 1.60 m and it is rotating with an angular velocity of 0.590 rev/s. What is its angular velocity after a 19.0-kg child gets onto it by grabbing its outer edge? The child is initially at rest. 0.462 rpm Submit Answer Incorrect. Tries 1/10 Previous Tries

Ap Previous content resource ound has a mass of 136 kg and a radius of 1.60 m and it is rotating with an angular velocity of 0.590 rev/s. What is its angular velocity after a 19.0-kg child gets onto it by grabbing its outer edge? The child is initially at rest. 0.462 rpm Submit Answer Incorrect. Tries 1/10 Previous Tries

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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