**Problem Description:**Several children were playing on a merry-go-round at a playground. At this time, the merry-go-round (and children) had a moment of inertia of 170 kg·m² and a rotational speed of 4.1 rev/s. When two more children jumped onto the merry-go-round, the rotational speed dropped to 2.3 rev/s. What was the new moment of inertia?---**Options for the New Moment of Inertia (Iₓ):**A. 266.2 kg·m² B. 277.9 kg·m² C. 303.1 kg·m² D. 289.4 kg·m² E. 235.3 kg·m² F. 252.1 kg·m² ---**Explanation:**To find the new moment of inertia, use the conservation of angular momentum. The initial angular momentum (L₁) and final angular momentum (L₂) should be equal.Initial angular momentum: \( L₁ = I₁ \times \omega₁ \) where \( I₁ = 170 \, \text{kg} \cdot \text{m}² \) and \( \omega₁ = 4.1 \, \text{rev/s} \).Final angular momentum: \( L₂ = I₂ \times \omega₂ \) where \( \omega₂ = 2.3 \, \text{rev/s} \).Equating L₁ and L₂: \( I₁ \times \omega₁ = I₂ \times \omega₂ \)Solve for \( I₂ \): \( I₂ = \frac{I₁ \times \omega₁}{\omega₂} = \frac{170 \times 4.1}{2.3} \)Calculate to find the correct answer from the options provided.

Given, the initial moment of inertia of the system, Ii=170 kg.m2 Initial angular velocity, ωi=4.1…

Several children were playing on a merry-go-round at a playground. At this time, the merry-go-round (and children) had moment of inertia 170 kg-m? and rotational speed 4.1 rev/s. When two more children jumped onto the merry-go-round, the rotational speed dropped to 2.3 rev/s. What was the new moment of inertia? A. 266.2.kg-m2 B. 277.9 kg-m? C. 289.4 kg-m? 235.3.kg-m? F. D. E. 303 kg-m? 252.1 kg-m?

Several children were playing on a merry-go-round at a playground. At this time, the merry-go-round (and children) had moment of inertia 170 kg-m? and rotational speed 4.1 rev/s. When two more children jumped onto the merry-go-round, the rotational speed dropped to 2.3 rev/s. What was the new moment of inertia? A. 266.2.kg-m2 B. 277.9 kg-m? C. 289.4 kg-m? 235.3.kg-m? F. D. E. 303 kg-m? 252.1 kg-m?

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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