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**Exercise 9.44** **Problem Statement:** You need to design an industrial turntable with the following specifications: - Diameter: 65.0 cm - Kinetic energy: 0.270 J - Rotational speed: 43.0 rpm (revolutions per minute) **Part A:** Calculate the moment of inertia of the turntable about the rotation axis. - Express your answer in kilogram meters squared (\( \text{kg} \cdot \text{m}^2 \)). *Answer box for input.* **Part B:** If your workshop manufactures this turntable as a uniform solid disk, determine its mass. - Express your answer in kilograms (kg). *Answer box for input.* Note: This problem requires knowledge of rotational motion and the equations relating kinetic energy to moment of inertia. You may need to convert units where necessary. **Instructions:** 1. Calculate and input your answer for Part A. 2. Calculate and input your answer for Part B. 3. Click "Submit" after each part to verify your answers. *Copyright © 2020 Pearson Education Inc.*

**Exercise 9.44** **Problem Statement:** You need to design an industrial turntable with the following specifications: - Diameter: 65.0 cm - Kinetic energy: 0.270 J - Rotational speed: 43.0 rpm (revolutions per minute) **Part A:** Calculate the moment of inertia of the turntable about the rotation axis. - Express your answer in kilogram meters squared (\( \text{kg} \cdot \text{m}^2 \)). *Answer box for input.* **Part B:** If your workshop manufactures this turntable as a uniform solid disk, determine its mass. - Express your answer in kilograms (kg). *Answer box for input.* Note: This problem requires knowledge of rotational motion and the equations relating kinetic energy to moment of inertia. You may need to convert units where necessary. **Instructions:** 1. Calculate and input your answer for Part A. 2. Calculate and input your answer for Part B. 3. Click "Submit" after each part to verify your answers. *Copyright © 2020 Pearson Education Inc.*

College Physics
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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**Exercise 9.44** **Problem Statement:** You need to design an industrial turntable with the following specifications: - Diameter: 65.0 cm - Kinetic energy: 0.270 J - Rotational speed: 43.0 rpm (revolutions per minute) **Part A:** Calculate the moment of inertia of the turntable about the rotation axis. - Express your answer in kilogram meters squared (\( \text{kg} \cdot \text{m}^2 \)). *Answer box for input.* **Part B:** If your workshop manufactures this turntable as a uniform solid disk, determine its mass. - Express your answer in kilograms (kg). *Answer box for input.* Note: This problem requires knowledge of rotational motion and the equations relating kinetic energy to moment of inertia. You may need to convert units where necessary. **Instructions:** 1. Calculate and input your answer for Part A. 2. Calculate and input your answer for Part B. 3. Click "Submit" after each part to verify your answers. *Copyright © 2020 Pearson Education Inc.*
Transcribed Image Text:**Exercise 9.44** **Problem Statement:** You need to design an industrial turntable with the following specifications: - Diameter: 65.0 cm - Kinetic energy: 0.270 J - Rotational speed: 43.0 rpm (revolutions per minute) **Part A:** Calculate the moment of inertia of the turntable about the rotation axis. - Express your answer in kilogram meters squared (\( \text{kg} \cdot \text{m}^2 \)). *Answer box for input.* **Part B:** If your workshop manufactures this turntable as a uniform solid disk, determine its mass. - Express your answer in kilograms (kg). *Answer box for input.* Note: This problem requires knowledge of rotational motion and the equations relating kinetic energy to moment of inertia. You may need to convert units where necessary. **Instructions:** 1. Calculate and input your answer for Part A. 2. Calculate and input your answer for Part B. 3. Click "Submit" after each part to verify your answers. *Copyright © 2020 Pearson Education Inc.*
Expert Solution
Step 1

rotational Kinetic energy for an object of inertia I with angular frequency ω is

rotational Kinetic energy=K=(1/2)Iω2

Moment of inertia of solid disk=(1/2)MR2

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