The mass moment of inertia I of a disk is given by 1=1m²², where m is the mass of the disk and r is the radius. Consider a steel disk with a density of 7,800 kg and a thickness of 1 cm. When r = 10 cm, what is the volume (in m³) of the steel disk? When r = 10 cm, what is the mass (in kg) of the steel disk? kg When r = 10 cm, what is the mass moment of inertia (in kg - m²)? kg-m² Similarly, obtain the rest of the volumes (in m³), mass (in kg), and I (in kg. m²) values to fill in the blanks in the table below. r (m) volume (m³) 0.10 0.11 0.12 0.13 mass (kg) I= 1 = mr² (kg - m²) .

The mass moment of inertia I of a disk is given by 1=1m²², where m is the mass of the disk and r is the radius. Consider a steel disk with a density of 7,800 kg and a thickness of 1 cm. When r = 10 cm, what is the volume (in m³) of the steel disk? When r = 10 cm, what is the mass (in kg) of the steel disk? kg When r = 10 cm, what is the mass moment of inertia (in kg - m²)? kg-m² Similarly, obtain the rest of the volumes (in m³), mass (in kg), and I (in kg. m²) values to fill in the blanks in the table below. r (m) volume (m³) 0.10 0.11 0.12 0.13 mass (kg) I= 1 = mr² (kg - m²) .

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

Create a graph that shows I as a function of r for the steel disk. (Select the correct graph.)
I (kg.m²)
I (kg-m²)
O
0.6
0.5
0.4
0.3
0.2
0.1
0.15
0.2
0.25
r (m)
no
0.6
0.5
0.4
0.3
0.2
0.1
0.15
0.2
0.25
r (m)
1 (kg-m²)
0.6
0.5
0.4
0.3
0.2
0.1
0.15
0.2
r (m)
0.25
1 (kg-m²)
0.6
0.5
0.4
E
0.3
0.2
0.1
0.15
0.2
0.25
r (m)

The mass moment of inertia I of a disk is given by
I
1=21mr²,
where m is the mass of the disk and r is the radius. Consider a steel disk with a density of 7,800 kg and a thickness of 1 cm.
When r = 10 cm, what is the volume (in m³) of the steel disk?
m³
When r = 10 cm, what is the mass (in kg) of the steel disk?
kg
When r = 10 cm, what is the mass moment of inertia (in kg. m²)?
kg-m²
Similarly, obtain the rest of the volumes (in m³), mass (in kg), and I (in kg. m²) values to fill in the blanks in the table below.
I=//mr²
(kg-m²)
r (m)
0.10
0.11
0.12
0.13
0.14
0.15
0.16
0.17
0.18
0.19
0.20
0.21
0.22
0.23
0.24
0.25
volume (m³) mass (kg)
100

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Step 1: Given Data

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Step 2: Calculation for Volume, mass, and mass moment of Inertia

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Step 3: Calculation for radius r= 0.11 m

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Step 4: Calculation for radius r= 0.12 m

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Step 5: Calculation for radius r= 0.13 m

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