Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
Question
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Chapter 6.2, Problem 43E

a.

To determine

To find: the direction in which rollers B and C turns.

a.

Expert Solution
Check Mark

Answer to Problem 43E

Direction of roller B = Clockwise

Direction of roller C = Counter-clockwise

Explanation of Solution

Given information:

Roller A turns counter-clockwise.

The side view of three rollers tangent to each other is shown below in the figure.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 6.2, Problem 43E , additional homework tip  1

Calculation:

The direction of rotation of roller A will be opposite to that of roller B but same as that of roller C . So, if roller A turns counter-clockwise, then the roller B will turn clockwise and roller C will turn in counter-clockwise direction.

b.

To determine

To find: the angular velocity (in rpm) of rollers B and C .

b.

Expert Solution
Check Mark

Answer to Problem 43E

Roller B : 180 rpm

Roller C : 75 rpm

Explanation of Solution

Given information:

The side view of three rollers tangent to each other is shown below in the figure.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 6.2, Problem 43E , additional homework tip  2

Angular velocity of roller A (ω)=120 revolutions per minute

Calculation:

The radius of roller A , B and C given in the figure is 3.0cm, 2.0 cm, and 4.8 cm respectively.

The linear velocity of all the rollers will be same which can be evaluated as follows:

  v=rω=(3)(120)                                     [Put r=3 cm for roller A]=360 rpm

Thus the linear velocity of all the three rollers is 360 rpm.

The angular velocity (ωB) of roller B is evaluated as follows:

  vB=rBωB360=(2)ωB                                     [Put vB=360 rpm and rB=2 cm]ωB=3602=180 rpm

Thus the angular velocity of roller B is 180 rpm.

The angular velocity (ωC) of roller C is evaluated as follows:

  vC=rCωC360=(4.8)ωC                                     [Put vC=360 rpm and rC=4.8 cm]ωC=3604.8=75 rpm

Thus the angular velocity of roller C is 75 rpm.

Chapter 6 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 6.1 - Prob. 11CFUCh. 6.1 - Prob. 12CFUCh. 6.1 - Prob. 13CFUCh. 6.1 - Prob. 14CFUCh. 6.1 - Prob. 15CFUCh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Prob. 21ECh. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Prob. 36ECh. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Prob. 41ECh. 6.1 - Prob. 42ECh. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Prob. 48ECh. 6.1 - Prob. 49ECh. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.1 - Prob. 59ECh. 6.1 - Prob. 60ECh. 6.1 - Prob. 61ECh. 6.1 - Prob. 62ECh. 6.1 - 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Prob. 10MCQCh. 6.5 - Prob. 1GCECh. 6.5 - Prob. 2GCECh. 6.5 - Prob. 3GCECh. 6.5 - Prob. 1CFUCh. 6.5 - Prob. 2CFUCh. 6.5 - Prob. 3CFUCh. 6.5 - Prob. 4CFUCh. 6.5 - Prob. 5CFUCh. 6.5 - Prob. 6CFUCh. 6.5 - Prob. 7CFUCh. 6.5 - Prob. 8CFUCh. 6.5 - Prob. 9CFUCh. 6.5 - Prob. 10CFUCh. 6.5 - Prob. 11CFUCh. 6.5 - Prob. 12CFUCh. 6.5 - Prob. 13CFUCh. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - Prob. 16ECh. 6.5 - Prob. 17ECh. 6.5 - Prob. 18ECh. 6.5 - Prob. 19ECh. 6.5 - Prob. 20ECh. 6.5 - Prob. 21ECh. 6.5 - Prob. 22ECh. 6.5 - Prob. 23ECh. 6.5 - Prob. 24ECh. 6.5 - Prob. 25ECh. 6.5 - Prob. 26ECh. 6.5 - Prob. 27ECh. 6.5 - Prob. 28ECh. 6.5 - Prob. 29ECh. 6.5 - Prob. 30ECh. 6.5 - Prob. 31ECh. 6.5 - Prob. 32ECh. 6.5 - Prob. 33ECh. 6.5 - Prob. 34ECh. 6.5 - Prob. 35ECh. 6.5 - Prob. 36ECh. 6.5 - Prob. 37ECh. 6.5 - Prob. 38ECh. 6.5 - Prob. 39ECh. 6.5 - Prob. 40ECh. 6.5 - Prob. 41ECh. 6.5 - Prob. 42ECh. 6.5 - Prob. 43ECh. 6.5 - Prob. 44ECh. 6.5 - Prob. 45ECh. 6.5 - Prob. 46ECh. 6.5 - Prob. 47ECh. 6.5 - Prob. 48ECh. 6.5 - Prob. 49ECh. 6.5 - Prob. 50ECh. 6.5 - Prob. 51ECh. 6.5 - Prob. 52ECh. 6.5 - Prob. 53ECh. 6.5 - Prob. 54ECh. 6.6 - Prob. 1CFUCh. 6.6 - Prob. 2CFUCh. 6.6 - Prob. 3CFUCh. 6.6 - Prob. 4CFUCh. 6.6 - Prob. 5CFUCh. 6.6 - Prob. 6CFUCh. 6.6 - Prob. 7ECh. 6.6 - Prob. 8ECh. 6.6 - Prob. 9ECh. 6.6 - Prob. 10ECh. 6.6 - Prob. 11ECh. 6.6 - Prob. 12ECh. 6.6 - Prob. 13ECh. 6.6 - Prob. 14ECh. 6.6 - Prob. 15ECh. 6.6 - Prob. 16ECh. 6.6 - Prob. 17ECh. 6.6 - Prob. 18ECh. 6.6 - Prob. 19ECh. 6.6 - Prob. 20ECh. 6.6 - Prob. 21ECh. 6.6 - Prob. 22ECh. 6.6 - Prob. 23ECh. 6.6 - Prob. 24ECh. 6.6 - Prob. 25ECh. 6.6 - Prob. 26ECh. 6.6 - Prob. 27ECh. 6.6 - Prob. 28ECh. 6.7 - Prob. 1CFUCh. 6.7 - Prob. 2CFUCh. 6.7 - Prob. 3CFUCh. 6.7 - Prob. 4CFUCh. 6.7 - Prob. 5CFUCh. 6.7 - Prob. 6CFUCh. 6.7 - Prob. 7CFUCh. 6.7 - Prob. 8CFUCh. 6.7 - Prob. 9CFUCh. 6.7 - Prob. 10CFUCh. 6.7 - Prob. 11CFUCh. 6.7 - Prob. 12CFUCh. 6.7 - Prob. 13ECh. 6.7 - Prob. 14ECh. 6.7 - Prob. 15ECh. 6.7 - Prob. 16ECh. 6.7 - Prob. 17ECh. 6.7 - Prob. 18ECh. 6.7 - Prob. 19ECh. 6.7 - Prob. 20ECh. 6.7 - Prob. 21ECh. 6.7 - Prob. 22ECh. 6.7 - Prob. 23ECh. 6.7 - Prob. 24ECh. 6.7 - Prob. 25ECh. 6.7 - Prob. 26ECh. 6.7 - Prob. 27ECh. 6.7 - Prob. 28ECh. 6.7 - Prob. 29ECh. 6.7 - Prob. 30ECh. 6.7 - Prob. 31ECh. 6.7 - Prob. 32ECh. 6.7 - Prob. 33ECh. 6.7 - Prob. 34ECh. 6.7 - Prob. 35ECh. 6.7 - Prob. 36ECh. 6.7 - Prob. 37ECh. 6.7 - Prob. 38ECh. 6.7 - Prob. 39ECh. 6.7 - Prob. 40ECh. 6.7 - Prob. 41ECh. 6.7 - Prob. 42ECh. 6.7 - Prob. 43ECh. 6.7 - Prob. 44ECh. 6.7 - Prob. 45ECh. 6.7 - Prob. 46ECh. 6.7 - Prob. 47ECh. 6.7 - Prob. 48ECh. 6.7 - Prob. 49ECh. 6.7 - Prob. 50ECh. 6.7 - Prob. 51ECh. 6.7 - Prob. 52ECh. 6.7 - Prob. 53ECh. 6.7 - Prob. 54ECh. 6.7 - Prob. 55ECh. 6.7 - Prob. 56ECh. 6.7 - Prob. 57ECh. 6.7 - Prob. 58ECh. 6.7 - Prob. 59ECh. 6.7B - Prob. 1GCECh. 6.7B - Prob. 2GCECh. 6.7B - Prob. 3GCECh. 6.7B - Prob. 4GCECh. 6.7B - Prob. 5GCECh. 6.7B - Prob. 6GCECh. 6.7B - Prob. 7GCECh. 6.7B - Prob. 8GCECh. 6.8 - Prob. 1CFUCh. 6.8 - Prob. 2CFUCh. 6.8 - Prob. 3CFUCh. 6.8 - Prob. 4CFUCh. 6.8 - Prob. 5CFUCh. 6.8 - Prob. 6CFUCh. 6.8 - Prob. 7CFUCh. 6.8 - Prob. 8CFUCh. 6.8 - Prob. 9CFUCh. 6.8 - Prob. 10CFUCh. 6.8 - Prob. 11CFUCh. 6.8 - Prob. 12CFUCh. 6.8 - Prob. 13CFUCh. 6.8 - Prob. 14ECh. 6.8 - Prob. 15ECh. 6.8 - Prob. 16ECh. 6.8 - Prob. 17ECh. 6.8 - Prob. 18ECh. 6.8 - Prob. 19ECh. 6.8 - Prob. 20ECh. 6.8 - Prob. 21ECh. 6.8 - Prob. 22ECh. 6.8 - Prob. 23ECh. 6.8 - Prob. 24ECh. 6.8 - Prob. 25ECh. 6.8 - Prob. 26ECh. 6.8 - Prob. 27ECh. 6.8 - Prob. 28ECh. 6.8 - Prob. 29ECh. 6.8 - Prob. 30ECh. 6.8 - Prob. 31ECh. 6.8 - Prob. 32ECh. 6.8 - Prob. 33ECh. 6.8 - Prob. 34ECh. 6.8 - Prob. 35ECh. 6.8 - Prob. 36ECh. 6.8 - Prob. 37ECh. 6.8 - Prob. 38ECh. 6.8 - Prob. 39ECh. 6.8 - Prob. 40ECh. 6.8 - Prob. 41ECh. 6.8 - Prob. 42ECh. 6.8 - Prob. 43ECh. 6.8 - Prob. 44ECh. 6.8 - Prob. 45ECh. 6.8 - Prob. 46ECh. 6.8 - Prob. 47ECh. 6.8 - Prob. 48ECh. 6.8 - Prob. 49ECh. 6.8 - Prob. 50ECh. 6.8 - Prob. 51ECh. 6.8 - Prob. 52ECh. 6.8 - Prob. 53ECh. 6.8 - Prob. 54ECh. 6 - Prob. 1SAPCh. 6 - Prob. 2SAPCh. 6 - 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