a.
To find: the direction in which rollers
a.
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.
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 find: the angular velocity (in rpm) of rollers
b.
Answer to Problem 43E
Roller B :
Roller C :
Explanation of Solution
Given information:
The side view of three rollers tangent to each other is shown below in the figure.
Angular velocity of roller A
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:
Thus the linear velocity of all the three rollers is 360 rpm.
The angular velocity
Thus the angular velocity of roller B is 180 rpm.
The angular velocity
Thus the angular velocity of roller C is 75 rpm.
Chapter 6 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (3rd Edition)
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