A cylinder of radius 3d = 12 cm starts from rest and rotates about its central axis with constant angular 13. acceleration of 3 rad/s. (Icom,gylinder= 8.2 kgm³) a) What are the angular and linear speed of point A after 2 sec? b) At what time does the cylinder complete the first two revolutions? c) What is the kinetic energy of the cylinder when point B moves the first 1 meter?
A cylinder of radius 3d = 12 cm starts from rest and rotates about its central axis with constant angular 13. acceleration of 3 rad/s. (Icom,gylinder= 8.2 kgm³) a) What are the angular and linear speed of point A after 2 sec? b) At what time does the cylinder complete the first two revolutions? c) What is the kinetic energy of the cylinder when point B moves the first 1 meter?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 28PQ
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Angular speed, acceleration and displacement
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Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
Question
![13.
A cylinder of radius 3d = 12 cm starts from rest and rotates about its central axis with constant angular
acceleration of 3 rad/s*. (Icom,cylinder= 8.2 kgm³)
a) What are the angular and linear speed of point A after 2 sec?
b) At what time does the cylinder complete the first two revolutions?
c) What is the kinetic energy of the cylinder when point B moves the first 1 meter?
Answers: a) w = 6 rad/s, VA= 0.24 m/s, b) 2.894 s; c) 205 J
2d](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e474147-a30c-4700-b8d7-6c955134917b%2F3e57d6b8-9362-4b22-9437-0fcbea189438%2F1x9y0hu_processed.png&w=3840&q=75)
Transcribed Image Text:13.
A cylinder of radius 3d = 12 cm starts from rest and rotates about its central axis with constant angular
acceleration of 3 rad/s*. (Icom,cylinder= 8.2 kgm³)
a) What are the angular and linear speed of point A after 2 sec?
b) At what time does the cylinder complete the first two revolutions?
c) What is the kinetic energy of the cylinder when point B moves the first 1 meter?
Answers: a) w = 6 rad/s, VA= 0.24 m/s, b) 2.894 s; c) 205 J
2d
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