In order to get gears A and B (radii of ra = 50 mm and rB = 75 mm, respectively) to turn in the same direction, an idler gear C is used (radius of 50 mm). The angular acceleration of gear A is aa=(2sin(1)+2) rad/s², where t is in seconds. Find the following: a) The angular velocity of gear A, wA, at t = 5 s, assuming that all gears start from rest. b) The angular velocity of gear B, WB, at t = 5 s, assuming that all gears start from rest.
In order to get gears A and B (radii of ra = 50 mm and rB = 75 mm, respectively) to turn in the same direction, an idler gear C is used (radius of 50 mm). The angular acceleration of gear A is aa=(2sin(1)+2) rad/s², where t is in seconds. Find the following: a) The angular velocity of gear A, wA, at t = 5 s, assuming that all gears start from rest. b) The angular velocity of gear B, WB, at t = 5 s, assuming that all gears start from rest.
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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Transcribed Image Text:In order to get gears A and B (radii of ra = 50 mm and rB = 75 mm, respectively) to turn in
the same direction, an idler gear C is used (radius of 50 mm). The angular acceleration of
gear A is aa=(2sin(1)+2) rad/s², where t is in seconds. Find the following:
a) The angular velocity of gear A, WA, at t = 5 s, assuming that all gears start from rest.
b) The angular velocity of gear B, WB, at t = 5 s, assuming that all gears start from rest.
B
A
75 mm
50 mm
50 mm
CLA
Idler gear
Driving gear
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