How Does Angular Velocity Affect Connected Gears?

AI Thread Summary
The discussion centers on calculating the angular velocity of gear B based on the given angular velocity of gear A and the angular velocity of the connecting arm AB. When gear A rotates at 60 revolutions per minute clockwise, the angular velocity of gear B can vary depending on whether the arm AB rotates counterclockwise or clockwise at 40 rpm. The participants express confusion regarding the relationship between the gears and the arm, questioning whether it is a toothed arm and if the gears have different radii. The linear velocity for gear A is calculated as 480, but further steps to find gear B's angular velocity remain unclear. Understanding the mechanics of connected gears and the role of the arm is crucial for solving the problem.
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Homework Statement


Gears A and B are connected by arm AB. The angular velocity at A is 60 rev. per minuter (clockwise), find the angular velocity at B if
a) wAB = 40 rpm (counterclockwise)
b) wAB = 40 rpm (clockwise)


Homework Equations


w=dTheta / dt
w = v/r


The Attempt at a Solution



solved for linear velocity for A (=480) do not know what to do next
 
Physics news on Phys.org
Is there a figure that goes with this question? What does it mean to connect two gear sprockets with an arm? Is it a toothed arm and A and B have diffeferent radii?
 

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