Angular Velocity: Find Angular Velocity of A w.r.t B using Radii & ω

AI Thread Summary
To find the angular velocity of particle A with respect to particle B, one must consider the radii R₁ and R₂ and their respective angular velocities ω₁ and ω₂. The relationship between angular velocity and linear velocity is crucial, as the particles are moving at constant velocities. The formula ω₁₂ = (|V perpendicular|)/(vector R) is relevant, but clarification is needed on whether to use linear or angular velocity in calculations. Understanding these concepts will lead to the correct determination of angular velocity in this scenario. Proper application of the equations will yield the desired result.
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Homework Statement



radii R₁, R₂, angular velocity ω₁, ω₂

Homework Equations



Two particles 1 and 2 describe co-planar concentric circles of radii R₁ and R₂ with angular velocities ω₁ and ω₂ as shown in the figure. Find the angular velocity of A with respect to B.

The Attempt at a Solution



Θ will be constant as particles are moving with constant velocity. therefore, ω₁₂=(|V perpendicular|)/(vector R). But i am not sure whether i proceeded right. Please help.
 

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You've got to a good start by correctly understanding that both particles are moving at constant "velocity". What you don't mention is... what velocity? The same linear or angular velocity?

;-)
 
mezarashi said:
You've got to a good start by correctly understanding that both particles are moving at constant "velocity". What you don't mention is... what velocity? The same linear or angular velocity?

;-)

angular velocity
 

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