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

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SUMMARY

The discussion focuses on calculating the angular velocity of particle A with respect to particle B, given two particles moving in concentric circles with radii R₁ and R₂ and angular velocities ω₁ and ω₂. The key equation derived is ω₁₂ = (|V perpendicular|)/(vector R), indicating that the angular velocity can be determined from the linear velocity component perpendicular to the radius vector. Participants emphasized the importance of distinguishing between linear and angular velocities in this context, which is crucial for accurate calculations.

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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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