Angular velocity of one particle relative to another in concentric circles

[vickyiit]

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.

 

[mezarashi]

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?

;-)

 

[vickyiit]

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