Circular Motion Two Particles Equal Angle (1 Viewer)

[Raeksis]

Say there are two particles travelling in circular motion about two different radii with two different tangential speeds. How would I go about finding the times at which they have traced out the same angle from the origin (In the range 0 to 2pi)? It sounds easy but I just can't think

 

[mathing]

Say there are two particles travelling in circular motion about two different radii with two different tangential speeds. How would I go about finding the times at which they have traced out the same angle from the origin (In the range 0 to 2pi)? It sounds easy but I just can't think

Not sure if there is an easier way but you can think about how changes with time and then you want to make sure the difference of these two functions is an integer multiple of .

so we can solve for t and create which at that time is and so on.