Dynamics Homework Help, velocity, acceleration of particle

[frank1234]

I need help with my dynamics homework. This is what I have so far, I hope you can read my writing (let me know if something is unclear). Can someone help me with how to approach this problem and where to go next? Thank you!

 

[gianeshwar]

Periphery of inner wheel and hence that of outer has tangential speed equal to 180t.now at t as found by you 0.38.
so v at the end of 0.38 sec equals 68.4(Pl. make corrections in your solution.)
Now tangential acc.=dv/dt=180
Normal acc.=-v^2/R3=-68.4/105=0.65
Resultant acc. at end of 0.38 sec=sqrrt(0.65^2+180^2)=180 approx.