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so what have you tried so far?

I know that Ac is toward the center

|dw:1433905966296:dw|

here are the external forces acting on each seat:
|dw:1433906060256:dw|

why is centripital force outward and not toward the center?

since I measure those forces with a reference system located outside of the rotating platform

ah ok, got it

oh ok, so you need to find Fc, centripetal force

Then you can find your V

|dw:1433906399481:dw|

it is simple, since, using trigonometry, we ca write:
\[\Large m\frac{{{v^2}}}{R} = mg\tan \theta \]

after a simplification, we get:
\[\Large v = \sqrt {gR\tan \theta } \]

ah ok i see

|dw:1433906745625:dw|

so It would look like this then?

Oh, ok I see

|dw:1433906970477:dw|

|dw:1433907024481:dw|

I have applied the theorem of Pitagora to this triangle:
|dw:1433907439233:dw|

yeah this is a centripetal force problem

the centripetal force is the force applied by the chain on the seat

I got V = 3.6156 m/s

oh ok

you are right! @BAdhi