your calcul isYour calculations are good but if you are afterusing a full bridge rectifier (diode bridge, I think ?), your frequency is the double of the input, so here 120Hz.
Moreover, there is the drop voltage drop of the diodes, so with a full bridge, it's roughly 1.2V =>. Hence Vp = 9-1.2 = 7.8V.
Notice that a ripple of 10% is very good. Usually we add a regulator after the capacitor to have a better constant voltage supply.