Question $2\mathrm{.}2.$

For a vertical custom wye $($see Fig. $4)$ through which water is flowing, the following data are given: $A_1=A_2=64c{m}^3$;$A_3=38c{m}^3$;$v_1=5\mathrm{.}97\frac{m}{s}$;$v_2=3\frac{m}{s}$;$v_3=5\frac{m}{s}$;$p_1=30$kPa;$p_2=43\mathrm{.}3$ kPa;$p_3=34\mathrm{.}6$kPa. What are the values of the vertical components $R_x,R_y,$ and $R_z$ of the force required to hold the custom wye junction in place?

Notes: $(1)A$ is area, $p$ is gauge pressure, $v$ is average flow velocity; $(2)$ neglect any kind of energy losses; $(3)$ all pipes are continuous, which means that no section in Fig. $4$ is in contact with the atmosphere; $(4)$ the flow is steady; $(5)$ neglect the weight of the fluid. The answer should be Rx around $110$N and Ry around $211$N Thank you