(Solved): Water flows at steady state through a horizontal pipe with a contraction. The water has constant-d ...

Water flows at steady state through a horizontal pipe with a contraction. The water has constant-density $?=1000\mathrm{kg}/{\mathrm{m}}^3$. The pipe has a circular cross section which changes from radius $R_1=0.3\mathrm{m}$ to radius $R_2=0.1\mathrm{m}$. Along the streamline from 1 to 2 , the pressure decreases from $P_1=47\mathrm{Pa}$ to $P_2=17\mathrm{Pa}$. Velocity is approximately uniform across the wide cross-section. Velocity is approximately uniform across the narrow cross-section, with a value of $U_2=0.2\mathrm{m}/\mathrm{s}$. The flow of air outside of the pipe is weak, such that wind shear on the sides of the control volume can be neglected. The loss coefficient in the contraction is not known. Calculate $F_{Tx}$, the x-component of the thrust force acting on the contents of the control volume. $F_{Tx}=\text{ number }(\text{ rtol }=0.01,\text{ atol }=1\mathrm{e}?08)\mathrm{N}?$