(Solved): The diagram below shows a water supply system of a house. The pump transports water (water=1 ...

The diagram below shows a water supply system of a house. The pump transports water $\left({?}_{\text{water }}=1000\mathrm{kg}/{\mathrm{m}}^3\right)$ into the main pipe with radius $0.015\mathrm{m}$ and maintains a constant pressure $4.06\times 10^5\mathrm{N}/{\mathrm{m}}^2$ at point $a$. The water is delivered to each floor through a branch pipe with radius $0.010\mathrm{m}$. Now the faucet on the 2nd floor is turned on, the other faucets remaining off, and the flow speed at point $a$ is measured to be $3.98\mathrm{m}/\mathrm{s}$. If the elevation of point $a$ is $0.00\mathrm{m}$, and the elevation of point $d$ is $+5.00\mathrm{m}$, what is the pressure at point $d$, the branch pipe on the 2nd floor (in $\mathrm{N}/{\mathrm{m}}^2$ )?