Consider an inviscid flow through a smooth pipe which has a pitot-static tube arrangement as shown. Find the centre-line velocity in the pipe.
Consider that the density of the fluid is $1000 \mathrm{~kg} / \mathrm{m}^3$, acceleration due to gravity is $10 \mathrm{~m} / \mathrm{s}^2$, and the specific gravity of the manometric fluid is $11$.

- $2 \text{m/s}$
- $3 \text{m/s}$
- $5 \text{m/s}$
- $7 \text{m/s}$