A cylindrical tank containing water is rotating about the z-axis at a constant angular velocity of 10 rad s$^{-1}$. The schematic of the isobaric surface is shown below, where ‘A’ and ‘B’ are two points on the isobaric surface at heights $z_1$ and $z_2$, respectively. Assuming negligible atmospheric pressure and no transient flow, estimate the elevation difference in m between $z_1$ and $z_2$.
(Given: $r_1 = 0.5 \, m$, $r_2 = 1.0 \, m$, $g = 9.8 \, m/s^2$, $\omega = 10 \, rad/s$).