Question $(2)$ Outcome$(1)$

$4$ Marks

Prove that he Bernoulli equation in a rotating reference frame is represented by :

$\frac{P}{g}+\frac{V_{\text{r}\text{e}\text{l}\text{a}\text{t}\text{i}\text{v}\text{e}}^2}{2g}-\frac{{}^2{r}^2}{2g}+z=$ constant

Close$-$up frontal view of the simplified centrifugal flow pump used for elementary analysis of the velocity vectors. Absolute velocity vectors of the fluid are shown as bold arrows. It is assumed that the flow is everywhere tangent to the blade surface when viewed from a reference frame rotating with the blade, as indicated by the relative velocity vectors.