Question three

A radial$-$flow water pump has the following dimensions: ${}_1=44,r_1=21mm,b_1=11mm,{}_2=30,r_2=66mm,$ and $b_2=5mm.$ For a rotational speed of $2500re\frac{v}{m}in,$ assuming ideal conditions $($frictionless flow, negligible vane thickness, perfect guidance$),$ with ${}_1=90($no pre$-$rotation$),$ determine

i$.$ the discharge. $(6$ marks$)$

ii$.$ the theoretical head. $(6$ marks$)$

iii. the required power. $(8$ marks$)$