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A single$-$row impulse turbine has blades whose inlet angle is $40$ and exit angle $37.$

The mean blade speed is $230\frac{m}{s}$ and the nozzles are inclined at an angle of $27$ to the

plane of rotation of the blades. There is a $10$ per cent loss of relative velocity due to

friction in the blades. The turbine uses $550k\frac{g}{h}$ of steam. Determine

$($a$)$ the nozzle velocity of the steam

$($b$)$ the absolute velocity of the steam at exit

$($c$)$ the power output of the turbine

$($d$)$ the end$-$thrust on the turbine

$($e$)$ the diagram efficienc:

$[($a$)650\frac{m}{s}$; $($b$)265\frac{m}{s}$; $($c$)23\mathrm{.}9$ kW ; $($d$)-7\mathrm{.}26$ N ; $($e$)74\%]$