A hydraulic turbine rotates at N rpm operating at a net head H and having a discharge Q while developing an output power P. The specific speed is expressed as:

1
\(\frac{N \sqrt{Q}}{\rho^{1 / 2}(g H)^{5 / 4}}\)
2
\(\frac{N \sqrt{P}}{\rho^{1 / 2}(g H)^{3 / 4}}\)
3
\(\frac{N \sqrt{P}}{\rho^{1 / 2}(g H)^{5 / 4}}\)
4
\(\frac{N \sqrt{Q}}{\rho^{1 / 2}(g H)^{3 / 4}}\)

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