A test is conducted on a one-fifth scale model of a Francis turbine under a head of $2 \: m$ and volumetric flow rate of $1 \: m^3/s$ at $450 \: rpm$. Take the water density and the acceleration due to gravity as $10^3 \: kg/m^3$ and $10 \: m/s^2$, respectively. Assume no losses both in model and prototype turbines. The power (in MW) of a full sized turbine while working under a head of $30 \: m$ is _______ (correct to two decimal places)
