The hydraulic turbines at Boulder dam power plant are rated at $86,000 \mathrm{~kW}$ when water is supplied at a rate of $66.3 \mathrm{~m}^{3} / \mathrm{s}$. The water enters at a head of $145 \mathrm{~m}$ at $20^{\circ} \mathrm{C}$ and leaves through a $6 \mathrm{~m}$ diameter duct.

(a) Determine the efficiency of the turbines.

(b) What would be the rating of these turbines if the dam power plant was on Jupiter $\left(g=26 \mathrm{~m} / \mathrm{s}^{2}\right)$ ?