Problem 1-Pelton Wheel (35 points): In an experiment of a Pelton-wheel, following data is recorded: a) Find: the total head, \( \boldsymbol{H}[\boldsymbol{m}] \), Torque \( [\mathbf{N m}] \) Brake power [Watt], Hydraulic power [Watt], the speed ratio \( \boldsymbol{\Phi} \) and mechanical efficiency \( \boldsymbol{\eta} \) in [\%]. ( \( \mathbf{2 5} \) points) b) Neglect the resistance in the nozzle and find the velocity of the jet \( \boldsymbol{V} \boldsymbol{j} \). ( \( \mathbf{1 0} \) points)