5.3. A helicopter is operating in level forward flight at \( 210 \mathrm{fts}^{-1} \) under the following conditions: shaft power supplied \( =655 \mathrm{hp}, W=6,000 \mathrm{lb}, \rho=0.00200 \) slugs \( / \mathrm{ft}^{3} \). The rotor parameters are \( R=19 \mathrm{ft}, \sigma=0.08, \Omega R=700 \mathrm{fts}^{-1}, k=1.15, C_{d_{0}}= \) 0.01 . (i) How much power is required to overcome induced losses? (ii) How much power is required to overcome profile losses? (iii) What is the equivalent flat-plate area, \( f \) ? (iv) If the installed power is 800 hp , estimate the maximum rate of climb possible at this airspeed.