Given:

$$D=6m$$

$$p=0.9$$

$$BAR=0.48$$

$$N=110rev\:per\min$$

$$real \space slip \space (s) \space = \space 25\%$$

$$W_{F}=0.3$$

$$Thrust \space = \space 300kN$$

$$η_{prop} \space = \space 0.65$$

(i) Blade area:

$$BAR \space = \space {{A_b} \over {{\pi} \over 4} D^2}$$

$$Blade \space area \space A_b \space = \space 0.48 \times {{\pi} \over 4} 6^2$$

$$Blade \space area \space = \space 13.57m^2 $$

$$p \space = \space {{P} \over D}$$

$$0.9 \space = \space {{P} \over 6}$$

$$Pitch \space p = \space 5.4m$$

$$V_{T}=P\times N\times\frac{3600}{1852}$$

$$V_{T}=5.4\times\frac{110}{60}\times\frac{3600}{1852}$$

$$V_{T}=19.24knots$$

$$Real \space slip \space S \space = \space {{V_T - V_a} \over V_T}$$

$$ 0.25 \space = \space {{19.24 - V_a} \over 19.24}$$

$$V_a \space = \space 14.42 knots$$

$$W_F \space = \space {{V - V_a} \over V}$$

$$0.30 \space = \space {{V - 14.42} \over V}$$

$$V=20.6knots$$

$$T_{p}\space=\space Thrust\times V_{a}\times\frac{1852}{3600}$$

$$T_p \space = \space Thrust \times 14.42 \times {{1852} \over 3600 }$$

$$T_p \space = \space 2225.48 $$

$$T_p \space = \space d_p \times η_{prop}$$

$$2225.48=d_{p}\times0.65$$

$$d_p \space = \space 3423.8kW$$

$$dp=2\pi NT$$

$$3423.8=2\times\pi\times\frac{110}{60}\times T$$

$$T=297.22KN$$