You have been tasked with investigating a propeller design with three blades (treated as slender rods) of mass, m and length, L, at 120° relative to each other which is moving at a constant acceleration. Using L = 1.25 m, m = 12 kg, 1 = 3000 N·m, w = 2000 rad/s: a) Calculate the moment of inertia of the propeller (state any assumptions made). [7 marks] b) If the desired torque, T, acts on the propeller how long will it take to reach an angular velocity W. [3 marks] c) Determine the number of revolutions it would have made before reaching the angular velocity w. [5 marks] d) If the propeller design increases to six blades, in no more than 200 words, discuss what affect this will have on the moment of inertia, the time it takes to reach the velocity and how this affects the number of revolutions (state any assumptions made). [10 marks]