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Q3. (a) A propulsion problem causes a reduction in a ship’s speed of 3.5 knots throughout a passage of 630 nautical miles, resulting in the ship arriving at its destination 6 hours behind schedule. Calculate the passage time. (10)

(b) The minimum diameter, d, of a shaft subjected to a bending moment M and torque T is given by the formula

d³ = 16/(π f) [M + √(M² + T² )]

Transpose the formula to obtain T. (6)