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Q10. a) Describe the various resistances acting against the motion of the ship?

The following data are available from the hydrostatic curves of a vessel.

Calculate the TPC at a draught of 5.05m.

Q9. A. Describe measures which may be taken to improve the stability or trim of a damaged ships.

B. A ship 85m long displaces 8100 tonne when floating in seawater at draughts of 5.25m forward and 5.55m aft. TPC 9.0, GML 96m, LCF 2m aft of midships. It is decided to introduce water ballast to completely submerge the propeller and a draught aft of 5.85m is required. A ballast tank 33m aft of midships is available. Find the least amount of water required and the final draught forward.

Q10. A. Explain what is meant by singing of propeller.

B. A propeller 6m diameter has a pitch ratio of 0.9, BAR 0.48 and, when turning at 110 rev/min, has a real slip of 25% and wake faction 10.30. If the propeller delivers a thrust of 300 KN and the propeller efficiency is 0.65 calculate - i Blade area; ii Ship speed; iii. Thrust power; iv Shaft power v. Torque

Q9. At a draught of 1.0 m in sea water of density 1025 kg/M3 the displacement of a ship is 900 tonne and the height of the centre of buoyancy above the keel (KB) is O.6m. Values of tonne per centimetre immersion (TPC) in sea water for a range of draughts are given in Table Q1.

(a) Calculate EACH of the following for a draught of 6. Om in sea water:

(î) the displacement; (ii) the height of the centre of buoyancy above the keel (KB).

(b) At a draught of 6.0 m, the height of the longitudinal metacentre above the keel (KML) is 128m and the second moment of area of the waterplane about a transverse axis through midships is 996 728 m4. The centre of flotation is aft of midships.

Calculate the distance of the centre of flotation (LCF) from midships.

Q10. A ship 120m long displaces 12000 tonne. The following data are available from trial results:

V (knots) 10  11  12  13  14  15
sp (kw) 880  1155  1520  2010  2670  3600
(a) Draw the curve of admiralty coefficients on a base of speed

(b) Estimate the shaft power required for a similar ship 140m long at 14 knots.

Q9. A. Explain what is meant by: i. Wave making resistance; ii. Frictional resistance; iii. Eddy-making resistance (6)

B. When a ship is 800 nautical miles from port, its speed is reduced by 20%, thereby reducing the daily fuel consumption by 42 tonne and arriving in port with 50 tonne on board. If the fuel consumption in t/h is given by the expression (0.136+0.001 V3) where V is the speed in knots, estimate: (i) The reduced consumption per day; (ii) The amount of fuel on board when the speed was reduced; (iii) The percentage decrease in consumption for the latter part of the voyage; (iv) The percentage increases in time for this latter period. (10)

Q9. A. State what is meant by the term floodable length illustrating your answer by drawing a typical curve of floodable length of a ship. B. A vessel has a maximum allowable draught of 8.5m in fresh water and 8.25m in seawater of 1.025/m3, the TPC in the sweater being 27.5. The vessel is loaded in never water of 1.012 t/m2 to a draught of 8.44m. If it now moves into seawater, is it necessary to pump out any ballast and if 50, how much?

Q6. A. Explain the significance of the root- mean- square value of an alternating current or voltage waveform: Define the form factor of such a wave form. (6)

B. Draw the circuit of Half-wave rectifier and its output waveform. A diode whose internal resistance is 20𝛀 is to supply power to 1000 𝛀 load from 110 V (RMS) source. Calculate

(i) peak load current, (ii) DC load current, (iii) AC load current. (10)

Q7. A ship of 2890 tonne displacement and speed of 14 knots has a machinery mass of 410 tonne. The mass of ship’s machinery is given by the formula: m=  V3 tonne;(i) Calculate the mass of the machinery of a similar ship of 3000 tonne displacement at the corresponding speed; (ii) if the 2890 tonne ship required 2920 Kw shaft power, calculate the shaft power required by the 3000 tonne ship.

Q7. a. By means of a schematic circuit diagram illustrate the peak rectifier. If the supply voltage is v(t) = Vra Sin wt, what is the voltage across the load resistor? (6)

b. A D.C. motor takes an armature current of 110 A at 480 V. The resistance of the armature circuit is 0.2𝛀. The machine has six poles and the armature is lap-connected with 864 conductors. The flux per pole is 0.05 Wb. Calculate:

(i) The speed.

(ii) The gross torque developed by the armature. (10)

Q6. A. Describe how water tightness is maintained where bulkheads are pierced by longitudinal beams or pipes.

B. A propeller has a pitch ratio of 0.95. When turning at 120 rev/min the real slip is 30%, the wake fraction 0.28 and the ship speed 16 knots. The thrust is found to be 400 KN, the torque 270 KN-m and the QPC 0.67. Calculate:

i. The propeller diameter;

ii. The shaft power;

iii the propeller efficiency;

iv. The thrust deduction factor.

Q6. a) With respect to Buoyancy of a vessel:

What do you understand by reserve buoyancy what happen if the lost buoyancy is greater than the reserve buoyancy? (6)

b) A triangular bulkhead is 7 m wide at the top and has a vertical depth of 8 m.  Calculate the load on the bulkhead and the position of centre of pressure if the bulkhead is flooded with sea water on only side:

(i) to the top edge,

(ii) with 4 m head to the top edge. (10)