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Q8. A. Describe the procedure for speed, Power and fuel consumption trials. B. An oil tanker has LBP 142m, beam 18.8m and draught 8m. It displaces 17000 tonne in seawater of 1.025 1/m3. The face pitch ratio of the propeller is 0.673 and the diameter 4.8m. The results of the speed final show that the true slip may be regarded as constant over a range of speeds of 9 to 12 knots and is 35% the wake fraction may be calculated from the equation: W=0.5Cb = 0.05. If the vessel uses 20 tonne of fuel per day at 12 knots and the consumption varies as speed. Find the consumption per day at 100 rev/min.

Q8. A box barge of 60m long and 10m wide floats at a level keel draught of 3m. Its centre of gravity is 2.5m above the keel. Determine the end draughts if an empty, fore end compartment 9m long is laid open to the sea.

Q8. A. Explain the use of KN curves.

B. The half breadths of the load waterplane of a ship 150 m long commencing from aft, are 0.3. 3.8. 6.0, 7.7, 8.3.9.0,8.4.7.8, 6.9.4.7 and 0 m respectively. Calculate: (a) area of waterplane (b) distance of centroid from amidships (c) second moment of area about a transverse axis through centroid.

Q9. A. Explain the term volumetric heeling moments.

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.

Q9. A ship of 6000 tonne displacement has a wetted surface area of 2500 m2 and a speed of 15 knots.  Calculate the corresponding speed and wetted surface area of as similar ship of 2000 tonne displacement. (i) If the ship resistance is of the form R=0.45 S V1.83 N; find the resistance of the 6000 tonne Ship.

Q9: A. Explain how trim occurs, and explain the effect of trim on tank soundings. B. A ship 150 metres long arrives at the mouth of a river with drafts 5.5m.  F and 6.3m A MCT 1 cm. 200 tonnes-m.  TPC 15 tonnes.  Centre of flotation is 1.5m. aft of amidships.  The ship has then to proceed up the river where the maximum draft permissible is 6.2m.  It is decided that SW ballast will be run into the forepeak tank to reduce the draft aft to 6.2m.  If the canter of gravity of the forepeak tank is 60 metres forward of the center of flotation, find the minimum amount of water which must be run in and also find the final draft forward.

Q8. (a) Explain what is meant by left and right handed propellers, and also explain the rotation of propellers in a twin-screw ship.

b) A ship 120m long displaces 8000 tonne, GML is 102m, TPC 17.5 and LCF 2m aft of midships. It arrives in port with draughts of 6.3m forward and 6.6m aft.

During the voyage the following changes in loading have taken place:

Fuel used          200 tonne         18m forward of midships

Water used        100 tonne         3m aft of midships

Stores used        10 tonne           9m aft of midships

Ballast added     300 tonne         24m forward of midships

Calculate the original draughts. (10)

Q10. A. What is back emf? Derive the relation for the back emf and the supplied voltage in terms of armature resistance. (6)

B. Find the synchronous impedance reactance of an alternator in which a given field current produces an armature current of 200 A on short circuit and a generated e.m.f. of 50V on open circuit. The armature resistance is 0.1 ohm. To what induced voltage must the alternator be excited if it is to deliver a load of 100A at a p.f of 0.8 lagging, with a terminal voltage of 200V. (10)

Q7. A. Explain how to distinguish between list and loll and describe how to return the ship to the upright in each case. (6)

B. A ship 120m long has a light displacement of 4000 tonne and LCG in this condition 2.5m aft of midships.  (10)

The following items are then added:

Cargo    10000 tonne      LCG 3.0 m          forward of midships

Fuel      1500 tonne        LCG 2.0 m          aft of midships

Water    400 tonne          LCG 8.0 m          aft of midships

Stores   100 tonne          LCG 10.0m         forward of midships

Using the following hydrostatic data, calculate the final draughts:

Draught (m) --- Displacement (t) --- MCTI cm (tm) --- LCB from midships (m) --- LCF from midships (m)
8.50 ---------- 16650 -------------- 183 ------------ 1.94 F ------------------ 1.20A
8.00 ---------- 15350 -------------- 175 ------------ 2.10 F ------------------ 0.60F

Q9. A hopper barge of box form 50 m long and 10 m wide floats at a draught of 2 m in seawater when the hopper, which is 15 m long and 5 m wide, is loaded with mud having relative density twice that of the seawater, to the level of the waterline. Doors in the bottom of the hopper are now opened allowing the mud to be discharged. Calculate the new draught. (16)

Q6. a) What are the various resistances acting against the motion of the ship? (6)

b) A vessel uses 300 t of fuel on a voyage of 3000 nautical miles at a speed of 12 knots when her displacement is 10000 t. Estimate the fuel required for an estimated voyage of 1500 nautical miles at a speed of 15 knots and displacement of 14000 t. (10)

Q9. a) Name the various types of capacitors? (6)

b) A 500W, 100V bulb is to be connected across 250V, 50Hz mains. Find the value of the capacitor required to be connected in series. (10)