Q6. A. What factors influence the frictional resistance of a ship and what formula is used to calculate the resistance? B. A ship of 12000 tonne displacement has a rudder 15m2 in area, whose centre is 5m below the waterline. The metacentric height of the ship is 0.3m and the centre of buoyancy is 3.3m below the waterline. When travelling at 20 knots the rudder is turned through 30 . Find the initial angle of heel if the force Fn perpendicular to the plane of the rudder is given by: Fn=577 Av2 sin N, Allow 20% for the race effect.
Q6. A propeller has a pitch of 4.57m. At 100rev/min the real slip is 20 percent and wake speed is I knot. Calculate the apparent slip percentage
Q10: A. Define hull efficiency and propeller efficiency. B. 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.
Q10: A. What is meant by the Admiralty Coefficient and the Fuel Coefficient?
B. A rectangular watertight bulkhead 9 m high and 14.5 m wide bas sea water on both sides, the height of water on one side being four times that on the other side. The resultant centre of pressure is 7 m from the top of the bulkhead. Calculate:
i) The depths of water
ii) the resultant load on the bulkhead
Q9. A. What are the factors which determine the synchronous speed of a motor? (6)
B. Three conductors fitted side by side in the stator of a salient-pole alternator. Each generates maximum voltage of 200V (sinusoidal). The angle subtended at the centre of the stator between adjacent conductors is 20 electrical degrees. If the three conductors are connected in series, find (i) the r.m.s. value of the effective voltage and (ii) the ‘breadth factor’. Using the theory that is the basis of this problem, give one reason why three-phase current has been introduced. (10)
Q10. (a) List the variables which affect the force on Rudder (6)
b) A ship of 15000 tonne displacement has an Admiralty Coefficient, based on shaft power, of 420. The mechanical efficiency of the machinery is 83%, shaft losses 6%, propeller efficiency 65% and QPC 0.71. At a particular speed the thrust power is 2550kW.
Calculate:
(i) Indicated power, (ii) Effective power, (iii) Ship speed.
Q9. A. Explain the effect of bilging a centreline compartment located away from amidships.
b) A ship of 4000 tonne displacement has a mass of 50 tonne on board, on the centre line of the tank top. A derrick, whose head is 18 m above the CG of the mass, is used to lift it. Find the shift in the ship's centre of gravity from its original position when the mass is
(i) lifted Just clear of the tank top
(ii) raised to the derrick head
(iii) placed on the deck 12 m above the tank top. (10)
Q9. a) What is the operational impedance of an R.C. Circuit? Describe its usefulness. (6) B. A ring-main, 900m long, is supplied at a point A at a p.d. of 220V. At a point B, 240m from A, a load of 45A is drawn from the main, and at a point C, 580m from A, measured in the some direction, a load of 78A is taken from the main. If the resistance of the main (lead and return) is 0.25 ohm per kilometre, calculate the current which will flow in each direction round the main from the supply point A and the potential difference across the main, at the load where it is lowest. (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)
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