Q7. (a) What is meant by statical stability? What are the factors that influence stability? (6)
(b) A box barge 25 m long and 4 m wide floats in fresh water at a draught of 1.2 m and has an empty mid length compartment 5 m long. The bottom of the barge is lined with teak (rd 0.805) 120 mm thick. After grounding all the teak is torn off and the centre compartment laid open to the sea. Calculate the final draught. (10)
Q6. (a) The capacitor-start induction run motor has a much higher starting torque than the resistance split-phase motor. Explain (6)
(b) An eight-pole armature is wound with 480 conductors. The magnetic flux and the speed are such that the average e.m.f. generated in each conductor is 2.2 V, and each conductor is capable of carrying a full load current of 100 A. Calculate the terminal voltage on no load, the output current on full load and the total power generated on full load when the armature is:
(i) Lap connected
(ii) Wave connected (10)
Q4. a) What are the factors which determine the synchronous speed of a motor? (6) b) A total load of 8000 Kw at 0.8 power factor is supplied by two alternators in parallel. One alternator supplies 6000 Kw at 0.9 power factor. Find the Kva rating of the other alternator and the power factor. (10)
Q6. a) Explain distribution factor and pitch factor for alternator windings. (6) b) An eight-pole armature is wound with 480 conductors. The magnetic flux and the speed are such that the average e.m.f. generated in each conductor is 2.2 V, and each conductor is capable of carrying a full load current of 100 A. Calculate the terminal voltage on no load, the output current on full load and the total power generated on full load when the armature is a) lap-connected b) wave-connected (10)
Q4. a) Describe the possible causes and the effect of running a three-phase motor with one phase open circuit. (6)
b) A heater unit of inductance has a resistance of 6.5 ohms and is intended for use with 100V mains. For 50Hz what voltage would it be suitable when placed in series with an external apparatus, of negligible resistance, having an inductance of 0.01H? If the frequency rises by 5 percent and this voltage remains constant, what would be the resulting change of voltage at the heater terminals? (10)
Q9. A. What are the main components of ship resistance that a vessel encounters while moving through water. (6)
B. The speed of a ship is increased to 18% above normal for 7.5 hours and then reduced to 9% below normal for 10 hours. The speed is then reduced for the remainder of the day so that the consumption for the day is the normal amount. Find the percentage difference between the distance travelled in that day and the normal distance travelled per day. (10)
Q8. A. Sketch an arrangement showing the principal of proportional plus integral (P+I) control loop.
B. Compare the series and parallel resonance circuits. Find the frequency at which the following circuit resonates.
Q7. A. Which of the following three motors has the poorest speed regulation: shunt motor, series Motor or cumulative compound motor? Explain.
B. A 440V shunt motor takes an armature current of 30A at 700 rev/min. The armature resistance is 0.7ohm. If the flux is suddenly reduced by 20 per cent, to what value will the armature current rise momentarily? Assuming unchanged resisting torque to motion, what will be the new steady values of speed and armature current? Sketch graphs showing armature current and speed as functions of time during the transition from initial to final, steady-state conditions.
Q6. A. Describe the effect of the following loads on power factor: -
(i) Induction motors; (ii) Transformers; (iii) Partly loaded motors; (iv) Cage type motors.
B. In a 50-Kav, star-connected, 440-V, 3-phase, 50-Hz alternator, the effective armature resistance is 0.25 ohm per phase. The synchronous reactance is 3.2 ohm per phase and leakage reactance is 0.5 ohm phase. Determine at rated load and unity power factor:
(a) Internal e.m.f Ea (b) no-load e.m.f E0 (c) percentage regulation on full-load (d) value of synchronous reactance which replaces armature reaction.
Q9. Sketch a graph of starting current, and torque against the speed of rotation for a single cage motor. B. A 230V motor, which normally develops 10Kw at 1000 rev/min with an efficiency of 85%, is to be used as a generator. The armature resistance is 0.15Ohm and the shunt field resistance is 220Ohm. If it is driven at 1080 rev/min and the field current is adjusted to 1.1A by means of the shunt regulator what output in Kw could be expected as a generator, if the armature copper loss was kept down to that when running as a motor.
Q6. A. What is Prismatic Co-efficient (CP). Derive the formula CP = Cb/Cm , where Cb= Co-efficient of fineness and Cm = midship section area co-efficient.
B. The length of a ship is 18 times the draught. while the breadth is 2.1 times the draught. At the load water plane, the water plane area co-efficient is 0.83 and the difference between the TPC in sea water and the TPC in fresh water is 0.7. Determine the length of the ship and the TPC in fresh water.
Q10. (a). Explain the various efficiencies associated with propeller and shafting arrangement.
(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 0.30. 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.
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