Q7. (a) What is Freeboard of a Ship? Why oil tankers have less freeboard? (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 5m long. The bottom of the barge is lined with teak (rd 0.805) 120mm 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) With the aid of delta and star connection diagrams, state the basic equation from which the delta-star and star- delta conversion equation can be derived. (6) B) Three batteries A, B, and C have their negative terminals connected together. Between the positive terminals of A and B there is a resistor of 0.5 ohm and between B and C there is a resistor of 0.3 ohm Specifications of the three batteries are given below. Battery A 105 V, Internal resistance 0.25 ohm Battery B 100 V, Internal resistance 0.2 ohm Battery C 95 V, Internal resistance 0.25 ohm Determine the current values in the two resistors and the power dissipated by them. (10)
Q4. (a) Describe the normal criteria used for setting thermal protection relays and their
advantage compared to magnetic types. (6) (b) The low-voltage release of an a.c. motor-starter consists of a solenoid into which an iron plunger is drawn against a spring. The resistance of the solenoid is 35 Ω. When connected to a 220V, 50Hz, a.c. supply the current taken is at first 2A, and when the plunger is drawn into the ‘full-in” position the current falls to 0.7A, Calculate the inductance of the solenoid for both positions of the plunger, and the maximum value of flux-linkages in weber-turns for the “full-in” position of the plunger. (10)
Q5. a) What is leakage flux as it applies to the iron-core transformer? How is it taken into account in the analysis of the transformer? (6)
b) The following results were obtained on a 50 kVA transformer: open circuit test-primary voltage, 3300 V; Second voltage, 415 V: primary power, 430 W. Short circuit test-primary voltage, 124 V: primary current, 15.3 A; primary power, 525 W; secondary current, to be assumed at full load value. Calculate:
(i) The efficiencies at full load and at half load for 0.7 power factor.
(ii) The voltage regulations for power factor 0.7 (i) lagging, (ii) leading
(iii) The secondary terminal voltages corresponding to (i) and (ii) (10)
Q4.a) List the factors that determine the starting torque of the three-phase induction motor. How does this torque generally compare with the value of the rated torque (6)
b) An 18.65 KW, 6 Pole, 50 Hz, 3 phase slip ring induction motor runs at 960 rpm on full load with a rotor current per phase of 35 A allowing 1 KW for mechanical losses, find the resistance /phase of three-phase winding. (10)
Q8. The half-ordinates of a ship’s water-plane, which is 80 m long, commencing from forward at equal intervals, are as follows: 0.2, 4.0, 5.0, 5.2, 5.0, 4.0 and 0.2 m respectively. Calculate the area of the water-plane using Simpson’s First Rule.
Q6. A. Explain distribution factor and pitch factor for alternator windings.
B. A 3phase, 4pole 24 slot alternator has its armature coils short pitched by one slot. Find the distribution factor and pitch factor.
Q8. A. What is meant by “Resonance” in RLC circuits? Compare the series and parallel resonance circuits.
B. Find the frequency at which the following circuit resonates.
Q8. An AC Voltage Of 24 V is connected in series with the silicon diode and load resistance 500 Ohm having forward resistance 1O Ohms. Calculate the peak output voltage.
Q6. A. A series circuit having resistance, Inductance and capacitance is to be operated on a constant voltage supply of available frequency. Indicate graphically how changes will take place in the resistive terms, reactive terms, i.e. capacitive reactance and inductive reactance. (6)
B. A resistance of 130 Ω and a capacitor of 30µF are connected in parallel across a 230 Volt, 50Hz supply. Find the current in each component, total current, phase angle and the power consumed. (10)
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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