Q9. a) Explain the term Angle of loll and state the dangers it poses to a vessel. What action to be taken to correct angle of loll. (6)
B. A forward deep tank 12 m long extends from a longitudinal bulkhead to the ship’s side. The widths of the tank surface measured from the longitudinal bulkhead at regular intervals are 10, 9, 7, 4 and 1 m. Calculate the second moment of area of the tank surface about a longitudinal axis passing through its centroid. (10)
Q8. A ship 96 m long floating at 5 m fwd draft and 6.4 m aft draft. MCTC 180 tm, TPC 16. COF is 2 m abaft of midships. Find the location where a weight of 50 t should be placed so as to keep the aft draft constant. (16)
Q8. a) What is the effect of density of water on draught and TPC? (6)
b) A ship of 15000 t displacement floats at a draught of 7 m in water of RD 1.000. It is required to load the maximum amount of all to give the ship a draught of 7 m in sea water of RD 1.025. If the water plane area is 2150 m², Calculate the mass of oil required. (10)
Q6. a) State Ohm's Law. (3)
b) State the limitations of Ohm's Law. (3)
c) 3 resistors of value 2 Ω, 4 Ω and 8 Ω are connected in series across a supply of 42 V. Find the current taken from supply and voltage drop across each resistor. (10)
Q9. The following are the results of measurements taken at intervals over a half cycle of alternating voltage:
Time (t milliseconds) 0 0.45 0.95 1.5 2.1 2.5 3.1 3.9 4.5 5.0
Voltage (V volts) 0 20 36 40 37.5 33 32 31 20 0 Calculate the R.M.S value, average value and frequency of the wave. (16)
Q7. A 24V emergency battery is to be charged from the 110V ship's mains when the e.m.f. per cell has fallen to a minimum value of 1.8V. The battery consists of 12 cells in series, has a capacity of 100 Ahr at a 10 hr rate and the internal resistance is 0.03Ω/cell. If charging continues until the voltage per cell rises to 2.2V, find the value of the variable resistor needed to control the charging. The charging current can be assumed to be equal to the maximum allowable discharge current (16)
Q7.a) Explain the process of voltage buildup in a self-excited shunt generator. (6)
b) A shunt-wound generator has a magnetisation-curve given by the figures below. The total resistance in the field circuit is 20 Ohm and the armature resistance is 0.02 Ohm. With the machine on load, estimate the e.m.f. generated and the armature current when the terminal voltage of the machine is 140V. (10)
Field current
(I)_amperes 1.2 2.8 5.0 7.0 7.7 9.0 11.0 Generated e.m.f. (e)_Volts 46 88 126 149 154 162 168
Q9. (a) Describe water pressure loads on the ship's hull. (6)
(b) The 1/2 ordinates of a waterplane 120 m long are as follows: (10)
Section AP 1/2 1 1½ 2 3 4 5 6 7 8 8½ 9 9½ FP
½ ord 1.2 3.5 5.3 6.8 8.0 8.3 8.5 8.5 8.5 8.4 8.2 7.9 6.2 3.5 0 m
Calculate:
(a) Waterplane area
(b) Distance of centroid from midships.
Q5. With reference to three phase induction motors:
a) Explain the phenomenon of crawling and cogging in these motors (6)
b) A three-phase induction motor is wound for four poles and is supplied from a 50 Hz System calculate:
a) The synchronous speed
b) The speed of rotor when the slip is 4 per cent.
c) The rotor frequency when the speed of the rotor is 600 r/min. (10)
Q6. A) What is back emf? Derive the relation for the back emf and the supplied voltage in terms of armature resistance. (6)
b) A three-phase induction motor is wound for four poles and is supplied from a 50 HZ system.
(i) The synchronous speed
(ii) The speed of the rotor when the slip is 4 percent
(iii) The rotor frequency when the speed of the rotor is 600 r/min. (10)
Q5. A 400V, 4-pole, 50 Hz, 3-phase, 10 hp, star connected induction motor has a no load slip of 1% and full load slip of 4%, find the following:
(i) Syn speed
(ii) No -load speed
(iii) Full load speed
(iv) Frequency of rotor current at full load
(v) Full – load torque (16)
Q6. a) Describe the working of a single-phase full wave rectifier with a resistive load. Draw the load voltage and current waveforms. (8)
b) Diode half wave rectifier supply a resistive load of 100Ω from a 100 V ac r.m.s voltage source. The diode is a resistance of 5Ω during conduction state. Calculate
i) The DC output voltage
ii) DC average load current (8)
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