Q7. A. Explain the effect on GM during the filing of a double – bottom tank. (6)
B. An oil tanker 160m long and 22m beam floats at a draught of 9m in seawater. Cw is 0.865. The midships section is in the form of a rectangle with 1.2m radius at the bilges. A midships tank 10.5m long has twin longitudinal bulkheads and contains oil of 1.4 m3/t to a depth of 11.5m. The tank is holed to the sea for the whole of its transverse section. Find the new draught. (10)
Q6. A. Describe the stability requirements of a ship for dry-docking.
b) A ship of 12000 tonne displacement has a rudder 15 m2 in area, whose centre is 5 m below the waterline. The metacentric height of the ship is 0.3 m and the centre of buoyancy is 3.3 m below the waterline. When travelling at 20 knots the rudder is turned through 30 degree. Find the initial angle of heel if the force Fr perpendicular to the plane of the rudder is given by:
Fr=577Av2 Sin a N
Allow 20% for the race effect. (10)
Q6. (A) Explain the concept of dynamical stability. (6)
b) A vessel of 8000 tonne displacement has 75 tonnes of cargo on the deck. It is lifted by a derrick whose head is 10.5m above the centre of gravity of the cargo and placed in the lower hold 9m below the deck and 14m forward of its original position. Calculate the shift in the vessel's centre of gravity from its original position when the cargo is: (10)
(i) just clear of the deck
(ii) at the derrick head
(iii) in its final position.
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)
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