Certification Assistance for Marine Engineers

Canadian Third Class ME 
Mathematics

In Canada, Transport Canada administers the Marine Engineering examination process; visit the Training Page for details on the process. The actual exam consist of nine (9) questions randomly drawn from a question bank of the various subject. Six (only) must be answered in a 3.5hrs time frame. The exam questions are similar to these, presented below, and are drawn heavily from similar question in the Reed's Marine Engineering series of books. 
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Disclaimer
Transport Canada has ask us to advise users of this webpage to keep in mind that these questions are not the exact questions found in their exams. Martin's Marine Engineering Page - www.dieselduck.net is not affiliated with Transport Canada and these questions have been gathered from various sources.

As I come across more questions, I will post them - if you have some, submit here.

Martin

 

1. A counter reads 148670 at 14:36, and at 16:00 it reads 159690. What have been the average revolutions per minute?

2. How many bolts, each 100 mm long, can be made from a steel bar 5 m long? Allow 2 mm for each saw cuts.

3. The fuel consumed by a ship in 6.1 days is 96 t. How much will it consume in 15.0 days?

4. A windlass drum has a diameter of 0.8 m. Calculate the length (m) of rope taken in when the drum turns through 16 revolutions.

5. The base of a triangle is 66 cm and the perpendicular 12cm, height is 50 cm. What is the area of the triangle (m )?

6. A boiler tube is 2 m long, 77 mm inside diameter and the thickness of the tube wall is 6 mm. Calculate the volume of metal in the tube.

7. The rim of a cast iron flywheel is 1.5 m outside diameter and 1.2 m inside diameter. If the rim is 0.25 m wide and the density of cast iron is 7.2 t/mj find the mass of the flywheel rim.

3. Calculate the resistance of a circuit having a potential difference of 110 V and a current of 40 A.

9. A simple spur gear train consists of a 36 tooth wheel turning 180 revolutions per minute meshing with a 15 tooth wheel. What is the speed of the 15 toothed wheel?

10. A single cylinder double-acting pump has a cylinder diameter of 150 mm and a stroke of 300 mm. The pump is working on sea water of relative density 1.03 at the rate of 50 working strokes per minute. Calculate the mass of warer pumped per hour.

11. An electric motor power supply is equivalent to 120 kW while the output power is 108 kW. What is the efficiency of the motor? 

12. Calculate the speed of a motor car (m/s) that is traveling at a speed of 100 km/h.

13. Express an angle of 30 in radian measure.

14. Calculate the stress (MPa) in a wire 1 mm diameter when supporting a load of 120 W.

15. The propeller pitch is 5m, the slip is 10% and the engine turns 95 revolutions per minute. What is the speed of the ship in knots?

Note: 1 nautical mile = 1852 m.

16. An engine turns at 250 revolutions per minute and its stroke is 450 mm. Find the average piston speed in metres per minute, and the speed of the centre of the crank pin in metres per minute.

17. On a particular day the barometer reads 760 mm of mercury. Calculate the equivalent pressure in kPa.

Note: Relative density of mercury = 13.6 2
Gravitational constant (g) = 9.81m/s

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Disclaimer
Transport Canada has ask us to advise users of this webpage to keep in mind that these questions are not the exact questions found in their exams. Martin's Marine Engineering Page - www.dieselduck.net is not affiliated with Transport Canada and these questions have been gathered from various sources.