A ship propelled by a turbine rotor which has a mass of 5 tonnes and a speed of 2100 r.p.m. The rotor has a radius of gyration of 0.5 m and rotates in a clockwise direction when viewed from the stern. Find the gyroscopic effect when the ship sails at a speed of 30 km/h and steers to the left in a curve having 60 m radius.

A ship propelled by a turbine rotor which has a mass of 5 tonnes and a speed of 2100 r.p.m. The rotor has a radius of gyration of 0.5 m and rotates in a clockwise direction when viewed from the stern. Find the gyroscopic effect when the ship pitches 6 degree above and 6 degree below the horizontal position. The bow is descending with its maximum velocity. The motion due to pitching is simple harmonic and the periodic time is 20 seconds.

A

6075 N-m

B

7075 N-m

C

8075 N-m

D

9075 N-m

The turbine rotor of a ship has a mass of 8 tonnes and a radius of gyration 0.6 m. It rotates at 1800 r.p.m. clockwise, when looking from the stern. Determine the gyroscopic couple, if the ship travels at 100 km/hr and steer to the left in a curve of 75 m radius.

A

100.866 kN-m

B

200.866 kN-m

C

300.866 kN-m

D

400.866 kN-m

Two cargo ships A and B start from the same port. Ship A sails 35 miles West, then it turns right and sails 75 miles. In the meanwhile Ship B sails 105 miles North, then it turns left and sails 35 miles, then it turns North and sails 45 miles. Where is ship A with respect to ship B?

A

225 miles South

B

75 miles North

C

75 miles South

D

225 miles North

Two ships start from the same port. Ship A sails 45 miles East, the it turns right and sails 60 miles. In the meanwhile, Ship B sails 125 miles South, then it turns left and sails 45 miles, then it turns South and sails 15 miles. Where is Ship A with respect to Ship B?

A

80 miles North

B

80 miles South

C

200 miles North

D

200 miles South

The turbine rotor of a ship has a mass of 3500 kg. It has a radius of gyration of 0.45 m and a speed of 3000 r.p.m. clockwise when looking from stern. Determine the gyroscopic couple upon the ship when the ship is steering to the left on a curve of 100 m radius at a speed of 36 km/h.

A

11.27 kN-m

B

22.27 kN-m

C

33.27 kN-m

D

44.27 kN-m

The rotor of a ship rotates in clockwise direction when viewed from stern and the ship takes a right turn. The effect of gyroscopic couple acting on it will be to raise the stern and lower the bow.

A

True

B

False

The turbine rotor of a ship has a mass of 3500 kg. It has a radius of gyration of 0.45 m and a speed of 3000 r.p.m. clockwise when looking from stern. Determine the gyroscopic couple upon the ship when the ship is pitching in a simple harmonic motion, the bow falling with its maximum velocity. The period of pitching is 40 seconds and the total angular displacement between the two extreme positions of pitching is 12 degrees.

A

3.675 kN-m

B

4.675 kN-m

C

5.675 kN-m

D

6.675 kN-m

The rotor of a ship rotates in clockwise direction when viewed from stern and the ship takes a left turn. The effect of gyroscopic couple acting on it will be

A

to raise the bow and stern

B

to lower the bow and stern

C

to raise the bow and lower the stern

D

to raise the stern and lower the bow

The rotor of a ship rotates in clockwise direction when viewed from the stern and the ship takes a left turn. The effect of the gyroscopic couple acting on it will be

A

to raise the bow and stern

B

to lower the bow and stern

C

to raise the bow and lower the stern

D

to lower the bow and raise the stern

The heavy turbine rotor of a sea vessel rotates at 1500 r.p.m. clockwise looking from the stern, its mass being 750 kg. The vessel pitches with an angular velocity of 1 rad/s. Determine the gyroscopic couple transmitted to the hull when bow is rising, if the radius of gyration for the rotor is 250 mm.

A

4.364 kN-m

B

5.364 kN-m

C

6.364 kN-m

D

7.364 kN-m

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