Buoyancy and Floatation Sample Problems
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Sample Problems
Buoyancy
Reading on weighing scale (November 2018) - GERTC+
Volume of foam (November 2018) - GERTC+
Rise in tide to lift the anchor (November 2018) - GERTC+
Volume of balloon to raise a capsized banca: (November 2019) - GERTC+
Weight of wood floating in water (November 2019) - GERTC+
Volume of block in the upper liquid (November 2019) - GERTC+
Draft of the ship in fresh water (November 2019) - GERTC+
Situation (CE Board)
A rectangular barge weighing 200,000 kg is 14 m long, 8 m wide and 4.5 m deep. It will transport to Manila 20 mm diameter by 6 m long reinforcing steel bars.
If a draft (submerged depth of the barge) is to be maintained at 3 m, how many pieces of the bars can it carry? If density of salt water equal to 1026 kg/m³ and steel weighs 7850 kg/m³.
A. 9240
B. 6430
C. 9780
D. 9910
What is the draft from the barge when one half of its cargo is unloaded in fresh water?
A. 2.43 m
B. 2.56 m
C. 2.31 m
D. 2.68 m
If the draft of the barge in fresh water is equal to 2m, determine the number of bars that it can carry.
A. 1780
B. 1620
C. 1540
D. 1360
Situation (CE Board)
A hollow cylinder 1.5 m in diameter and 2.1 m long weighs 4107 N.
How many kN of lead weighing 110.02 kN/m³ must be fastened to the outside bottom to make the cylinder float vertically with 1.42 m submerged in fresh water?
A. 23.6 kN
B. 25.4 kN
C. 22.5 kN
D. 21.4 kN
How many kN of lead weighing 110.02 kN/m³ must be placed inside the cylinder float vertically with 1.87 m submerged in fresh water?
A. 26.35 kN
B. 30.54 kN
C. 23.48 kN
D. 28.31 kN
What additional load must be placed inside the cylinder to make the top of the cylinder flush with the water surface?
A. 3.987 kN
B. 3.564 kN
C. 4.254 kN
D. 3.665 kN