Trim and Stability Flashcards
The liquid mud tanks on your vessel measures 20’ x 18’ x 7’. The vessel’s displacement is 986 tons and the specific gravity of the mud is 1.6. What is the reduction due to 2 of these tanks being slack?
0.88
Find the relative density of dock water whose density 1,015 kgs / cu. m?
1.015
Your ship 12,000 tons displacement has a center of gravity 21.5 ft above the keel. You run aground and estimate the weight aground is 2,500 tons. The virtual rise in the center of gravity is _______.
5.66
Find the TPC in sea water of a vessel whose length and breadth of the waterplane at a particular draft are 130 meters and 23 meters respectively. Waterplane coefficient is 0.84.
25.74
What is the TPC of a box-shaped vessel 114 meters X 26.2 meters X 10 meters floating at an even keel draft of 5.16 meters in SW?
30.61
A vessel has deadweight carrying capacity at load displacement of 10,500 tons. Fuel, water and stores requires 1500 tons. Her cubic capacity is 500,000 cu.ft. What is the average stowage factor of a cargo that she could carry that would put her full and down?
55.55
A bulk freighter 580 ft in length, 60 ft beam, with a waterplane coefficient of 0.84, is floating in fresh water at a draft of 21’. How many long tons would it take to increase the mean draft by 1”?
67.6
A vessel is loading within the tropical zone. She will enter the summer zone after 6 days from departure. She consumes 45 tons of fuel and 8 tons of water daily. How many tons may she load over that allowed by her summer zone mark.
318
At any given draft the TPI of a vessel can be found by dividing the area of the water plane by:
420
You are going to load bales of wool having a stowage factor of 100 in # 3 lower hold which has a bale cubic of 62,000. How many tons of the wool can be stowed in the compartment, assuming 10% broken stowage?
558
The lower hold of your vessel has a bale capacity of 60,000 cubic feet. How many tons of cotton in bales having a stowage factor of 85 can be stowed in the lower hold, assuming a broken stowage of 20%?
565
You are loading a cargo of canned goods with a stowage factor of 65. If you allow 15% for broken stowage, how many tons can be loaded in a space of 55,000 cubic feet?
719
How many board ft of dunnage are in draft 4 ft wide, 1.5 ft high and 13 ft long?
936
A sling is rigged on a piece of a pipe weighing 1000 lbs.. The angle between the sling legs is 140 and the legs are of equal length. What stress is exerted on each sling leg when the pipe is lifted?
1469
The lower hold of your vessel has bale capacity of 45,000 cubic feet. How many cases of cargo weighing 450 lbs. and measuring 2.5 feet by 3 feet could be stowed in the hold, assuming a broken factor of 15 percent?
1700
In order to repair the sweat battens, you need to order 50 pieces of lumber of one inch x 6 inches x 12 feet. How many board feet should be ordered?
3,600
A tanker is loaded with 5,000 barrels of petroleum. The cargo was loaded at a temperature of 70 F, and the coefficient of expansion is .0004. What is the net amount in barrels of cargo loaded?
4980
Find the free surface constant for a tank that is 70 feet long, 35 feet wide and 25 feet deep. The specific gravity of the liquid in the tank is 0.78 and the ship is floating in salt water having a density of 1.026.
5,430.80
A cargo of 10,000 barrels of gasoline is loaded at a temperature of 90°F and a cargo temperature of 55°F is expected at the discharge port. Coefficient of expansion is 0.0007.
9790
A cargo of 10,000 barrels of gasoline is loaded at a temperature of 90°F, and a cargo temperature of 55°F, is expected on this voyage. It has a coefficient of expansion of 0.0006. How many barrels would you expect to discharge at your destination?
9790
A cargo of oil has a coefficient of expansion of 0.0005 per degree F. If this cargo is loaded at 70 F and a cargo temperature of 90 F is expected at the discharge port. How many barrels of cargo would you expect to unload if you loaded 10,000 barrels?
10,100
Find the displacement of your vessel, if the deduction of your vessel’s freeboard when loading in fresh water is 7.4 inches, the TPI is 52 tons at summer load draft.
15400
A vessel’s light displacement is 12,000 tons. It’s heavy displacement is 28,000 tons. When fully loaded it carries 200 tons of fuel and 100 tons of water and stores. What is the cargo carrying capacity in tons?
15,700
You have a shipment of lumber. Each piece is 3 inches thick, 3 inches wide and 15 feet long. If 2,000 pieces are loaded, this is equal to board feet of ______.
22,500
A vessel displacing 34,000 tons. A tank 80 ft long x 60 ft wide x 30 ft deep is half filled with fresh water (SG 1000). Calculate the free surface constant of the tank.
40100
A vessel will load 20 piles of wood. Each pile is 6 feet high, breadth is 6 feet and length is 10 feet. This is equal to how many board feet?
86,400
You are to load consignment of lumber. Each piece measures 3 inches thick, 12-inhes wide and 16 feet long. There are 30,000 pieces in the shipment. How many boar feet would be listed on the Bill of Lading?
96,000
You are to load a consignment of lumber. Each piece measures 2 inches, 10 inches wide and 16 ft long. There are 30,000 pcs. in the shipment. How many board ft would be listed on the bill of lading?
800,000
You are to load a consignment of lumber. Each piece measure 3-inches thick, 12-inches wide and 16-feet long. There are 30,000 pieces in the shipment. How many board feet would be listed on the Bill of Lading?
1,440,000
A ship is loaded to its summer displacement and is to proceed down river from a berth where the dock water RD is 1.004 to another berth where the dock water RD is 1.016. If the FWA is 260 mm, calculate the change in draft that will occur.
124.8 mm
A tank holds 130 tonnes when full of fresh water. Find how many tonnes of seawater it will hold.
133.3 tones
If the FWA of your vessel at summer draft is 8 inches, find the Dock Water Allowance if the density of the water is 1015.
3.2 inches
The GG’ Formula is used to solve for:
All of these
KM can be obtained from: I. Hydrostatic curves. II. A table in the ship’s stability booklet.
Either I or II
Which of the following quantities does the ship’s officer calculate in doing a transverse stability problem to determine GM? I. KG. II. KM.
I
Another expression for height of transverse metacenter is: I. Metacentric height. II. KM.
II
A ship is floating in dock water of density 1005 kg per cu.m. with a FWA of 140 mm. Find the change in draft when she passes from dock water to salt water.
112 mm
A ship is floating in dock water of density 1002 kg per cu.m. Find the change in draft when she passes from dock water to salt water if her FWA is 130 mm.
119.6 mm
When floating in fresh water at a draft of 6.5 m a ship displaces 4288 tonnes. Find the displacement when the ship is floating at the same draft in water of density 1015 kg per cu.m.
4,352.32 tonnes
A ship displaces 7,500 cu.m. of water of density 1,000 kg. per cu.m. Find the displacement in tonnes when the ship is floating at the same draft in water of density 1015 kg. per cu.m.
7,612.5 tonnes
A moment is: I. A weight. II. A distance
Either I or II
The product of displacement and GZ is: I. An indication of the vessel’s true stability. II. Righting moment.
Either I or II
A moment of 300 f00t - ton is created by a force of 15,000 tons. What is the moment arm?
0.02 ft
A ship’s FWA is 170 mm, and she is floating in dock water of density 1008 kg per cu.m. Find the change in draft when she passes from dock water to salt water.
115.6 mm
Your barge floats at a mean draft of 2.1 meters, the density of the water at the dock is 1020 kg per cubic meter. Solve the mean draft for the same mass displacement in salt water.
2m 5s 400ms
A vessel of 10,000 tons has 5,000 tons of cargo aboard. Existing KG is 27 feet. Solve for the new KG after the 5,000 tons of cargo is shifted up to 10 feet.
30.33 ft.
A ship is floating in dock water of density 1020 kg per cu.m. with a FWA of 190 mm. Find the change in draft when she passes from dock water to salt water.
38 mm
A ship has a FWA of 200 mm. Calculate the change in draft that will occur if the ship proceeds from SW to a berth where the RD of the dock water is 1.018.
56 mm
Free surface exists whenever: I. The surface of a liquid within a vessel is free to move. II. The surface of a movable dry bulk cargo is free to move.
Either I or II
The beam of a vessel is 65 feet. Find the GM if the rolling period 27 seconds.
1.12 feet
On a vessel displacing 8,000 tons, what is the reduction in metacentric height due to free surface when the tank 45 ft long and 45 ft wide is partly filled with salt water?
1.22 ft
Given a beam of 110 feet, find the approximate GM for vessel with a rolling period of 40 seconds.
1.46 feet
A vessel displacing 8,150 tons is inclined by 3.5° to starboard when a weight of 40 tons was moved to starboard at a distance of 23 feet from the centerline. From the vessel’s hydrostatic properties KM is found to be 29.06 feet. What is the GM?
1.84 feet
What distance will a weight of 100 tons have to be moved in order to remove a 3° list from a vessel? Displacement is 9,500 tons and GM is 3.0 feet.
14.94 feet
How much of a list will a vessel of 10,000 tons take after a weight of 250 tons is shifted 30 feet across the deck? GM is 2.5 feet.
16° 42’
Find the approximate GM for a vessel with a rolling period of 10 seconds and a beam of 96 feet.
17.8 feet
The rolling period of a vessel is 18 seconds. Find the GM if her beam is 75 feet.
3.4 feet
A weight is to be loaded to a ship of 3,200 tons displacement. The cargo is 200 tons at a distance of 60 feet from the original position of gravity. Find the shift of G.
3.53 feet
If a vessel has a displacement of 15,000 tons and a righting arm of 2 feet, what is the vessel’s righting moment if the ship has a GM of 3 feet?
30,000 foot-tons
A ship initially upright displaces 12,000 tonnes and has GM 0.6 meter. A weight of 60 tonnes already on board is shifted 14 meters horizontally across the deck. Calculate the resulting angle of list.
6.7°
Metacentric height method of expressing stability tendency i useful for: I. Small angles of inclination. II. Large angles of inclination.
I only
The formula given below describes which of the following types of rolling periods?
Natural rolling period
Stability calculations should be made:
Prior to the stowage plan being made
A vessel with the following corrected drafts: Fwd 11.2578 m, Aft 11.6587 m and Mid 11.400 m. Find the deflection.
0.0583m hogging
A vessel with the following corrected drafts: Fwd 12.3562 m, Aft 12.5215 m and Mid 12.500 m. Find the deflection.
0.0612m sagging
What is the reduction in metacentric height (GGo) due to free surface when a tank 60 feet long and 30 feet wide is partially filled with salt water, and is fitted with a centerline bulkhead? (The vessel has a displacement of 10,000 tons.)
0.1 foot
A vessel displacing 18,000 tons has a KG of 50 feet. A crane is used to lift cargo 20 tons from a supply vessel. When lifting, the head of the crane boom is 150 feet above the keel. What is the change in KG?
0.11 foot
Calculate the righting arm of a vessel whose GM is 0.65 meter when inclined at an angle of 12 degrees.
0.135 meter
A container vessel of 15,000 tons displacement is approching her berth at a speed of 3 knots. Its block coefficient is 0.79. Calculate the value of squat.
0.14 meter
The center of pressure on a bulkhead flooded on one side a depth, measures from the bottom is:
0h 19m 48s
You have approximately 24 tons of fish on deck. What will be the shift in the gravity after you shift the fish to the fish hold, a vertical distance of 8 feet? (total displacement 540 tons).
0.36 feet
A vessel with displacement of 300 tons have 15 tons of cargo on deck. What will be the shift in the center of gravity after you move the cargo to the hold a vertical distance of 8 feet?
0.4 feet
You have approximately 14 tons of fish on deck. What will be the shift in the center of gravity after you shift the fish to the fish hold a vertical distance of 6 ft? (total displacement is 210 tons)
0.4 ft
A reefer vessel of 13,000 tons displacement is approaching her berth at a speed of a 5 knots. Its block coefficient is 0.79. Calculate the value of squat.
0.40 meter
A box shaped vessel floats upright on an even keel in fresh water of density 1,000 kgs/cu.m. and the center of buoyancy is 50 cm. above the keel. Find the height of the center of buoyancy above the keel when the vessel is floating in salt water of density 1,025 kgs/cu.m?
0m 29s 280ms
On a vessel of 6,000 tonnes displacement, what is the reduction in GM due to free surface when a double bottom tank 20 meters long, 12 meters wide and 2 meters deep is only half filled with seawater?
0m 29s 520ms
A barge is navigating along a shallow water inside the harbour at a speed of 5 knots. Calculate the increase in draft due to squat.
0.5 meter
At sea vessel whose width is 20 meters and full period of roll is 18 seconds, what is her estimated, metacentric height?
0m 30s 600ms
To check the stability, a weight of 10 tons is lifted with the jumbo boom whose head is 45 ft. from the ship’s centerline. The clinometer show’s a list of 5.0 degree with weight suspended. Displacement including the weight is 9,000 tons. The GM while in this condition is:
0.57 foot
A barge 70 meter long, 12 meters wide with a depth of 8 meters has an amidship compartment 15 meters long, filled with cargo whose permeability is 45%. She is on even keel at 5.80 meters. Calculate the increase in draft if this compartment is bilged.
0.62 meters
To check stability, a weight of 40 tons is lifted with the jumbo boom, whose head is 40 feet from the ship’s centerline. The clinometer shows a list of 6.5 degrees with the weight suspended; displacement including weight is 16,000 tons. The GM while in this condition is:
0.88 foot
A box-shaped vessel 60 meters long, 11 meters wide with a depth of 8 meters has an empty amidship compartment 12 meters long. The vessel is on an even keel of 3.80 meters. Calculate the increase in draft if this compartment is bilged.
0.95 meters
The following particulars are given: W= 8,800 tons, Moment of Inertia (I) = 1,166 m4 is partly full of HFO of RD 0.95, KM 10.1 m, KG 9.0 m. Find the GM fluid.
0m 58s 440ms
When reading the draft marks, you notice the water level forward is 5 inches below the 10, and the water level aft is 3 inches below the top of the 10. What is the mean draft?
09’ 11”
A barge has a mean draft of 5.80 meters in sea water of density 1.025 tons/m3. On docking, the mean draft became 5.945 meters. What is the dock water density?
1,000 kgs/m3
A barge has a draft of 6.70 meters in sea water of relative density 1.025. On arrival at the discharging port, the draft was observed to be 6.786 meters. What density is she in?
1,012 kgs/m3
You are to load lead, SF 18 and cotton, SF 78. The available deadweight capacity is 1,600 tons of cargo and cubic capacity is 58,800 cu. ft. Disregarding broken stowage, how much of each cargo should be loaded to make her Full and Down?
1,100t lead, 500t cotton
You are at sea on a vessel that has a beam of 50 ft and you calculate the period of roll to be 22 seconds. What is the vessel’s metacentric height?
1.0 ft
A box-shaped vessel has a draft of 3.75 m in salt water. On entering a dock her draft becomes 3.84 m. find the density of the dock water:
1.001ton/cu.m.
A block measuring 6.0m x 2.0m x 1.5m and weighing 18.36 tonnes. In what relative density of water will the block be placed so that it will neither float nor sink.
1.020
A vessel has a displacement of 25,000 cubic meter in density 1.025 kg/cubic meter, find the density of water in which she would displace a volume of 25,123 cubic meter.
1.020
A box-shaped vessel 70 meters long, 12 meters wide with a depth of 8 meters has an empty amidship compartment 14 meters long. The vessel is on an even keel of 4.20 meters. Calculate the increase in draft if this compartment is bilged.
1.05 meters
A box shape vessel 20 m x 4 m x 2 m has a SW mean draft of 1.05 m. Calculate her draft in DW of RD 1.012.
1m 3s 780ms
The displacement of box-shaped vessel is 1028 tons. Her measurement is 150 feet x 30 feet x 14 feet, draft is 8 feet. The KG is at the waterline. The weight of 20 tons is shifted from forward towards thes stern at a distance of 100 feet. Calculate the change of trim if the calculated MCT1” is 1843 ft-tons.
1.09 inches
A cargo of 30 tons is to be loaded on deck 30 feet from the ship’s centerline. The ship’s displacement including the 30 tons cargo will be 9,000 tons and the GM is 5 feet. The list of the vessel after loading this cargo will be:
1.14 degrees
The liquid mud tanks on your vessel measure 22’L by 16’B by 7’D. The vessel’s displacement is 568 T and the specific gravity of the mud is 1.6. What is the reduction in GM due to 2 of these tanks being slack?
1.18 ft
A box shape vessel 24 m x 5 m x 3 m has a mean draft of 1.2 m in DW of RD 1.009. Calculate her draft in DW of RD 1.019.
1m 11s 280ms
On a vessel of 10,000 tons displacement, compute the reduction in GM due to free surface in a hold having free water on the tank top, the size of the hold is 40 feet long and 50 feet wide.
1.2 feet
A vessel with a displacement of 18,177.7 long tons and a KG of 52.0 feet discharges 200 long tons from a KG of 130 feet. To remain at draft, ballast is added at a height of 10 feet. What is the change in KG?
1.32 feet downward
The liquid mud tanks on your vessel measure 32 feet length by 15 feet wide by 8 feet deep. The vessel’s displacement is 640 tons and the specific gravity of the mud is 1.8. What is the reduction in GM due to 2 of these tanks being slack?
1.41 feet
A vessel displacing 30,500 long tons has a KG of 60 feet. A weight of 500 long tons is discharged from a VCG of 150 feet. What is the change in KG?
1.5 feet downward
A vessel displacing 29,500 long tons has a KG of 60 feet. A weight of 500 long tons is added at a VCG of 150 feet. What is the change in KG?
1.5 feet upward
A tank with a horizontal base and vertical sides is 10 meters deep and has a rectangular trunkway 1 meter high. The volume of the tank alone is 8,000 cubic meters and that the trunkway is 500 cubic meters. Find the ullage when 5,320 tons of vegetable oil of RD 0.7 is loaded.
1m 30s
Your vessel measures 119 feet long by 17 feet in beam. If the natural rolling period at a draft 5’-05” is 6 seconds, what is the GM?
1.58 feet
You are at sea on a vessel whose beam is 60 feet and full period of roll is 20 seconds. What is the estimated metacentric height of the vessel?
1.7 ft
Your vessel displaces 645 tons and measures 132’L by 34’B. What is the reduction in GM due to free surface if the fish hold (30’L by 26’ B by 8’D) is filled with 3.0 feet of water? (Each foot of water weighs 22.3 tons)
1.76 feet
Your vessel has a displacement of 19,800 tons. It is 464 feet long, and has a beam of 64 feet. You have timed its full rolling period to be 21.0 seconds. What is your vessel’s approximate GM?
1.8 ft
Your vessel has a displacement of 19,800 tons. It is 464 feet long, and has a beam of 64 feet. You have timed its full rolling period to be 21.0 seconds. What is your vessel’s approximate GM?
1.8 ft.
Your vessel has loaded 4 container on deck 55 feet from the centerline with a total weight of 52 T. the displacement is 17,000 T and has inclined 5°. What will be the vessel’s GM at the present condition?
1.92 feet
A vessel displacing 18,000 tons has TPI of 45 tons, her fresh water allowable will be:
10 inches
A ship’s waterplane has 7 ordinates. If the length of the waterplane is 60 meters, what is the common interval (h)?
10 meters
Find the displacement of a vessel if the angle of list is 1 °43’, GM is 3 feet, the weight to be shifted is 30 tons to a distance of 30 feet across her deck,.
10,000 tons
Find the displacement of a vessel if her GM is 3 feet, the weight to be shifted is 30 tons to a distance of 30 feet across her deck, the angle of list is 1º 43’.
10,000 tons
A rectangular tank on a tanker is 21 meters long, 26 meters wide and 18 meters deep. The mean draft is 12.2 meters. How much sea water will it accommodate if it is filled to full capacity?
10,074 tons
As a result of performing the inclining experiment it was found that a ship had an initial metacentric height of 0.5 meter. A mass of 40 tonnes, when shifted 10 meter transversely, had listed the ship 4.5 degrees. Find the ship’s displacement.
10,165 tonnes
A ship has an initial GM = 0.8 meter. When a mass of 50 tonnes is shifted transversely a distance of 15 meter across the deck, it causes a list of 5 degrees. Find the ship’s displacement.
10,715 tonnes
A vessel displacing 32,000 tons and a TPI of 72. How much will her draft increase when docking where the relative density is 1002.
10.2 inches
A vessel with the following corrected drafts: Fwd 10.5201 m, Aft 10.8250 m and Mid 10.685 m. Find the quarter mean draft.
10.6819 Meters
A ship floating at water density of 1015 kg/m3 displaces 45,250 cubic meters of water, when she shifted to another berth she displaced a new volume of 45,560 cubic meters. Find the density of water in the new berth, considering there is no change with the displacenebt
1008 kg/cu.m.
A ship floating at water density of 1020 kg/m3 displaces 46,460 cubic meters of water, when she shifted to another berth she displaced a new volume of 46,920 cubic meters. Find the density of water in the new berth, considering there is no change with the
1010 kg/cu.m.
A ship floating at water density of 1025 kg/m3 displaces 46681 cubic meters of water, when she shifted to another berth she displaced a new volume of 47141 cubic meters. Find the density of water in the new berth, considering there is no change with the sh
1015 kg/cu.m.
Find the thrust on a keel plate 10m x 2m when the draft of the ship is 5m in salt water.
102.5 tonnes
A box-shaped vessel, 150 feet x 30 feet x 14 feet, her draft is 8 feet and even keel. The KG is at the waterline. A weight of 20 tons is shifted from forward towards the stern at a distance of 100 feet. Calculate displacement.
1028 tons
The displacement of your ship is 6,400 tons when floating at relative density 1025. Your ship has to proceed to an anchorage where the relative density of water is 1008. Find how much weight of cargo to be discharged if your vessel is to remain at salt water draft.
106 tons
A vessel’s heavy displacement is 24,500 tons with light displacement of 13,300 tons. Fully loaded, it carries 300 tons of fuel and stores. What is the vessel’s deadweight?
11,200 tons
A semi-submersible object is floating in sea water displaces 717,500 cubic feet. Find the displacement.
11,498 long tons
You are on a vessel that has a metacentric height of 4 feet, and a beam of 50 feet. What can you expect the rolling period of the vessel to be?
11 seconds
A vessel displacing 2,400 tons and a KG of 10.8 meters, a weight of 50 tons already on board is raised 12 meters vertically. What is the new KG?
11.05 meters
A ship enters port with arrival sea water draft of 11.00 m. If her FWA is 254, what will be her draft in dock water with relative density of 1.009?
11.16 Meters
A ship with FWA of 254 mm and a Summer Draft of 11.184 m. To what draft which she may load in river of density 1.008?
11.357 Meters
The displacement of a vessel is 6,000 tonnes, KM being 7.3 meters, KG is 6.7 meters. She is floating upright. A cargo weighing 60 tonnes on board be shifted 12 meters transversely. Solve for the resultant list.
11°18.5’
To what depth can a ship with FWA of 212 mm submerge her load-line in dock water of density 1012 kg/m3?
110 mm
When reading the draft marks, you notice the water level forward is 4 inches below the 11 and the water level aft is 2 inches below the top of the 11. What is the mean draft?
11’-00”
You are in the process of loading 465,000 barrels of cargo oil. At 1030, on 5 November, you gauge the vessel and find that you have loaded 203,0000 barrels. At 1200, you find that you have loaded 219,000 barrels. If you continue loading at the same rate, you will finish at approximately:
1104, 6 November
What is the displacement of a barge which measures 85’ x 46’ x 13’ and is floating in salt water with a draft of ten feet?
1117 tons
A vessel shifted berth from water of density 1005 kg/m3 to water density 1025 kg/m3. If her FWA is 140 mm, by how much she will change her draft?
112 mm
You are planning an inclining experiment. How large a weight will be required to create a 4° list if the vessel’s displacement is 8,900 tons, estimated GM is 6.0 feet, and the distance that the weight can be moved off the centerline is 33 feet?
113.2 tons
A vessel with the following corrected drafts: Fwd 12.5201 m, Aft 12.8250 m and Mid 12.685 m. Find the quarter mean draft.
12m 40s 914ms
Your vessel is floating in dockwater whose density is 1005. Your fresh water allowance is 150 mm. How far can her S.W. mark be submerged when loaded so as to float at her mark in salt water whose density is 1025?
120 mm
A ship of 12,000 tons displacement is heeled by 6°. Find the moment of statical stability if her righting lever is then 0.1 m. Find her KG if her KM is 8.2 m.
1200 tm, 7.243 m
The present draft is 8.20 mtrs fwd and 8.60 mtrs aft. You want to load at your maximum load draft of 8.88 mtrs. If the TPC at this draft is 26, how much cargo remains to be loaded?
1248 tons
A vessel in a certain draft condition has a block coefficient of 0.77, k is equal to 30, TPI of 50 and breadth of the vessel is 60 feet. Solve for MTI.
1250.0 foot-tons/inch
What would be the angle of lool of a 6,300 ton displacement vessel when its GM = (-) 0.11 meter and BM = 4.1 meters.
13.04 degrees
A ship of 6,500 tons displacement has a GM of (-) 0.14 meter. If BM = 5.2 meters. Find the angle of loll.
13.06 degrees
Calculate the angle of loll of a 6,500 ton displacement vessel when its GM + (-) 0.12 meter and BM = 4.3 meters.
13.29 degrees
Find the angle of loll of a vessel with a GM = (-) 0.13 meter and BM = 4.6 meters. Displacement is 5,300 tons.
13.37 degrees
A vessel displacing 5,800 tons has a GM of (-) 0.14 meter and BM = 4.7 m. Calculate the Angle of Loll.
13.7 degrees
Find the displacement of your vessel, if the deduction of your vessel’s freeboard when loading in fresh water is 7.4 inches, the TPI is 52 tons at summer load draft.
15,400 tons
The length of your vessel is 480 feet, draft is 18 feet 7 inches forward and 22 feet 3 inches aft. TPI is 46, MCTI is 1130 ft-tons, CF is at amidships. A weight of 100 tons is loaded 180 feet forward from amidships. Solve change of trim.
15.93 inches by the head
By how much can a ship submerge her load-line in water density 1004 kg/m3, if her FWA is 185 mm?
155 mm
At the start of loading operations, drafts fwd = 6.30 meters, aft = 6.70 meters. After loading, a mean draft of 7.25 meters was observed. If TPC is 22, how much cargo was loaded?
1650 tons
The new draft is 17 feet and 2.7 inches inwater of density 1025. Her fresh water allowance is 7.25 inches. Find the old draft if your vessel is floating in a water of density 1005.
17 feet 8.50 inches
A vessel floats at a draft of 17 feet 8 -1/2 inches in water of density 1005. If her Fresh Water Allowance is 7-1/4 inches. Find her draft on passing into water of Density 1025.
17 ft. 2.75 in.
A deep tank is half full of water, which has a rectangular free surface, 30 feet long and 25 feet wide. The ship displaces 2050 tons, her KG is 18.7 feet if the effect of free surface is ignored. Solve her actual KG, allowing for the effect of free surface.
19.24 feet
A vessel shifted berth from water of relative density 1005 to water of relative density 1024. If her FWA is 254 mm, by how much she will change her draft?
193 mm
A vessel shifted berth from water of density 1005 to water density 1024 kg/m3. If her FWA is 254 mm, by how much she will change her draft?
193mm
As a result of performing the inclining experiment it was found that a ship had an initial metacentric height of 1 meter. A mass of 10 tonnes, when shifted 12 meter transversely, had listed the ship 3.5 degrees. Find the ship’s displacement.
1962 tonnes
Your vessel’s forward draft is 24’ 00” and the aft draft is 26’ 06”. The trim is:
2’ 06” by the stern
A vessel is floating in water of density of 1020, her displacement is 6249 tons, GM of 2.2 feet. Find her moment of statical stability at an angel of heel of 9°.
2,150 foot-tons
A block measuring 5.0m x 1.0m x 0.5m. Will be placed in water of relative density 1.012. What will be its weight so that it will neither float nor sink?
2,530 kgs
A box-shaped vessel 45 meters long, 10 meters wide and 8 meters deep is floating at a mean draft of 6.2 , meters in a dock where the density is 1.010 tons/m3. Find its displacement.
2,818.tons
What is the height of the center of buoyancy above the keel of a boxed-shaped vessel 60 meters X 10 meters with an even keel draft of any 4 meters in SW?
2m
The length of your vessel is 480 feet, draft is 18 ft. 17 in. forward and 33 ft. 03 in. aft. TPI is 46, MCT1” is 1130 ft-tons, C.F. is at amidships. A weight of 100 tons is loaded forward from amidship. Solve for the change of mean draft.
2.17 inches
The length of your vessel is 480 feet, draft is 18 ft. 7 inches forward and 33 ft. 3 inches aft. TPI is 46, MCT1 is 1130 ft-tons, CF is at amidships. A weight of 100 tons is loaded forward from amidships. Calculate parallel sinkage.
2.17 inches
What is the metacentric height of the vessel with 1000 tons light displacement, 3000 tons GRT and 6 meters initial KG loaded 3500 tons cargo with 6 meters KG, and loaded draught KM of 7 meters?
2.34 meters
Find the immersion if a vessel’s displacement is 10,000 tons, TPI is 50, difference in densities is 12.
2.4 inches
A vessel displacing 28,000 long tons has a KG of 60 feet. A weight of 500 long tons is discharged from a VCG of 150 feet. To maintain draft, ballast is added at a VCG of 10 feet. What is the change in KG?
2.5 feet downward
Your vessel has a fwd draft of 26’ 11” and aft draft of 29’ 07”. How many tons of cargo can be loaded before the vessel reaches a mean draft of 28’ 06” if TPI is 69?
207 tons
Your vessel has a fwd draft of 26’ 11” and aft draft of 29’ 07”. How many tons of cargo can be loaded before the vessel reaches a mean draft of 28’ 06” if TPI is 69?
207 tons
What is the trim of your vessel if the forward draft is 22’09” and the aft draft is 25’06”?
2’09” by the stern
A ship is inclined by moving a weight of 30 tons, a distance of 30 ft from the centerline. A 28 ft pendulum shows a deflection of 12 inches. Displacement including weight moved is 4,000 tons. KM is 27.64 ft. What is the KG?
21.34 ft
If your vessel has a GM of one foot and a breadth of 50 feet, what will be your full rolling period?
22 seconds
A ship 128 meters long has a maximum beam of 20 meters at the waterline and coefficient of fineness of 0.85. Calculate the TPC at this draft?
22.3 tonnes
Your vessel is at a dock where the density is 1012. To what draft will she be loaded so as to draw 23’ 06” when she gets to sea where the density is 1026?
23’ 10”
A weight of 250 tons is loaded on your vessel 95 ft fwd of the tipping center. The vessel’s MTI is 1000 ft-ton. What is the total change of trim?
23.75 inches
The mean load draft of a vessel is 24 feet 5 inches in salt water. What should be her draft when loading in dock water density of 1005?
24 feet 10.8 inches
Your vessel is on an even keel. The MTI is 1000 ft-tons, how many tons of cargo must be loaded in no. 4 hold which is 100 ft. abaft of the tipping center, if she is to have a 2-feet drag?
240 tons
Your vessel is on an even keel. The MTI is 1000 ft-tons, how may tons of cargo must be loaded in no. 4 hold which is 100 ft. abaft of the tipping center, if she is to have a 2-feet drag?
240 tons
The metacentric height of your vessel is 34 centimeters. Her displacement at summer draft is 35,000 tonnes, her beam is 18.3 meters. Find her rolling period.
25 sec.
Find the rolling period of a vessel if her beam is 90 feet and a GM of 2.5 feet.
25 seconds
The GM of a vessel is 6.3 feet and her displacement in salt water is 3,200 tons, I is 2,880,000 ft4. If her KB is 5.9 feet, find her KG.
25.3 feet
A weight of 350 tons is loaded on your vessel 85 feet forward of the tipping center. The vessel’s MTI is 1150 foot-tons. What is the total change of trim?
25.85 inches
Your vessel displaces 14,500 tons, with a longitudinal CG 147.5 ft. aft of the FP. If you pump 80 tons of ballast from forward to aft through a distance of 480 feet, your new CG will be:
250.15 feet aft of FP
Your vessel displaces 14,500 tons, with a longitudinal CG 247.5 ft aft of the FP. If you pump 80 tons of ballast from fwd to aft through a distance of 840 ft, your new CG will be _________.
250.15 ft aft of FP
A ship is inclined by moving a weight of 40 tons (YCG of 46 feet) a distance of 34 feet from the centerline. A 50 foot pendulum shows deflection of 20 inches. The vessel displacement is 7,715 tons. The KM is calculated as being 31.5 feet. What is the KG of the light ship:
26.22 feet
Find the new height of the center of gravity after the shift of 1,500 tons of cargo from the main deck to the hold a distance of 40 feet. The vessel has a displacement of 30,000 tons and a KG of 30 feet.
28 feet
A ship has an initial GM = 1.0 meter. When a mass of 75 tonnes is shifted transversely a distance of 20 meter across the deck, it causes a list of 3 degrees. Find the ship’s displacement.
28,620 tonnes
The moment created by a force of 12,000 tons and a moment arm of 0.25 foot is:
3,000 ft-tons
A box shape vessel 60 m x 10 m x 10 m floats at an even keel draft of 6 m in DW of RD 1.020. Find her KB in DW of RD 1.004.
3m 2s 880ms
A vessel displacing 740 tons and measures 141 feet long, breadth 34 feet. What is the reduction in GM due to free surface if the hold below measuring 41 feet long 30 feet wide and 9 feet deep is filled 2.5 feet of water, each foot of water weighs 35.1 tons?
3.18 feet
A ship of displacement 2,000 tons and KG 4.2 m, loads 300 tons of cargo (KG 2.0 m), 200 tons of cargo (KG 3.2 m) and 500 tons of bunkers (KG 1.0 m). Find her final KG.
3m 22s 800ms
A box-shaped lighter draws 3.73 m in water of relative density 1.010 t/m3. What will be her draft in sea water?
3.675 meters
Determine the resultant trimming moment created by a 138 tonnes of cargo loaded 15 meters aft of the LCF and 95 tonnes of cargo loaded 25 meters forward of the LCF:
305 tonnes meter (by the head)
Determine the resultant triming moment created by 138 tonnes of cargo loaded 15 meters aft of the LCF and 95 tonnes of cargo loaded 25 meters forward at the LCF.
305 tonnes-meter (by the head)
Your vessel displaces 28,500 tons and has a KG of 30 ft., 1,500 tons are discharges with a center of gravity of 12 feet above the keel. What is the height of the center of gravity?
31 feet
A barge of triangular cross section is 20 m long, 12 m wide and 6 m deep.Find its displacement if it floats at a draft of 4 m in SW.
328 t
A tanker has a mean draft of 32’ 05”. At this draft, the TPI is 178. The mean draft after loading 1,200 tons will be:
33’-00”
Your vessel has a deadweight capacity of 5,000 tons and a cubic capacity of 300,000 cu.ft. You are to load lead, with a stowage factor of 18, and cotton, with a stowage factor of 80. If you load full and down, how much cotton should you load?
3387 tons
Your vessel has a deadweight capacity of 5000 tons and a cubic capacity of 300,000 cu. ft. You are to load lead SF 18 and cotton SF 80. If you are to load Full and Down find how much cotton should be loaded.
3387 tons
Find the rolling period of a vessel with a GM of 1.5 feet. Her beam is 100 feet.
36 seconds