Water that lies between these two extremes is termed Dock Water (DW). The relative density of the oil was 0.84 in other words, the density of the oil is 0.84 times that of fresh water!ġ.1.3 Density of water in which a ship typically floats A ship is presumed to always float in water that lies in the following density range: Fresh water (FW): In the previous example the density of the oil was 0.84 t/m3.
The density of fresh water is 1.000 t/m3. This is simply a ratio of the density of the substance in question to that of Fresh Water. If 50 tonnes of fuel oil (density 0.84 t/m3) is loaded what will be the sounding (level) of oil in the tank? Solution Mass = Volume × Density 50 = (4.2 × 3.4 × sounding) × 0.84 Sounding =ġ.1.2 Relative Density (RD) Quite often the Relative Density (RD) of a substance is quoted instead of Density. Solution Mass = Volume × Density Mass = (12 × 8 × 4) × 1.025 Mass = 393.6 tonnesĮxample 4 A fuel oil tank has length 4.2 m, breadth 3.4 m and a depth of 6.0 m. Calculate the mass of salt water ballast, density 1.025 t/m3, that can be loaded into the tank. Solution Mass = Volume × Density Therefore:Ġ.389 = 0.389 = 2.701 t/m 3 (0.8 × 0.6 × 0.3) 0.144Įxample 3 A rectangular ballast tank is 12 m long, 8 m wide and has a depth of 4 m. Solution Mass = Volume × Density Mass = (0.1 × 2.2 × 6.0) × 7.80 Mass = 10.296 tonnesĮxample 2 A block of aluminium measures 0.8 m × 0.6 m × 0.3 m and has a mass of 0.389 tonnes. Tonnes (t) cubic metres (m3) tonnes per cubic metre (t/m3)Įxample 1 A piece of steel measures 0.1 m × 2.2 m × 6.0 m and has a density of 7.80 t/m3. This can be expressed as:įor ship stability purposes the units commonly used are: mass: volume: density: Applies (2) and (3) to calculations based on the flotation of box-shaped vessels.ġ.1.1 Density The density of any given substance is its mass per unit volume. Understand the change in draught/freeboard that will occur when a box-shaped vessel moves between water of different densities. Understand the terms Density, Mass and Volume and be able to complete simple calculations relating to these terms. Learning Objectives On completion of this section the learner will achieve the following: 1.
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