Ship Stability for Masters and Mates, Sixth edition – Consolidated 2006

Chapter 3: Density and Specific Gravity

Overview

Density is defined as mass per unit volume . For example, the mass density of


The specific gravity (SG) or relative density of a substance is defined as the ratio of the weight of the substance to the weight of an equal volume of fresh water.

If a volume of one cubic metre is considered, then the SG or relative density of a substance is the ratio of the density of the substance to the density of fresh water; i.e.


or


Example 1

Find the relative density of salt water whose density is 1025 kg per cu. m.


Example 2

Find the density of a fuel oil whose relative density is 0.92.


Example 3

When a double-bottom tank is full of fresh water it holds 120 tonnes. Find how many tonnes of oil of relative density 0.84 it will hold.


or


Example 4

A tank measures 20m 24m 10.5m and contains oil of relative density 0.84. Find the mass of oil it contains when the ullage is 2.5m. An ullage is the distance from the surface of the liquid in the tank to the top of the tank. Asounding is the distance from the surface of the liquid to the base of the tank or sounding pad.


Fig. 3.1


Example 5

A tank will hold 153 tonnes when full of fresh water. Find how many tonnes of oil of relative density 0.8 it will hold allowing 2% of the oil loaded for expansion.


Ans . =

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