Grade 8

Grade 8Measurement and units


Density measurement and applications


Density is an important concept in physics that helps to understand the properties of substances. It is essential for understanding how substances will behave in different situations. In this explanation, we will explore what density is, how it can be measured, and what some of its applications are.

What is density?

Density is defined as the mass of an object divided by its volume. It is a measure of how much matter occupies a given space. The formula to calculate density is:

Density (ρ) = Mass (m) / Volume (V)

Here, ρ (rho) is the symbol for density, m is the mass, and V is the volume. The standard unit of density is kilogram per cubic meter (kg/m3). However, grams per cubic centimeter (g/cm3) is also commonly used in many contexts.

Volume Mass

Measuring density

Step 1: Measuring the mass

Mass can be measured using scales. The mass of an object is the amount of matter it contains and is usually measured in grams or kilograms. For example, if you have a metal block, place it on a scale to find its mass.

Step 2: Measuring the volume

Volume is the amount of space occupied by an object. For objects with regular shapes, volume can be calculated using mathematical formulas. For solids with regular shapes:

  • Cube: volume = side3
  • Rectangular prism: volume = length × width × height
  • Cylinder: Volume = π × radius2 × height
Length Width Height

For irregularly shaped objects, a common way to measure volume is by water displacement. This is how it works:

  1. Fill a graduated cylinder with a known quantity of water.
  2. Immerse the object completely in the water.
  3. Note the new water level. The difference in water levels gives the volume of the object.

Density in everyday life

Density explains why some objects float while others sink. For example, if the density of an object is less than the density of water (1 g/cm3) it will float in water. This principle is used in designing ships and submarines.

ship water surface

Applications of density

1. Content identification

Density can be used to help identify substances because each substance has a specific density. By comparing the calculated density of a substance to known values, the substance can be identified. For example, the density of gold is about 19.3 g/cm3. If you find an object and its density matches the density of gold, it may be made of gold.

2. Designing and engineering

Engineers use the concept of density to choose suitable materials for various structures. For lightweight designs, such as airplanes or racing cars, materials with low density but high strength are preferred.

3. Density in astronomy

In astronomy, density is important for understanding the composition of planets and stars. By measuring a planet's density, scientists can infer what it is made of. Terrestrial planets like Earth have high densities because they are composed mostly of rock and metal, while gaseous planets have low densities.

Practice problems

Here are some practice problems to apply your understanding of density:

  1. A block has a mass of 200 g and a volume of 50 cm3. What is its density?
  2. An irregular stone displaces 100 mL of water when immersed in water. If its mass is 250 g, what is the density of the stone?
  3. A container of volume 2 liters is filled with oil. If the density of the oil is 920 kg/m3, what is the mass of the oil?
Density (ρ) = Mass (m) / Volume (V)

Try solving these problems to test your understanding of density.

Conclusion

Understanding density is essential to understanding how and why objects act in the physical world. Its applications are varied, ranging from identifying unknown substances to playing a vital role in the engineering and understanding of celestial bodies. The next time you see an object floating or sinking, consider its density to understand its behavior. This fascinating property of substances is the deciding point of the complex laws of physics.


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