Understanding Mild Steel Density Calculation

The question asks for the density of mild steel in units of quintal per cubic meter. To solve this, we first need to know the standard density of mild steel and then perform a unit conversion.

Standard Density of Mild Steel

The standard density of mild steel is commonly known. It represents the mass of mild steel contained in a unit volume.

• The approximate density of mild steel is 7850 kilograms per cubic meter ($\text{kg/m}^3$).

Unit Conversion: Kilograms to Quintals

The question requires the density in quintals, so we need to convert the mass unit from kilograms (kg) to quintals.

• A quintal is a historical unit of mass.
• In many regions, 1 quintal is defined as 100 kilograms.
• So, $\text{1 quintal} = \text{100 kg}$.
• Conversely, $\text{1 kg} = \frac{1}{100} \text{ quintal}$.

Calculating Density in Quintal per Cubic Meter

Now we can convert the density from $\text{kg/m}^3$ to $\text{quintal/m}^3$. We have the density in $\text{kg/m}^3$ and need to convert the kilograms part to quintals.

Density of mild steel = $\text{7850 kg/m}^3$

To convert kg to quintal, we divide by 100 (since 1 quintal = 100 kg).

Density in quintal/m$^3$ = $\text{7850} \times \left(\frac{\text{1 quintal}}{\text{100 kg}}\right) / \text{m}^3$

Density in quintal/m$^3$ = $\frac{\text{7850}}{\text{100}} \text{ quintal/m}^3$

Density in quintal/m$^3$ = $\text{78.5 quintal/m}^3$

Therefore, the density of mild steel in quintal per cubic meter is 78.5.

Analyzing the Options

Let's look at the given options:

Our calculated value of 78.5 matches Option 2.

Revision Table: Mild Steel Density Facts

Additional Information: What is Mild Steel?

Mild steel, also known as low carbon steel, is a type of steel containing a low amount of carbon – typically 0.05% to 0.25% by weight. This low carbon content makes it more ductile, malleable, and easier to machine and weld compared to higher carbon steels.

• Composition: Primarily iron with a small percentage of carbon. May also contain other elements like manganese, sulfur, phosphorus, and silicon in trace amounts.
• Properties: Relatively low tensile strength, good ductility, easily formable, ferromagnetic. It is also prone to rust if not protected.
• Uses: Widely used in construction (reinforcing bars, structural shapes), automotive bodies, pipes, wire, and various everyday objects. Its affordability and ease of fabrication contribute to its widespread use.

Understanding the density of mild steel is important in many engineering and construction calculations, such as estimating the weight of steel structures or components.