1. What is Density?

Density is a physical property of matter defined as mass per unit volume. It describes how much mass is contained in a given volume of a substance and is typically measured in kilograms per cubic meter (kg/m³).

2. How Does the Calculator Work?

The calculator uses the density formula:

Where:

• \( \rho \) — Density (kg/m³)
• \( m \) — Mass (kg)
• \( V \) — Volume (m³)

Explanation: The formula calculates the density of a substance by dividing its mass by its volume. For cylindrical objects, the volume is calculated using the appropriate geometric formula before applying the density calculation.

3. Importance of Density Calculation

Details: Density calculation is crucial in various scientific and engineering applications, including material identification, buoyancy calculations, quality control in manufacturing, and determining the purity of substances.

4. Using the Calculator

Tips: Enter mass in kilograms and volume in cubic meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What are typical density values for common materials?
A: Water has a density of approximately 1000 kg/m³, iron is around 7870 kg/m³, and aluminum is about 2700 kg/m³ at room temperature.

Q2: How does temperature affect density?
A: For most substances, density decreases as temperature increases due to thermal expansion, except for water which has maximum density at 4°C.

Q3: What's the difference between mass and density?
A: Mass is the amount of matter in an object, while density is the mass per unit volume of that matter.

Q4: Why is density important in engineering?
A: Density is critical for material selection, structural design, buoyancy calculations, and determining the weight of components in engineering projects.

Q5: How do you calculate volume for a cylinder?
A: For a cylinder, volume is calculated using the formula V = πr²h, where r is the radius and h is the height of the cylinder.