What is g/cm³ to kN/m³ Conversion

g/cm³ to kN/m³ conversion is a unit transformation for density, converting grams per cubic centimeter (g/cm³) to kilonewtons per cubic meter (kN/m³). This conversion accounts for both mass density and the force due to gravity, as kN/m³ represents the weight density (force per unit volume) rather than just mass density. The conversion factor is based on \(1 \, \text{g/cm³} = 1000 \, \text{kg/m³}\), and with gravitational acceleration (\(g \approx 9.81 \, \text{m/s}^2\)), \(1 \, \text{kg/m³} = 9.81 \, \text{N/m³}\), and \(1 \, \text{kN/m³} = 1000 \, \text{N/m³}\), resulting in \(1 \, \text{g/cm³} = 9.81 \, \text{kN/m³}\). This is useful in civil engineering and geotechnical applications.

For example, a density of 1 g/cm³ converts to 9.81 kN/m³.

How to Convert g/cm³ to kN/m³

Conversion Formula: The density in kN/m³ is calculated as:

\(\rho_{\text{kN/m³}} = \rho_{\text{g/cm³}} \times 9.81\)

Where:

• \(\rho_{\text{kN/m³}}\) = Density in kilonewtons per cubic meter
• \(\rho_{\text{g/cm³}}\) = Density in grams per cubic centimeter

Example Calculation: For a density of 2.5 g/cm³:

1. \(\rho_{\text{kN/m³}} = 2.5 \times 9.81 = 24.525 \, \text{kN/m³}\), rounded to 24.53 kN/m³.

Use the form above to input the density in g/cm³, and the calculator will convert it to kN/m³.

Density Units and Conversions

The calculator converts between the following density units:

• Grams per cubic centimeter (g/cm³): Base input unit
• Kilonewtons per cubic meter (kN/m³): 1 g/cm³ = 9.81 kN/m³

Other common conversions include:

• 1 g/cm³ = 1000 kg/m³
• 1 kg/m³ = 0.00981 kN/m³
• 1 g/cm³ = 1 kg/L

Standard Density Examples

Some standard densities include:

• Water at 4 °C: \(\rho \approx 1.000 \, \text{g/cm³} = 9.81 \, \text{kN/m³}\)
• Gold: \(\rho \approx 19.320 \, \text{g/cm³} \approx 189.55 \, \text{kN/m³}\)
• Air at sea level: \(\rho \approx 0.001225 \, \text{g/cm³} \approx 0.01 \, \text{kN/m³}\)

Use this calculator to convert these values or your own measurements.

FAQs

How do you convert g/cm³ to kN/m³?

To convert g/cm³ to kN/m³:

1. Take the density value in g/cm³.
2. Multiply by 9.81 (since \(1 \, \text{g/cm³} = 1000 \, \text{kg/m³}\), and \(1 \, \text{kg/m³} = 9.81 \, \text{N/m³} = 0.00981 \, \text{kN/m³}\), so \(1 \, \text{g/cm³} = 9.81 \, \text{kN/m³}\)).

What is the density of water in kN/m³ if it is 1 g/cm³?

The density is \(1 \times 9.81 = 9.81 \, \text{kN/m³}\).

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