What is kg/m³ to kN/m³ Conversion

kg/m³ to kN/m³ conversion is a unit transformation for density, converting kilograms per cubic meter (kg/m³) 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 mass density. The conversion factor is based on the gravitational acceleration (\(g \approx 9.81 \, \text{m/s}^2\)), where \(1 \, \text{kg/m³} = 9.81 \, \text{N/m³}\), and since \(1 \, \text{kN} = 1000 \, \text{N}\), \(1 \, \text{kg/m³} = 0.00981 \, \text{kN/m³}\). This is useful in civil engineering and geotechnical applications.

For example, a density of 1000 kg/m³ converts to 9.81 kN/m³.

How to Convert kg/m³ to kN/m³

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

\(\rho_{\text{kN/m³}} = \rho_{\text{kg/m³}} \times 0.00981\)

Where:

• \(\rho_{\text{kN/m³}}\) = Density in kilonewtons per cubic meter
• \(\rho_{\text{kg/m³}}\) = Density in kilograms per cubic meter

Example Calculation: For a density of 1500 kg/m³:

1. \(\rho_{\text{kN/m³}} = 1500 \times 0.00981 = 14.715 \, \text{kN/m³}\), rounded to 14.72 kN/m³.

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

Density Units and Conversions

The calculator converts between the following density units:

• Kilograms per cubic meter (kg/m³): Base input unit
• Kilonewtons per cubic meter (kN/m³): 1 kg/m³ = 0.00981 kN/m³

Other common conversions include:

• 1 kg/m³ = 0.001 g/cm³
• 1 kg/m³ = 0.0624279 lb/ft³
• 1 kN/m³ ≈ 101.9716 kg/m³

Standard Density Examples

Some standard densities include:

• Water at 4 °C: \(\rho \approx 1000 \, \text{kg/m³} = 9.81 \, \text{kN/m³}\)
• Gold: \(\rho \approx 19320 \, \text{kg/m³} \approx 189.55 \, \text{kN/m³}\)
• Air at sea level: \(\rho \approx 1.225 \, \text{kg/m³} \approx 0.01 \, \text{kN/m³}\)

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

FAQs

How do you convert kg/m³ to kN/m³?

To convert kg/m³ to kN/m³:

1. Take the density value in kg/m³.
2. Multiply by 0.00981 (since \(1 \, \text{kg/m³} = 9.81 \, \text{N/m³} = 0.00981 \, \text{kN/m³}\), using \(g \approx 9.81 \, \text{m/s}^2\)).

What is the density of water in kN/m³ if it is 1000 kg/m³?

The density is \(1000 \times 0.00981 = 9.81 \, \text{kN/m³}\).

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