Density to Weight Calculator

Convert density and volume to weight in Newtons, pounds-force, and kgf. Supports Earth, Moon, Mars, and Jupiter gravity with material comparison.

Mass
7.8500
7,850.00 g · 17.3063 lb
Weight (N)
76.9822
Force on surface at g = 9.80665 m/s²
Weight (lbf)
17.3063
276.90 ozf
Volume
1,000.0000
0.001000 m³ · 61.02 in³
Weight (kgf)
7.8500
Kilogram-force (= mass on Earth)
Density Class
Heavy
ρ = 7,850.0 kg/m³

Weight Scale (relative)

Balsa Wood
1.57 N
Cork
2.35 N
Oak
7.35 N
Water (4 °C)
9.81 N
HDPE
9.41 N
Glass
24.52 N
Aluminum
26.48 N
Titanium
44.20 N
Steel
76.98 N
Copper
87.87 N
Lead
111.21 N
Gold
189.46 N
MaterialDensity (kg/m³)Mass (kg)Weight (N)Weight (lbf)
Balsa Wood1600.16001.56910.3527
Cork2400.24002.35360.5291
Oak7500.75007.35501.6535
Water (4 °C)1,0001.00009.80672.2046
HDPE9600.96009.41442.1164
Glass2,5002.500024.51665.5116
Aluminum2,7002.700026.47805.9525
Titanium4,5074.507044.19869.9362
Steel7,8507.850076.982217.3063
Copper8,9608.960087.867619.7534
Lead11,34011.3400111.207425.0004
Gold19,32019.3200189.464542.5933
Planning notes, formulas, and examples

About the Density to Weight Calculator

Weight is the gravitational force on a mass: W = m × g = ρ × V × g. Given an object's material density and its volume, this calculator computes the weight on any celestial body—Earth, Moon, Mars, or Jupiter.

This is critical for any problem that involves forces rather than just mass: structural engineering, shipping regulations, crane loads, elevator ratings, and spacecraft design. While "mass" is constant, "weight" changes with gravity, so the same 100 kg object weighs 980.7 N on Earth but only 162.5 N on the Moon.

The calculator supports five volume shapes, nine dimension-unit options, and a 12-material database. It outputs weight in Newtons, lbf, ozf, and kgf. The comparison bar chart and table show how switching materials changes weight for the same geometry—vital for lightweighting analysis in aerospace, automotive, and portable product design. That makes it easier to move from a material choice to an actual load estimate without doing separate conversions by hand.

When This Page Helps

Many real-world problems require weight (force), not mass. Crane capacity, structural loads, shipping limits, belt conveyor design, and spring sizing all need force in Newtons or lbf.

The multi-body gravity option is unique and immediately useful for aerospace and space-habitat engineers. The side-by-side material comparison makes this calculator a practical tool for lightweight design trades.

How to Use the Inputs

  1. Choose a preset or enter the material density in kg/m³.
  2. Select a volume shape: cube, sphere, cylinder, box, or enter volume directly in m³.
  3. If using a shape, pick a dimension unit (mm, cm, m, in, ft) and enter dimensions.
  4. Select the gravitational body (Earth, Moon, Mars, Jupiter).
  5. Read weight in Newtons, lbf, ozf, kgf, plus mass in kg, g, and lb.
  6. Review the comparison chart and table for alternative materials at the same volume.
Formula used
Weight: W = ρ × V × g, where ρ = density (kg/m³), V = volume (m³), g = gravitational acceleration (m/s²). Earth g = 9.80665 m/s², Moon g = 1.625 m/s², Mars g = 3.721 m/s², Jupiter g = 24.79 m/s².

Example Calculation

Result: 76.98 N (17.31 lbf)

Volume = (0.10)³ = 0.001 m³. Mass = 7850 × 0.001 = 7.85 kg. Weight = 7.85 × 9.80665 = 76.97 N ≈ 17.31 lbf.

Tips & Best Practices

  • Shipping regulations usually state limits in mass (kg/lb), but crane loads and structural engineering use force (N/lbf)—know which one your problem needs.
  • For quick estimates, steel weighs about 77 kN/m³ and aluminum about 26.5 kN/m³ on Earth.
  • Use the Jupiter column as a worst-case launch-load proxy (≈ 2.5 g) for vibration testing.
  • When comparing materials, weight scales linearly with density for the same volume.
  • Remember that apparent weight in a fluid is reduced by buoyancy: W_apparent = (ρ_object − ρ_fluid) × V × g.

Weight vs. Mass in Engineering

In day-to-day speech, "weight" and "mass" are used interchangeably. In engineering they are strictly different: mass (kg) is intrinsic; weight (N) is a force that depends on gravity. A 1 kg object weighs 9.807 N on Earth, 1.625 N on the Moon, and 24.79 N on Jupiter.

This distinction matters whenever you compute loads, select springs, size fasteners, or rate lifting equipment. Using mass where weight is needed (or vice versa) can cause structural failures or over-design.

Specific Weight in Fluid Mechanics

Specific weight γ = ρg is the weight of a fluid per unit volume. Common values at sea level: fresh water γ ≈ 9810 N/m³, seawater γ ≈ 10060 N/m³, air γ ≈ 12 N/m³. Hydrostatic pressure is p = γh, making specific weight the fundamental constant in hydraulics and civil engineering.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • Mass is the amount of matter (kg); weight is the gravitational force (N). Weight = mass × g. Mass stays constant everywhere; weight depends on local gravity.