Online Calculators

# Weight Calculator

Weight Calculator
$$W = mg$$
weight
W =
units
mass
gravity

## Calculator Use

Choose a calculation for weight W, mass m or gravity g. Enter two known values and the calculator solves for the third in your selected measurement units.

Enter numbers, decimals or scientific notation as in 6.78e4.

In physics weight is a measure of the force of gravity acting upon an object. It is typically measured in newtons which signifies force. Mass describes how much an object resists a change in velocity in kg, and gravity is the acceleration force acting upon that object in m/s2.

## The Weight Equation

$$W = mg$$

### Variables in the Weight Equation

• $$W$$ = weight
• $$m$$ = mass
• $$g$$ = gravity (acceleration due to the pull of gravity)

The Weight Calculator uses the formula W = mg, or weight W is equal to mass m times gravity g. Note that the standard units for weight calculations are N, kg and m/s2. If you enter other units of measure for your calculation the calculator will do the units conversion for you.

Weight is a force and gravity can be thought of as an acceleration due to the pull of gravity. The equation W = mg is a special case of Newton's second law of motion, F = ma, where force F equals mass m times acceleration a.

## Weight Formulas

Solve for weight, mass or gravity using the following formulas:

Calculate W Given m and g
Calculate weight given mass and gravity:

$$W = mg$$

Calculate m Given W and g
Calculate mass given weight and gravity:

$$m = \dfrac{W}{g}$$

Calculate g Given W and m
Calculate gravity given weight and mass:

$$g = \dfrac{W}{m}$$

If you were on a different planet the force of gravity would be different than it is on Earth. This reference table provides the gravitational force for the sun, moon and each planet in our solar system.

Planetary Gravity Table

Gravity

m/s2
Sun
274
Mercury
3.70
Venus
8.87
Earth
9.81
Moon
1.62
Mars
3.71
Jupiter
24.9
Saturn
10.44
Uranus
8.87
Neptune
11.15
Pluto
0.58

Table source: Planetary Fact Sheet - NASA

Standard gravity (gn): 1.00gn is equal to 9.80665 m/s2 gravity on Earth.

Cite this content, page or calculator as:

Furey, Edward "Weight Calculator W = mg" at https://www.calculatorsoup.com/calculators/physics/weight.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Last updated: October 13, 2023