Weight from Mass and Gravity
Weight from Mass and Gravity
\[W = mg\]
Variables
W = weight force (N)
m = mass (kg)
g = gravitational acceleration (m/s²)
Description
What is this formula?
The weight equation calculates the gravitational force acting on a mass due to gravity. Weight depends on both mass and local gravitational acceleration.
When to use it
Use this formula when analyzing loads, forces on structures, lifting systems, mechanical design, or any problem involving gravity.
Example
A mass of 75 kg is located on Earth where gravitational acceleration is 9.81 m/s².
Data:
m = 75 kg
g = 9.81 m/s²
Formula:
W = m*g
Substitution:
W = 75*9.81
Result:
W = 735.75 N
Applications
Structural engineering, mechanical systems, lifting equipment, aerospace engineering, physics education, and load calculations.
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