Newton to Joules Converter

Newton to Joules Converter

The Newton to Joules Converter links four related physical quantities: newtons (force), joules per meter (J/m), joules (energy), and newton-meters (N·m). When distance equals one meter, work done equals force times distance, so all four values are numerically equal. Related: Lbs to Newton Converter, Energy Converter, and Newton Meter Converter.

Work and Energy Formula

Work (or energy transferred) equals force multiplied by distance:

$$W = F \times d$$

When $d = 1\,\text{m}$:

$$W\,(\text{J}) = F\,(\text{N}) \times 1\,\text{m} = F\,\text{N}\cdot\text{m}$$

Joules per meter (J/m) represents energy per unit distance, which has the same dimensions as force. At unit distance, all four quantities share the same numeric value.

1:1 Equivalences at 1 Meter

$$1\,\text{N} = 1\,\text{J/m} = 1\,\text{J} = 1\,\text{N}\cdot\text{m}$$

This holds when the displacement is exactly one meter in the direction of the applied force.