Calculate work in joules from force, displacement and angle, or solve for force or displacement. Convert newtons, pound-force, meters, feet and energy units. This tool has no separate friction model.

Newtons measure force; work also needs displacement. Uses constant force with 0° ≤ θ ≤90° and nonnegative work. A blank angle means parallel force and displacement. Inverse solves require θ <90°.

Force-displacement angle

Newton To Joules Formula

The following formula gives work by a constant force parallel to displacement. For an angle θ, use W = F × d × cos θ. Net work requires accounting for all forces; a newton alone cannot be converted to joules without displacement.

W = F × d

Variables:

  • W is the work done (joules)
  • F is the force applied (newtons)
  • d is the distance over which the force is applied (meters)

To calculate the work done, multiply the force applied by the distance over which the force is applied. This will give the work done in joules.

Force and Distance to Work Conversion Table (W = F × d)
Force (N) Distance (m) Work (J)
0.50.10.05
0.50.50.25
10.10.10
10.50.50
111.00
20.51.00
212.00
50.21.00
515.00
100.55.00
10110.00
10220.00
200.510.00
20120.00
500.525.00
50150.00
1000.550.00
1001100.00
2001200.00
100011000.00
*Work assumes displacement in the direction of the force. 1 joule (J) = 1 newton·meter (N·m).

What is Newton To Joules?

A newton and a joule are both units of measurement in the International System of Units (SI), but they measure different things. A newton is a unit of force, while a joule is a unit of energy or work done. The relationship between these two can be understood through the basic physics formula: work done (in joules) equals force (in newtons) multiplied by distance (in meters). Therefore, a newton to joules conversion would not be valid without considering the distance over which the force is applied.

How to Calculate Newton To Joules?

The following steps outline how to calculate the Work Done using the formula W = F * d.


  1. First, determine the force applied (F) in newtons.
  2. Next, determine the distance over which the force is applied (d) in meters.
  3. Next, gather the formula from above = W = F * d.
  4. Finally, calculate the Work Done (W) in joules.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

force applied (F) = 10 newtons

distance over which the force is applied (d) = 5 meters