Enter the energy in joules and the mass in grams into the calculator to convert energy to velocity in feet per second (FPS). This calculator helps in determining the speed of a projectile based on its energy and mass.

Joules to FPS Formula

The following formula is used to convert energy in joules to velocity in feet per second.

FPS = sqrt{frac{2 cdot E}{m / 1000}} cdot 3.28084

Variables:

  • E is the energy in joules (J)
  • m is the mass in grams (g)
  • FPS is the velocity in feet per second

To convert joules to FPS, you need to divide the energy by half the mass (in kilograms), take the square root of that value, and then convert the result from meters per second to feet per second.

What is Joules to FPS Conversion?

Joules to FPS conversion is a way to express the kinetic energy of a projectile in terms of its velocity. It is commonly used in ballistics and other applications where the speed of an object is related to its energy and mass. This conversion is particularly useful for comparing the performance of different projectiles or for calculating the potential impact force.

How to Calculate Velocity from Energy and Mass?

The following steps outline how to calculate the velocity in feet per second from energy in joules and mass in grams.

  1. First, determine the energy (E) in joules.
  2. Next, determine the mass (m) in grams.
  3. Use the formula FPS = sqrt{frac{2 cdot E}{m / 1000}} cdot 3.28084 to calculate the velocity in feet per second.
  4. 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.

Energy (E) = 16 joules

Mass (m) = 8 grams