The formula to convert energy in joules to velocity in feet per second is:
\[ FPS = \sqrt{\frac{2 \cdot E}{m / 1000}} \cdot 3.28084 \]
where \( E \) is the energy in joules, \( m \) is the mass in grams, and \( FPS \) is the velocity in feet per second.
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.
Let's assume we have the following values:
Step 1: Divide the energy by half the mass (in kilograms):
\[ \frac{2 \cdot 500}{50 / 1000} = \frac{1000}{0.05} = 20000 \]
Step 2: Take the square root of that value:
\[ \sqrt{20000} \approx 141.42 \]
Step 3: Convert the result from meters per second to feet per second:
\[ 141.42 \times 3.28084 \approx 463.32 \text{ feet per second} \]
Therefore, the velocity is \( FPS \approx 463.32 \) feet per second.
