The formula to calculate the Feet Per Second (FPS) of a bow is:
\[ \text{FPS} = \frac{W \times g}{A \times m} \]
Where:
Bow FPS, or feet per second, is a measurement of the speed at which an arrow is launched from a bow. This is a critical factor in both hunting and target shooting as it affects the trajectory and penetration power of the arrow. The FPS of a bow is determined by several factors including the draw weight (the amount of force required to pull the bowstring back), the draw length (the distance the bowstring is pulled back), the weight of the arrow, and the efficiency of the bow itself. Higher FPS generally results in a flatter arrow trajectory and greater impact force, but it can also make the bow more difficult to draw and the arrow harder to control. Therefore, finding the right balance of FPS for a particular shooting situation is an important skill for archers.
Let's assume the following:
Step 1: Calculate the Feet Per Second (FPS):
\[ \text{FPS} = \frac{400 \times 32.174}{28 \times 50} \approx 9.17 \text{ ft/s} \]
Therefore, the Feet Per Second (FPS) is approximately 9.17 ft/s.
