Artillery Range Calculator

Formula

The formula to calculate the Artillery Range (R) is:

\[ R = \frac{v^2 \sin(2\theta)}{g} \]

Where:

\(R\) is the range of the artillery shell
\(v\) is the initial velocity of the shell (m/s)
\(\theta\) is the angle of elevation (degrees)
\(g\) is the acceleration due to gravity (approximately 9.81 m/s²)

What is Artillery Range?

Artillery range refers to the maximum distance an artillery shell can travel when fired from a cannon or other artillery piece. The range is influenced by several factors, including the initial velocity of the shell, the angle of elevation at which it is fired, and the acceleration due to gravity. Understanding and calculating the artillery range is crucial for accurate targeting and effective use of artillery in military operations.

Example Calculation

Let's assume the following values:

Initial Velocity (v) = 500 m/s
Angle of Elevation (θ) = 45 degrees

Using the formula:

\[ R = \frac{500^2 \sin(2 \times 45)}{9.81} \approx 25484.20 \]

The Artillery Range (R) is approximately 25484.20 meters.