Ballistic Coefficient Calculator

Formula

To calculate the Ballistic Coefficient (\(C_b\)):

\[ C_b = \frac{M}{C_d \cdot A} \]

Where:

\(C_b\) is the Ballistic Coefficient
\(M\) is the mass (kg)
\(C_d\) is the drag coefficient
\(A\) is the cross-sectional area (m²)

What is the Ballistic Coefficient?

The ballistic coefficient is a measure of an object's ability to overcome air resistance in flight. It is calculated using the formula \(C_b = \frac{M}{C_d \cdot A}\), where \(M\) is the mass, \(C_d\) is the drag coefficient, and \(A\) is the cross-sectional area. A higher ballistic coefficient indicates better aerodynamic efficiency.

Example Calculation 1

Let's assume the following values:

Mass (\(M\)) = 0.02 kg
Drag Coefficient (\(C_d\)) = 0.5
Cross-Sectional Area (\(A\)) = 0.001 m²

Using the formula:

\[ C_b = \frac{0.02}{0.5 \cdot 0.001} = 40 \]

The Ballistic Coefficient is 40.

Example Calculation 2

Let's assume the following values:

Mass (\(M\)) = 0.05 kg
Drag Coefficient (\(C_d\)) = 0.3
Cross-Sectional Area (\(A\)) = 0.002 m²

Using the formula:

\[ C_b = \frac{0.05}{0.3 \cdot 0.002} \approx 83.33 \]

The Ballistic Coefficient is approximately 83.33.