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Calculate Ballistic Coefficient From Velocity

Ballistic Coefficient Formula:

\[ BC = \frac{m}{C_d A} \]

kg
dimensionless

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1. What is Ballistic Coefficient?

The Ballistic Coefficient (BC) is a measure of a projectile's ability to overcome air resistance in flight compared to a standard projectile. It's essentially a numerical representation of how streamlined the projectile is.

2. How Does the Calculator Work?

The calculator uses the Ballistic Coefficient formula:

\[ BC = \frac{m}{C_d A} \]

Where:

Explanation: The ballistic coefficient is directly proportional to the mass of the projectile and inversely proportional to both its drag coefficient and cross-sectional area.

3. Importance of Ballistic Coefficient

Details: BC is crucial in ballistics for predicting trajectory, velocity retention, wind drift, and bullet drop. Higher BC projectiles retain velocity better and are less affected by wind.

4. Using the Calculator

Tips: Enter mass in kilograms, drag coefficient (typically between 0.1 and 1.0 for most projectiles), and cross-sectional area in square meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical BC value for bullets?
A: Most rifle bullets range from 0.1 to 1.0 kg/m², with high-performance long-range bullets exceeding 1.0.

Q2: How does BC affect trajectory?
A: Higher BC projectiles experience less drag, maintain velocity better, and drop less over distance.

Q3: What affects drag coefficient (Cd)?
A: Projectile shape, surface finish, velocity (as it affects the flow regime), and Mach number.

Q4: How do I measure cross-sectional area?
A: For cylindrical projectiles, \( A = \pi r^2 \) where r is the radius. For non-round projectiles, measure the frontal area.

Q5: Can BC change during flight?
A: Yes, as velocity decreases and the projectile transitions through different aerodynamic regimes, the effective BC can change.

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