Velocity Of Particle Two At Distance From Explosion Calculator

Formula Used:

\[ v_2 = v_1 \times \left( \frac{D_1}{D_2} \right)^{1.5} \]

Velocity of Particle with Mass m1:

m/s

Distance of Particle 1 from Explosion:

Distance of Particle 2 from Explosion:

Velocity of Particle with Mass m2:

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1. What is the Velocity of Particle Two Formula?

The velocity of particle two formula calculates the velocity of a second particle based on the velocity of a first particle and their respective distances from an explosion point. This formula is derived from conservation principles in explosion dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v_2 = v_1 \times \left( \frac{D_1}{D_2} \right)^{1.5} \]

Where:

\( v_2 \) — Velocity of particle with mass m2 (m/s)
\( v_1 \) — Velocity of particle with mass m1 (m/s)
\( D_1 \) — Distance of particle 1 from explosion (m)
\( D_2 \) — Distance of particle 2 from explosion (m)

Explanation: The formula shows that the velocity of the second particle is proportional to the velocity of the first particle and the ratio of their distances raised to the power of 1.5.

3. Importance of Velocity Calculation

Details: Calculating particle velocities after an explosion is crucial for understanding explosion dynamics, predicting particle trajectories, and assessing safety distances in explosive events.

4. Using the Calculator

Tips: Enter velocity of particle 1 in m/s, distances of both particles from explosion in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What does the exponent 1.5 represent in the formula?
A: The exponent 1.5 comes from the relationship between distance and velocity in explosion dynamics, accounting for energy distribution in three-dimensional space.

Q2: Does this formula account for particle masses?
A: While the variables include mass references (m1, m2), the formula itself doesn't explicitly use mass values. The relationship is primarily distance-dependent.

Q3: What are typical velocity ranges for particles after explosions?
A: Velocities can range from a few m/s for larger fragments at greater distances to hundreds of m/s for smaller fragments closer to the explosion.

Q4: Are there limitations to this formula?
A: This formula provides an approximation and may not account for factors like air resistance, fragment shape, or uneven energy distribution in real explosions.

Q5: Can this formula be used for any type of explosion?
A: The formula is most applicable to point-source explosions with relatively uniform energy distribution. Complex explosion scenarios may require more sophisticated modeling.