Arrow Speed Kinetic Energy And Momentum Calculator

Arrow Physics Equations:

\[ v = \sqrt{\frac{2 \times KE}{m}} \] \[ p = m \times v \]

Velocity (v):

Momentum (p):

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1. What is Arrow Physics?

Arrow physics involves calculating the velocity, kinetic energy, and momentum of an arrow based on its mass and energy. These calculations are essential for archers to understand arrow performance and penetration power.

2. How Does the Calculator Work?

The calculator uses physics equations:

\[ v = \sqrt{\frac{2 \times KE}{m}} \] \[ p = m \times v \]

Where:

\( v \) — Velocity (m/s)
\( KE \) — Kinetic Energy (Joules)
\( m \) — Mass (kg)
\( p \) — Momentum (kg m/s)

Explanation: The equations calculate arrow speed from kinetic energy and mass, then determine momentum from mass and velocity.

3. Importance of Arrow Physics

Details: Understanding arrow physics helps archers optimize their equipment for better accuracy, penetration, and overall performance. Kinetic energy affects target penetration, while momentum influences arrow stability and resistance to wind.

4. Using the Calculator

Tips: Enter kinetic energy in Joules and mass in kilograms. All values must be valid (KE > 0, mass > 0).

5. Frequently Asked Questions (FAQ)

Q1: Why is arrow velocity important?
A: Higher velocity means flatter trajectory, less time for wind to affect the arrow, and typically better penetration.

Q2: What's the difference between kinetic energy and momentum?
A: Kinetic energy is the energy of motion (½mv²) and affects penetration, while momentum (mv) relates to the arrow's ability to maintain its course and push through resistance.

Q3: How do I measure arrow mass?
A: Use a precision scale to weigh your arrow in grams, then convert to kilograms (divide by 1000).

Q4: What is a typical arrow velocity?
A: Modern compound bows can launch arrows at 250-350 fps (76-107 m/s), while traditional bows typically achieve 150-225 fps (46-69 m/s).

Q5: How does arrow mass affect performance?
A: Heavier arrows have more momentum and penetrate better but travel slower. Lighter arrows fly faster with flatter trajectories but may lack penetration power.