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Mass from Kinetic Energy Calculator for Arrows

Mass Formula:

\[ m = \frac{2 \times E_k}{v^2} \]

J
m/s

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1. What is Mass from Kinetic Energy Calculator for Arrows?

Definition: This calculator determines the mass of an arrow based on its kinetic energy and velocity using physics principles.

Purpose: It helps archers and arrow manufacturers calculate arrow mass when energy and velocity are known.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ m = \frac{2 \times E_k}{v^2} \]

Where:

Explanation: The formula derives from the kinetic energy equation \( E_k = \frac{1}{2}mv^2 \), rearranged to solve for mass.

3. Importance of Arrow Mass Calculation

Details: Knowing arrow mass helps in tuning bow performance, ensuring proper kinetic energy transfer, and meeting competition regulations.

4. Using the Calculator

Tips: Enter the kinetic energy in joules and velocity in meters per second. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: How do I measure arrow velocity?
A: Use a chronograph device specifically designed for measuring arrow speed.

Q2: What's a typical kinetic energy for arrows?
A: Hunting arrows typically range 40-100 J, while target arrows are usually lower.

Q3: Why is mass important for arrows?
A: Mass affects penetration, trajectory, and bow efficiency. Heavier arrows carry more momentum but fly slower.

Q4: How accurate is this calculation?
A: It's theoretically precise, but real-world factors like air resistance can affect actual performance.

Q5: Can I use this for other projectiles?
A: Yes, the physics applies to any projectile, but the calculator is optimized for arrow applications.

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