1. What is a Mach Angle Calculator?

Definition: This calculator determines the Mach cone angle created by an object moving at supersonic speeds.

Purpose: It helps aeronautical engineers, physicists, and aviation enthusiasts understand shock wave patterns.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \theta \) — Mach cone angle (degrees)
• \( M \) — Mach number (dimensionless)

Explanation: The Mach angle decreases as speed increases, forming a narrower cone at higher Mach numbers.

3. Importance of Mach Angle Calculation

Details: Understanding Mach angles is crucial for aircraft design, sonic boom prediction, and analyzing supersonic flow patterns.

4. Using the Calculator

Tips: Enter the Mach number (must be ≥ 1). The calculator will output the Mach angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: Why does the Mach number need to be ≥ 1?
A: Mach angles only exist at supersonic speeds (Mach ≥ 1). Subsonic flows don't produce shock cones.

Q2: What happens at exactly Mach 1?
A: The Mach angle is 90°, meaning the shock wave forms a plane perpendicular to the motion.

Q3: How does Mach angle relate to sonic booms?
A: The Mach cone determines where the shock wave (sonic boom) will reach the ground.

Q4: What's the Mach angle for Mach 2?
A: Approximately 30° (arcsin(1/2) = 30°).

Q5: Can this be used for objects in water?
A: Yes, the same principle applies to any medium, though Mach numbers in water are calculated differently.