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Mach to Feet per Second Converter

Convert Mach to Feet per Second

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How to Convert Mach to Feet per Second

Converting Mach (mach) to feet per second (ft/s) involves using the speed of sound. Mach 1 is defined as the speed of sound, which is approximately 1125.33 feet per second at sea level and 20°C.

Formula

Feet per Second = Mach × 1125.33

or

ft/s = mach × 1125.33

Step-by-step process

  1. Take the measurement in Mach
  2. Multiply that number by 1125.33
  3. The result is the equivalent amount in feet per second

Examples

  • 1 mach = 1125.33 ft/s
  • 10 mach = 11253.3 ft/s
  • 0.5 mach = 562.665 ft/s

When to Convert Mach to Feet per Second

This conversion is primarily used in aviation and aerospace engineering, especially when dealing with high-speed aircraft and supersonic flight.

Common Mach to Feet per Second Conversions

Here is a table of common Mach to feet per second conversions for quick reference:

Mach (mach) Feet per Second (ft/s) Mach (mach) Feet per Second (ft/s)
1 1125.33 100 112533
2 2250.66 200 225066
5 5626.65 500 562665
10 11253.3 1,000 1125330

Frequently Asked Questions

How many feet per second are in one Mach?

One Mach is approximately 1125.33 feet per second (at sea level, 20°C).

Why is the conversion factor 1125.33?

The speed of sound varies with temperature and medium. At sea level and 20°C, the speed of sound in dry air is approximately 343 meters per second. Since 1 ft/s = 0.3048 meters per second, then 343 / 0.3048 ≈ 1125.33 ft/s.