A knot is one nautical mile per hour.
Knots to Maches Converter — kn to Ma
Convert Knots (kn) to Mach (Ma) using the exact conversion factor (1 knots = 0.0015117824 mach). See the formula, worked examples, conversion table, history, and common uses.
Knots to Maches converter
Converter
Speed Converter
Convert road, aviation, marine, lab, and scientific speed units.
Mach at standard sea-level conditions.
Result = input x 0.5144444444 / 340.29.
Speed uses meters per second as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Knots to Maches
Knots and Mach both describe speed, and the conversion matters whenever a maritime or aviation speed (knots) needs to be compared against a road speed (mph). Knots is most often used for ship and boat speed in marine navigation.
Formula
maches = knots × 0.00151178243394
This factor comes from each unit's defined relationship to the category's base unit: 1 knots equals 0.514444444444 base units, and 1 mach equals 340.29 base units, so dividing one by the other gives the direct knots-to-mach factor of 0.00151178243394.
Simple example
1 kn × 0.001511782434 = 0.0015117824 Ma
1 knots = 0.0015117824 maches.
Real-world example
10 kn × 0.001511782434 = 0.0151178243 Ma
10 knots = 0.0151178243 maches.
Conversion table
| Knots (kn) | Mach (Ma) |
|---|---|
| 1 kn | 0.0015117824 Ma |
| 5 kn | 0.0075589122 Ma |
| 10 kn | 0.0151178243 Ma |
| 25 kn | 0.0377945609 Ma |
| 50 kn | 0.0755891217 Ma |
| 100 kn | 0.1511782434 Ma |
Reverse conversion: Mach to Knots
0.0015117824 Ma × 661.4708423 = 0.9999999776 kn
0.0015117824 maches = 0.9999999776 knots.
knots = maches × 661.470842333
For a page dedicated to this direction, see Mach to Knots.
Understanding the Knots
Knots (kn) measures speed. A knot is one nautical mile per hour; since the nautical mile is exactly 1,852 meters, a knot is exactly 1,852/3,600 m/s. It is classified as a Non-SI unit accepted for use with SI (maritime/aviation).
Where it's used: Used internationally in maritime navigation and aviation
Uses of the Knots today
- Ship and boat speed in marine navigation
- Aircraft airspeed and wind speed reporting in aviation
- Marine weather forecasts (wind speed)
History of the Knots
The knot gets its name from an old nautical method of measuring speed: sailors trailed a 'log line' with evenly spaced knots behind a ship and counted how many knots paid out over a fixed time, giving a direct speed reading in 'knots.'
The nautical mile it's based on was itself standardized internationally in 1929 (the International Nautical Mile, 1,852 m exactly), tying the knot to a precise value still used in shipping and aviation today.
Historical origin. Knots was not the invention of a single named person; it developed through the process described above.
Understanding the Mach (Ma)
Mach at standard sea-level conditions.
Knots — sources
- BIPM SI Brochure — Non-SI units accepted for use with SI — Lists the knot among accepted non-SI speed units.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many maches are in 1 knots?
1 knots equals 0.0015117824 maches, using the exact defined conversion factor rather than an estimate.
How do I convert knots to mach?
Multiply the knots value by 0.001511782434. The converter above does this instantly to whatever precision you set.
How do I convert mach back to knots?
Use the reverse factor: 1 mach equals 661.4708423 knots. You can also use the swap control in the converter above to flip the direction instantly.
What is a knots?
Knots (kn) measures speed. A knot is one nautical mile per hour; since the nautical mile is exactly 1,852 meters, a knot is exactly 1,852/3,600 m/s. It is classified as a Non-SI unit accepted for use with SI (maritime/aviation).
What is a mach?
Mach (Ma) is a unit of speed.
Is the knots to mach conversion exact?
Yes. A knot is one nautical mile per hour; since the nautical mile is exactly 1,852 meters, a knot is exactly 1,852/3,600 m/s. That fixed definition is what the converter above uses, so any rounding you see is a display choice, not a limitation of the math.
Where is the knots still used today?
Used internationally in maritime navigation and aviation