The formula
mph = kn × 1.150779448
Where the factor comes from — each unit by its definition, then its size in SI:
1 kn = nmi / h = 0.514444444444 m/s1 mph = mi / h = 0.44704 m/s
Dividing the two SI sizes gives the factor: 1.15077944802 (rounded for display; the underlying ratio is fixed by the definitions). The reverse factor is 0.868976241901.
Kinematics and energy formulas need speed in metres per second. Road speeds come in km/h or mph, so convert before you square anything: kinetic energy goes with v², so a unit slip is squared too.
Worked examples
- Motorway driving (100 km/h): 53.9957 kn = 62.1371 mph — 53.9957 × 1.150779448 = 62.1371
- A brisk walk (5 km/h): 2.69978 kn = 3.10686 mph — 2.69978 × 1.150779448 = 3.10686
- US highway driving: 52.1386 kn = 60 mph — 52.1386 × 1.150779448 = 60
- A hard-thrown ball (30 m/s): 58.3153 kn = 67.1081 mph — 58.3153 × 1.150779448 = 67.1081
Frequently asked questions
How many miles per hour is 1 kn?
1 kn = 1.15077944802 mph.
How do I convert miles per hour back to knots?
Divide by 1.15077944802 — or multiply by 0.868976241901: 1 mph = 0.868976241901 kn.