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km/h, mph, Knots and m/s: Speed Conversion Chart

Speed signs abroad, knots on a boat, m/s in a science class, pace on a run. Here are the exact definitions, the formulas, and ready-made charts.

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The definitions behind the numbers

Appendix B.8 of the NIST Guide to the SI lists these conversion factors as exact:

  • 1 mile (international) = 1.609344 km (exact)
  • 1 nautical mile = 1852 m (exact)
  • 1 mph = 1.609344 km/h = 0.44704 m/s (both exact)

A knot is one nautical mile per hour, so 1 knot = 1.852 km/h. And since an hour has 3600 seconds and a kilometer has 1000 meters, km/h is m/s times 3.6.

Conversion formulas

ConvertFormula
km/h → mphkm/h ÷ 1.609344
mph → km/hmph × 1.609344
km/h → knotskm/h ÷ 1.852
knots → km/hknots × 1.852
m/s → km/hm/s × 3.6
km/h → m/skm/h ÷ 3.6

For mental math: mph is roughly 0.6 of km/h, and knots are a little over half of km/h.

Chart: km/h to mph, knots and m/s

Values are rounded to one decimal place.

km/hmphknotsm/s
106.25.42.8
2012.410.85.6
3018.616.28.3
4024.921.611.1
5031.127.013.9
6037.332.416.7
8049.743.222.2
10062.154.027.8
12074.664.833.3

Chart: mph to km/h

mphkm/h
1016.1
2032.2
3048.3
4064.4
5080.5
6096.6
70112.7

Knots on the water

Boats and aircraft measure speed in knots. With 1 knot = 1.852 km/h, 10 knots is about 18.5 km/h, 20 knots about 37.0 km/h and 30 knots about 55.6 km/h. If you are watching GPS speed in km/h on a ferry deck, divide by 1.852 to get knots.

Running pace

Runners often think in minutes per kilometer or per mile. Since an hour has 60 minutes:

Pace (min/km) = 60 ÷ speed (km/h), and pace (min/mile) = 60 ÷ speed (mph)

Multiply the decimal part by 60 to get seconds (for example, 60 ÷ 8 = 7.5 minutes = 7:30).

Speed (km/h)Pace (min/km)
610:00
87:30
106:00
125:00
154:00
203:00

To go the other way, speed = 60 ÷ pace in minutes. A 5:30 per km pace is 60 ÷ 5.5, or about 10.9 km/h.

A note on converting GPS speed

The conversions are exact, but the GPS speed you start from is not. According to GPS.gov, smartphone GPS is typically accurate to within 4.9 m (16 ft) under open sky, worse among buildings and trees, and it stops in tunnels. At walking or slow running speeds the number wobbles, so judge your pace from the average over a decent distance rather than the instantaneous speed. More in how accurate is GPS speed.

Whatever the unit, the driver or rider does not look at a phone while moving. Follow local traffic laws; in Japan, Article 71, item 5-5 of the Road Traffic Act prohibits it for cars, mopeds and bicycles alike, except when stopped.

Sources

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