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Unit converters · Length, mass, area, volume

Convert speed (km/h, m/s, mph, knots)

Every speed routes through the metre per second. 1 km/h is exactly 1/3.6 m/s, and a knot is one nautical mile (1,852 m) per hour, not a statute mile.

Calculate

Speed to convert. Comma or point decimals are accepted.

Starting unit. Default: kilometres per hour.

Target unit. Default: metres per second.

How the calculator works

The input is multiplied by its factor to metres per second, then divided by the target unit's factor. The factors come from exact definitions: the international mile is 1,609.344 m, the foot 0.3048 m, the nautical mile 1,852 m. No rounded shortcut such as “1 m/s ≈ 3.6 km/h” is used, even though that equality happens to be exact.

Formula and method

v(m/s) = x × kfrom ; y = v(m/s) / kto

k is the unit's factor to metres per second.

1 km/h = 1000 / 3600 m/s = 1/3.6 m/s

Exact identity between the SI prefix and the hour.

1 kn = 1852 / 3600 m/s

The knot is defined from the nautical mile, not the statute mile.

The metre per second is the SI derived unit of speed. The nautical mile has been fixed at 1,852 m by international convention since 1929 and is used in marine and air navigation. The mile per hour is based on the international statute mile. Feet per second remain common in ballistics and US engineering.

Worked example

100 km/h in metres per second

x = 100, from kmh to mps.

  1. 100 × (1/3.6) = 27.777… m/s.

≈ 27.78 m/s.

20 knots in km/h

x = 20, from kn to kmh.

  1. 20 × 1852 = 37,040 m per hour.
  2. That is 37.04 km/h.

37.04 km/h exactly.

Input notes

Value
The speed alone, without the unit, which is picked in the From and To lists.
From
Unit of the speed you entered. The default is kilometres per hour.
To
Unit of the result. The default is metres per second, the SI unit.

Assumptions and limits

Assumptions

  • A knot is one nautical mile (1,852 m) per hour.
  • Miles per hour use the international statute mile (1,609.344 m).
  • The factors are exact; only the display rounds.

Limits

  • No Mach number: the speed of sound depends on temperature and altitude.
  • No relativistic speeds and no Lorentz correction.
  • An average speed is not an instantaneous speed.

How to read the result

27.78 m/s and 100 km/h describe the same speed. A gap between your GPS and the car's speedometer does not come from the conversion but from the legal tolerance on speedometers, which must never read low. At sea, mistaking knots for km/h skews an arrival estimate by about 85%.

Common mistakes

  • Treating a knot as a statute mile per hour.

    1 kn = 1.852 km/h, not 1.609 km/h.

  • Writing “knots per hour”.

    A knot is already a speed: one nautical mile per hour.

  • Dividing a distance by a time without matching the units.

    Convert distance and duration first, then divide.

Comparison

Factors to metres per second
UnitTo m/sNote
m/s1SI derived unit
km/h1/3.6Exact
mph0.44704Statute mile
kn1852/3600Nautical mile
ft/s0.3048International foot

Methodology · Sources

Related calculations

Frequently asked questions

What is 100 km/h in m/s?

About 27.78 m/s.

Divide by 3.6: 100 / 3.6 = 27.777… m/s. The division is exact, but the decimal repeats, so the display rounds it.

Is the knot an SI unit?

No, but its use is accepted.

The knot is not part of the SI. The BIPM accepts it in marine and air navigation, with the exact value of 1,852 m per hour.

Why do my GPS and speedometer disagree?

Speedometer tolerance.

Regulations require a speedometer never to display less than the true speed, so it reads slightly high. That is not a conversion error.

Author and update

Written by Rédaction HexaCalc (editorial team). Content last updated: August 25, 2026. No third-party medical or financial review is claimed.

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Category: Unit converters