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Speed converter

Convert mph to km/h, km/h to mph, m/s and knots with exact factors, plus ft/s, Mach at sea level and the speed of light.

Updated Checked against 5 worked examples

A number in the “from” unit, or with its own unit
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Converted value
km/h
Converted value: 96.56064 km/h
Shown to 12 significant figures, half-up
Conversion
60 mph = 96.56064 km/h
Conversion factor
1.609344
Exactness
Exact

60 mph is exactly 96.56064 km/h. One mile per hour is exactly 1.609344 km/h.

The same amount counted in each unit

mph60 mphkm/h96.56064 km/h
60 mph in every speed unit (8 rows)
UnitValueDefinition
metre per second (m/s)26.8224Base unit
kilometre per hour (km/h)96.560641 km/h = 1,000/3,600 m/s, exact
mile per hour (mph)601 mph = 0.44704 m/s, exact
knot (kn)52.138571 kn = 1,852/3,600 m/s, exact
foot per second (ft/s)881 ft/s = 0.3048 m/s, exact
kilometre per second (km/s)0.02682241 km/s = 1,000 m/s, exact
Mach (sea level) (Ma)0.078821251 Ma = 340.294 m/s, approximate (Speed of sound in ISA air at sea level, 15 °C)
speed of light (c)8.94699 × 10⁻⁸1 c = 299,792,458 m/s, exact
How it's calculated S
  1. Convert mile per hour to metre per second

    60 mph×0.44704 m/smph=26.8224 m/s60\ \text{mph} \times 0.44704\ \tfrac{\text{m/s}}{\text{mph}} = 26.8224\ \text{m/s}

    1 mph = 0.44704 m/s, exact

  2. Convert metre per second to kilometre per hour

    26.8224 m/s÷1,0003,600 m/skm/h=96.56064 km/h26.8224\ \text{m/s} \div \tfrac{1{,}000}{3{,}600}\ \tfrac{\text{m/s}}{\text{km/h}} = 96.56064\ \text{km/h}

    1 km/h = 1,000/3,600 m/s, exact

  3. Combined factor

    1 mph=0.447041,0003,600 km/h=1.609344 km/h1\ \text{mph} = \frac{0.44704}{\tfrac{1{,}000}{3{,}600}}\ \text{km/h} = 1.609344\ \text{km/h}

    Both units are defined exactly and the converted value is a terminating decimal, so every digit shown in it is exact.

About the speed converter

Each speed unit is a fixed number of metres per second. The road and sea units are exact: a mile per hour is 0.44704 m/s because the mile is 1,609.344 m, a kilometre per hour is 1/3.6 m/s, and a knot, one nautical mile per hour, is 1,852/3,600 m/s.

The default converts 60 mph to 96.56064 km/h, the figure a UK or US driver needs on metric roads. Sailors and pilots work in knots, and 1 knot is exactly 1.852 km/h.

Mach is fixed here at 340.294 m/s, the speed of sound in the International Standard Atmosphere at sea level and 15 °C, and results that use it are marked approximate because the real speed of sound falls with temperature. The speed of light is exactly 299,792,458 m/s by definition.

Worked examples

60 mph in km/h

Value
60 mph
From
mile per hour (mph)
To
kilometre per hour (km/h)
Converted value
96.56064 km/h
Exactness
Exact

Checked against: 60 × 1609.344 m / 1000 = 96.56064 km/h (1 mi = 1609.344 m, NIST HB 44)

1 knot in km/h

Value
1 kn
From
knot (kn)
To
kilometre per hour (km/h)
Converted value
1.852 km/h

Checked against: 1 knot = 1 nautical mile per hour = 1852 m/h (NIST SP 811 App. B)

100 km/h in m/s

Value
100 km/h
From
kilometre per hour (km/h)
To
metre per second (m/s)
Converted value
27.7777777778 m/s
Exactness
Exact definitions, repeating decimal

Checked against: 100000 m / 3600 s = 250/9 (Python 3.8 fractions from the legal definitions)

Speed of light in km/s

Value
1 c
From
speed of light (c)
To
kilometre per second (km/s)
Converted value
299,792.458 km/s

Checked against: c = 299,792,458 m/s exactly (SI definition of the metre)

Questions

How do I convert mph to km/h?

Multiply by 1.609344: 60 mph × 1.609344 = 96.56064 km/h, and 70 mph is 112.65 km/h. The factor is exact because a mile is exactly 1,609.344 m. Multiplying by 1.6 is a mental shortcut that comes out 0.6% low; to go from km/h to mph, multiply by 0.621371.

How do I convert km/h to m/s?

Divide by 3.6, because an hour has 3,600 seconds and a kilometre 1,000 metres. 100 km/h is 27.78 m/s and 36 km/h is exactly 10 m/s. Multiply by 3.6 to go back: a sprinter at 10 m/s is running 36 km/h, or 22.37 mph.

What is a knot in mph and km/h?

One knot is exactly 1.852 km/h, about 1.15078 mph or 0.514444 m/s. It is one nautical mile (1,852 m) per hour, the speed unit of shipping and aviation, so a 30-knot wind is 55.56 km/h or 34.52 mph.

How fast is Mach 1?

In the International Standard Atmosphere at sea level (15 °C) it is 340.294 m/s, which is 1,225.06 km/h or 761.22 mph, the value this converter uses. The speed of sound depends on air temperature, so at 11 km altitude, where the standard atmosphere is −56.5 °C, Mach 1 is about 295 m/s or 1,062 km/h.

Why is the speed of light an exact number?

Because the metre is defined from it. Since 1983 the metre has been the distance light travels in vacuum in 1/299,792,458 of a second, which fixes c at exactly 299,792,458 m/s, or 1,079,252,848.8 km/h. Converting c into any unit here is therefore exact.

How accurate is the speed converter?

Accuracy depends on your inputs and the method's assumptions. Decimal arithmetic uses 50 significant digits, but estimates, numerical methods and source data can be less precise; the displayed rounding does not remove those limits. It is checked against 5 worked examples whose answers come from independent sources; for example, “60 mph in km/h” is checked against 60 × 1609.344 m / 1000 = 96.56064 km/h (1 mi = 1609.344 m, NIST HB 44).

Where does the method come from?

NIST SP 811 (2008), Guide for the Use of the SI, Appendix B — conversion factors; NIST Handbook 44, Appendix C — General tables of units of measurement.

About this calculator

xto=xfrom×ffromftof=one unit expressed in m/s\begin{gathered} x_{\text{to}} = x_{\text{from}} \times \dfrac{f_{\text{from}}}{f_{\text{to}}} \\ f = \text{one unit expressed in } \text{m/s} \end{gathered}

Sources

  1. NIST SP 811 (2008), Guide for the Use of the SI, Appendix B — conversion factors
  2. NIST Handbook 44, Appendix C — General tables of units of measurement

Checked against references

5 worked examples with independently sourced answers ship with this calculator. They run in the test suite; you can run them here too.

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