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Calculators/Speed of Light
Modern Physics

Speed of Light Calculator

The speed of light is 186,282 miles per second — about 670.6 million mph. Pick a unit or medium below, convert any speed to a fraction of c, or find out how long light takes to travel any distance.

Miles per second
186,282
mi/s
Miles per hour
670,616,629
mph

Speed of light in every unit — Vacuum

UnitSpeed of light
Metres per second (m/s)299,792,458
Kilometres per second (km/s)299,792.458
Kilometres per hour (km/h)1,079,252,848.8
Miles per second (mi/s)186,282.4
Miles per hour (mph)670,616,629
Feet per second (ft/s)983,571,056
Knots (kn)582,749,918
Distance in 1 nanosecond0.984 ft (29.98 cm)

What fraction of c is your speed?

0.00008201%
of the speed of light in a vacuum

How long does light take to travel?

1.282 s
through vacuum

The conversion

c = 299,792,458 m/s (exact)
c ÷ 1,609.344 m per mile = 186,282.397 miles per second
× 3,600 seconds per hour = 670,616,629 mph
In a medium: v = c / n

The metre is defined from c, and the international mile is defined as exactly 1,609.344 m, so these conversions are exact — the only rounding is in the digits displayed.

Speed of Light in Miles Per Second, MPH and Other Units

The speed of light in a vacuum is exactly 299,792,458 metres per second. Expressed in imperial units that is about 186,282 miles per second, or roughly 670,616,629 miles per hour. The figure is exact only in metres: since 1983 the metre itself has been defined from c, so the value cannot be “improved” by better measurement.

The familiar “186,000 miles per second” from older textbooks is the same number rounded. For homework, 3.00 × 10⁸ m/s (or 1.86 × 10⁵ mi/s) is normally accurate enough; use the full 299,792,458 m/s when precision matters.

How to Convert the Speed of Light to Any Unit

Start from c = 299,792,458 m/s and divide by the size of your target unit in metres. For miles per second, divide by 1,609.344; for miles per hour, multiply that result by 3,600; for kilometres per hour, multiply c in km/s by 3,600, which gives 1,079,252,849 km/h. The table above does all of these at once.

A handy rule of thumb: light travels about one foot per nanosecond (0.98 ft, or 30 cm). Computer engineers use it constantly, because it sets how far a signal can travel in one clock tick.

How Long Does Light Take to Travel?

Divide the distance by c. A few reference points, in a vacuum:

DistanceLight travel time
1 foot1.02 ns
Once around the Earth (40,075 km)0.134 s
Earth to Moon (mean, 384,400 km)1.28 s
Earth to Sun (1 AU, 92.96 million miles)8 min 19 s
Nearest star, Proxima Centauriabout 4.25 years

Speed of Light in Water, Glass and Air

Light slows down inside matter. In a material with refractive index n, its speed is v = c / n. Using typical values for visible light:

MediumnSpeed (miles/s)
Vacuum1186,282
Air (sea level)1.000293186,228
Water1.333139,747
Typical glass1.5124,188
Diamond2.41777,072

Refractive index varies slightly with wavelength and temperature, so treat these as typical values. For the physics of why light bends when its speed changes, see the Refractive Index Calculator and the full speed of light article.

Frequently Asked Questions

What is the speed of light in miles per second?+
About 186,282 miles per second (186,282.397… to be precise). That is the speed of light in a vacuum, c = 299,792,458 m/s, divided by the length of a mile, 1,609.344 m. Older textbooks round it to 186,000 miles per second.
What is the speed of light in mph?+
About 670,616,629 miles per hour — roughly 670.6 million mph. It comes from multiplying 186,282.397 miles per second by 3,600 seconds in an hour.
Is 186,282 miles per second exact?+
No — it is a rounded figure. The exact value is defined in metres: c = 299,792,458 m/s. Since a mile is exactly 1,609.344 m, the conversion gives 186,282.397 miles per second, which never terminates cleanly, so any mph or mi/s figure you see is rounded.
How many times can light circle the Earth in one second?+
About 7.5 times. Earth’s equatorial circumference is roughly 40,075 km (24,901 miles), and light covers about 299,792 km every second.
Does light always travel at 186,282 miles per second?+
Only in a vacuum. In a material of refractive index n, light travels at c/n: about 139,747 miles per second in water (n ≈ 1.333) and about 124,188 miles per second in typical glass (n ≈ 1.5). Air slows it by only about 0.03%.
Can anything travel faster than light?+
Nothing with mass can reach c, and no signal or information can outrun c in a vacuum. Some things can appear to exceed it without carrying information — a laser spot swept across the Moon, for instance — but no object or message is moving faster than light.

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