- vCalc Catalog Home
- c (speed of light) with units m/s

# c (speed of light) with units m/s

vCalc.c (speed of light) with units m/s

The **Speed of Light (c)** in a vacuum is 299,792,458.0 meters per second (m/s). This constant is provided in meters per second. However, this can be automatically converted to other velocity units via the pull-down menu.

### The Math / Science

The speed of light (symbol: c) is sometimes known as "light speed". Theoretically nothing can travel at a speed exceeding the speed of light. The speed of light is often used in aerospace and astronomy since space is nearly a perfect vacuum. The distances to very far away celestial objects such as stars and galaxies are often given in light years. A light year is the distance that something traveling at the speed would go in one year. On a lesser scale, there are light-seconds, light-minutes, light-hours and light days in the same vein.

**Related Calculators:**

**Distance Light Traveled:**computes the distance light has traveled in a period of time.**Time to Travel from Earth**to different locations in space (planets, stars, galaxies) at different velocities including the speed of light.

## APPLICATIONS

**Relationship between Wavelength and Frequency**

The speed of light is the speed at which all electromagnetic waves travel in a vacuum and serves as the linear constant in the relationship between electromagnetic wavelength and frequency.

See electromagnetic wavelength and frequency relationships in the following:

**Relativistic Energy and Momentum**

See the relativistic energy equation to see how as the velocity, **v**, of a mass approaches the speed of light, **c**, the denominator approaches 0,and thus the equation at **v** = **c** is undefined. This is the basis for the premise that nothing can exceed the speed of light.

**Use in Defining Astronomical Scale of Distance**

Since the speed of light defines the upper bound of travel speed, travel times to distant objects in the universe are generally measured in terms of the speed of light. We describe these distances on astronomical scales in terms of light years of distance. A light year is the distance light travels in a vacuum in the span of a year.

The average time it takes light from our Sun to reach the Earth is approximately 8 minutes and 17 seconds.

**Refraction**

The speed at which light propagates through transparent materials, such as glass or air, is less than *c*. The ratio between *c* and the speed *v* at which light travels in a material is called the refractive index * n* of the material (

*=*

**n***/*

**c***). For example, visible light has a refractive index in air of 1.000293, so the speed of light in air is 299705 km/s or about 88 km/s slower than*

**v***. This refractive index in turn defines how light bends as it passes through the Earth's atmosphere.*

**c**

**Atmospheric refraction ^{[2]}** is the deviation of light or other electromagnetic wave from a straight line as it passes through the atmosphere due to the variation in air density as a function of altitude. This refraction is due to the velocity of light through air decreasing (the index of refraction increases) with increased density.

Atmospheric refraction causes astronomical objects to appear higher in the sky than they are in reality. It affects not only lightrays but all electromagnetic radiation, although in varying degrees (see dispersion in optics). For example in visible light, blue is more affected than red. This may cause astronomical objects to be spread out into a spectrum in high-resolution images.

The change in the speed of light is also what causes the rainbow effect of sunlight passing through a prism. As sunlight, which contains the entire spectrum of visible light, passes through the clear martial of a prism, the light changes velocity and the angle it passes through the medium. Since the different parts of the spectrum have different wavelengths, their path will be affected differently and the exiting light from the prism will have the visible spectrum spread noticeably.

# Notes

This constant, the speed of light, **c**, is specified as an exact number

Since 1983 the meter, the standard SI unit of length, has been defined by an international agreement to be the distance traveled by light in vacuum during exactly 1/299,792,458 of a second. This makes the speed of light exactly 299,792.458 km/s.

The speed of light previous to its definition in 1983 had been measured by bouncing lasers off a mirror placed on the moon and measuring the round trip travel time of the light.

# See also

Veritasium video on speed of light

## REFERENCE

[1] Speed of Light

Source: Wikipedia

URL: http://en.wikipedia.org/wiki/Speed_of_light

Public License: CC Attribution-ShareAlike 4.0 International

[2] Atmospheric refraction

Source: Wikipedia

URL: http://en.wikipedia.org/wiki/Atmospheric_refraction

Public License: CC Attribution-ShareAlike 4.0 International

vCalc content is available under the Creative Common Attribution-ShareAlike License; additional terms may apply. vCalc also provides terms of use and a privacy policy.

**c (speed of light) with units m/s**, is used in 3 calculators and 34 equations/constants.

**Equations and Constants **

- Astro Distances
- Astro Travel Time
- Energy (Rest)
- Full Impulse Speed
- Kinetic Energy (Relativistic)
- Mass - Relativistic
- RF Calculation of Speed of Light
- RF Frequency to Wavelength
- RF Wavelength to Frequency
- DeBroglie wavelength (relativistic)
- Energy - Relativistic
- Energy - Relativistic (m)
- Energía del Fotón
- Event Horizon
- Free-Space Path Loss (using frequency)
- G /(hbar*c) (Gravitational Constant) : `(GeV/c^2)^2`
- Index of Refraction
- kinetic energy (accelerating object simplified)
- kinetic energy (accelerating object step 1)
- Kinetic Energy (Relativistic) fixing units problem
- Lorentz factor
- mass-energy (`mathcalE=mgammac^2`)
- mass-energy (`mathcalE`)
- Momentum - Relativistic
- natural unit of velocity (c)
- Photon energy
- Relativistic mass
- Relativistic Mass
- Relativistic mass (m_r)
- RF Velocity of Propagation
- Schwarzschild Radius
- Signal-to-Noise (SNR) for SAR (2)
- speed from delta lambda and lambda
- Warp Speed
- more...