Benchmark quantities

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Revision as of 22:42, 5 December 2020 by imported>Mark Widmer (Created section on angular or rotational speed, and associated benchmark values)
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Benchmark Values for (Nearly) Any Type of Physical Quantity

When encountering the unfamiliar in terms of the very large or the very small, this page is meant to help put the unfamiliar into perspective. For example, people know that a million miles (or kilometers) is a very long distance. But what is it comparable to? You probably know that it's larger than a typical continent ... or than Earth itself. But is it comparable to the distance to the Moon, or perhaps to the Sun? Or to the nearest star other than the Sun? Or to the size of our galaxy ... or the distance to the nearest galaxy?

Likewise, one millionth of an inch (or of a centimeter) is certainly small, but is it most comparable to the size of an atomic nucleus, a whole atom, a virus, or perhaps a single-celled organism?

Besides distances, similar questions can be asked about very fast or very slow speeds, very large or small masses, or time spans, or temperatures, ... and many other types of physical quantities.

Every quantity is given in terms of S.I. (metric) units. In some cases, alternative units are given if they are in common use. For example, the distance between Earth and the Sun, besides being given in meters, is also one Astronomical Unit (AU) by definition, and the AU is used for the distances to other objects within the solar system as well. Still larger distances are well represented by using light-years.

Time

Note, the repeat periods of cyclical phenomena, like the cycle time of a typical sound frequency, are not generally included here. Doing so would simply repeat information that can be found in the frequency section of this article. An exception is made for the period of rotation or revolution of astronomical bodies such as Earth or the Moon, since these have historically served as standard definitions of time intervals like the day or the year.

Value, in seconds Alternative Units Description
5.39 x 10-44 Planck time
1.1 x 10-10 Period of cesium-133 hyperfine transition used to define the second
1.6 x 10-9 Lifetime of the first excited state of a hydrogen atom
0.2 Human reaction time (typical)
1.3 Light travel time, Earth to the Moon (one-way)
500 8.3 minutes Light travel time, Earth to the Sun (one-way)
5500 92 minutes Orbital period of satellite at 400 km altitude
8.64 x 104 1 Day
2.4 (2.5) x 106 27.3 (29.5) days Orbital period of the Moon (Synodic period, or period of the Moon's phases)
3.16 x 107 1 Year Orbital period of Earth
2.4 x 109 76 years Human lifetime (typical)
7.8 x 109 248 years Orbital period of Pluto
1.2 x 1013 380 x 103 years Age of the universe when neutral hydrogen atoms formed
6.2 x 1015 0.20 billion years Orbital period of the Sun around the galaxy
1.4 x 1017 4.5 billion years Age of the solar system
4.3 x 1017 13.7 billion years Age of the universe


Distance and length

Value, in meters Alternative Units Description
1.62 x 10-35 Planck length
1.8 x 10-15 Diameter of a proton (hydrogen nucleus)
1-1.2 x 10-14 10-12 fm Diameter of nucleus for heavy atoms
5.29 x 10-10 0.529 Angstroms Radius of hydrogen atom (Bohr model)
3 x 10-8 30 nm rhinovirus (cold virus) diameter
0.8-1.2 x 10-7 80-120 nm Influenza virus diameter
0.2-3 x 10-7 20-300 nm Virus diameter (typical range)
4-7 x 10-7 400-700 nm Wavelength range of visible light
0.1-600 x 10-6 Bacterium
1-2 x 10-5 Amoeba (typical)
1 x 10-4 0.1 mm Human hair thickness (typical)
6-7 x 10-3 6-7 mm Housefly length (typical)
2 Human height (typical)
25 Blue whale length
527 Sears Tower height (to top of antenna)
8.8 x 103 Mount Everest, height above sea level
4 x 106 North America, width at approx. 40 degrees North latitude;

Los Angeles-to-New York distance

1.3 x 107 Earth's diameter
3.0 x 108 One light-second, the distance that light travels in one second
3.8 x 108 Earth-Moon distance
1.4 x 109 The Sun's diameter
1.50 x 1011 1 Astronomical Unit (AU) Earth-Sun average distance
4.5 x 1012 30 AU Sun-Neptune distance
9.46 x 1015 1 light-year (ly)

63.2 thousand AU

The distance that light travels in one year
3.09 x 1016 3.26 ly 1 parsec
4.0 x 1016 4.2 ly Sun-Proxima Centauri distance
8.6 x 1017 91 ly Geometric mean of distances to 20 brightest stars, excluding the Sun

(One measure of a "typical" distance to the brighter stars in the sky)

3.2 x 1018 340 ly Mean of distances to 20 brightest stars, excluding the Sun

(Another measure of a "typical" distance to the brighter stars in the sky)

9.5 x 1020 100 thousand ly Diameter of our galaxy, the Milky Way
1.5 x 1021 160 thousand ly Distance to Large Magellanic Cloud
2.4 x 1022 2.5 million ly Distance to Andromeda galaxy

Speed

Value, in meters per second Alternative Units Description
2 x 10-9 6 cm or 2 inches per year Rate of separation of Africa and South America
1 x 10-7 3 inches per week Rate at which grass grows (est.)
7 x 10-6 Tip of hour hand on a wall clock (2" length)
2 x 10-4 Tip of minute hand on a wall clock (4" length)
0.01 Tip of second hand on a wall clock (4" length)
0.03 1 inch per second Insect walking
1.3 3 miles per hour (mph) Human walking
6.7 "4-minute mile" Fast human distance runner
10 Fast human sprinter
27 60 mph Automobile highway speed
107 240 mph Approx. top speed of Indy race car
343 Speed of sound (dry air, atmospheric pressure, 20 C temperature)

Standard muzzle velocity of 0.22 caliber long rifle

460 Speed of Earth's surface at equator
510 Speed (rms) of air molecule at around room temperature (27 C, 300 K)
1020 The Moon (relative to Earth)
2700 Speed (rms) of a hydrogen atom at around room temperature (27 C, 300 K)
3100 Satellite in geosynchronous orbit (rela. to Earth)
4700 Pluto (rela. to the Sun)
7670 Satellite in low-Earth orbit (400 km altitude)
3.0 x 104 Earth (rela. to the Sun)
4.8 x 104 Mercury (rela. to the Sun)
2 x 105 c/1500 The Sun (rela. to the center of our galaxy
2.2 x 106 c/137 Speed of electron in hydrogen ground state (Bohr model)
2 x 108 (2/3)c Speed of light in glass

Speed of electronic signal in typical coaxial cable

2.6 x 108 0.87c Speed of an object when its kinetic energy is equal to its rest mass energy mc2
3 x 108 186,000 miles per second The speed of light, c

Mass

Value, in kilograms Alternative Units Description
9.11 x 10-31 Electron
1.67 x 10-27 Proton, or hydrogen atom
3.45 x 10-25 Lead-208, the heaviest stable atomic isotope
1.2 x 10-5 12 mg Housefly
0.040 40 g Standard-velocity 0.22 caliber bullet
4-8 10-20 lbs House cat
75 165 lbs Human (typical)
1-2 x 105 Blue whale
6 x 109 Great Pyramid at Giza, Egypt
6 x 1010 Three Gorges Dam, Hubei province, China
5 x 1018 Earth's atmosphere
1.4 x 1021 Earth's oceans
7.3 x 1022 The Moon
6.0 x 1024 Earth
1.9 x 1027 Jupiter
2.0 x 1030 1 solar mass The Sun
1.5 x 1031 7.5 solar masses Betelgeuse, a supergiant star
1.3 x 1032 65 solar masses Total mass of binary black hole system in first-ever detection of gravitational waves (2015)
8.2 x 1036 4.1 x 106 solar masses Black hole at center of Milky Way galaxy
1 x 1040 6-7 x 109 solar masses Black hole in M87, the first black hole ever imaged (2019)
1 x 1042 5 x 1011 solar masses Milky Way galaxy (our galaxy)
2-3 x 1042 Local group of galaxies
2-3 x 1045 Local (Virgo) supercluster of galaxies

Temperature

While Celsius and Fahrenheit are two commonly used temperature scales, for comparison purposes it is best to use an absolute temperature scale, so Kelvins (K) are the main units in the listings below.

Value, in Kelvins Alternative Units Description
0 -273 C, -460 F Absolute zero
2.7 Cosmic microwave background
4.2 and less Liquid helium
20 and less Liquid hydrogen
77 and less Liquid nitrogen
90 and less Liquid oxygen
184 -89 C, -128 F Coldest recorded (natural) temperature on Earth

(Vostok Station, Antarctica, on July 21, 1983)

195 and less -78 C, -109 F "Dry ice", frozen carbon dioxide
273 0 C, 32 F Water freezes, or cold weather
293-296 20-23 C, 68-73 F Room temperature, or mild weather
310 37.0 C, 98.6 F Human body temperature, or very hot weather
373 100 C, 212 F Water boils
450 177 C, 350 F Moderately hot household oven
530 260 C, 500 F Very hot household oven
770 500 C, 930 F Faintly red-hot object
970 700 C, 1300 F Moderately red-hot object
2800 2500 C, 4600 F Tungsten lightbulb filament (typical), a white-hot object
5800 5500 C, 9900 F The Sun's surface
10,000 9700 C, 17,500 F Surface of a blue-hot star.

Examples: Sirius is 9940 K. Rigel is 11,000 K.

1.5 x 107 1.5 x 107 C, 2.7 x 107 F The Sun's center

Energy

Value, in joules Alternative Units Description
9.4 x 10-25 5.9 x 10-6 eV Hyperfine energy difference in the ground state of a hydrogen atom
6.1 x 10-21 0.038 eV Energy of cesium-133 hyperfine transition used to define the second
1.60 x 10-19 1 eV One electronvolt
2.8 x 10-19 1.8 eV Low energy of visible-light photon (red, 700 nm wavelength)
5.0 x 10-19 3.1 eV High energy of visible-light photon (violet, 400 nm wavelength)
2.2 x 10-18 13.6 eV Energy to ionize a hydrogen atom
8.2 x 10-14 0.5110 MeV Electron rest-mass energy
1.5 x 10-10 938.3 MeV Proton rest-mass energy
5 x 10-5 Kinetic energy of housefly flying (12 mg, 3 m/s)
70 Kinetic energy of human walking (80 kg, 1.3 m/s or 3 mph)
1055 1 BTU One British thermal unit
2400 Kinetic energy of 0.22 caliber long-rifle bullet (40 g, 346 m/s)
4300 Kinetic energy of human world-class sprinter (80 kg, 10.4 m/s)
11,000 0.003 kW-h Electrical energy in a battery: AA cell (1.5 volts, 2000 mA-hours)
1.0 x 105 Energy to heat 10 oz. (280 g) of water from 20 C to 100 C (68 F to 212 F)
6.7 x 105 Energy to boil 10 oz. (280 g) of water
3.6 x 106 1 kW-h One kilowatt-hour
2.2 x 108 Energy consumed by 60 W filament lightbulb in 1000 hours lifetime.
3.7 x 109 Potential energy of satellite-Earth system: 1000 kg satellite at 400 km altitude
2.9 x 1010 Kinetic energy of 1000 kg satellite in 400 km altitude low-Earth orbit

This is roughly eight times the potential energy of raising the satellite to this altitude.

9.0 x 1016 Rest-mass energy of one kilogram of mass
1 x 1019 Annual electrical consumption of USA (1999)
1.77 x 1032 Difference in kinetic (or potential) energy for Earth (or Earth-Sun system) at perihelion and aphelion
2.65 x 1033 Kinetic energy of Earth, in the Sun's rest frame
-5.30 x 1033 Gravitational potential energy of the Sun and Earth, relative to infinite separation

Frequency

This section is for cyclical or periodic phenomena other than those involving rotations or revolutions, which are covered in the following section: "Angular or rotational speed"

Value, in hertz Alternative Units Description
50 or 60 Household electrical outlet
20 - 20,000 Audible sound
1 x 106 1000 kHz AM radio frequency
1 x 108 100 MHz FM radio frequency
2.45 x 109 Microwave oven frequency
9.19 x 109 Frequency of cesium-133 hyperfine transition used to define the second
4.3-7.5 x 1014 Frequency of visible light (700-400 nm wavelength)

Angular or rotational speed

This section is for rotational (spinning) motion or the revolution (e.g., orbiting) of an object about another object. For non-rotational, periodic phenomena, see the previous section: "Frequency"

Value, in cycles per second (hertz) Alternative Units Description
3.17 x 10-8 Revolution of Earth about the Sun
1.16 x 10-5 Rotation of Earth about its axis
0.0167 1 rpm One revolution per minute
12.5 750 rpm Car engine, idling
83-100 5000-6000 rpm Car engine, typical maximum speed