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Gravity of Earth

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Gravity of Earth

The gravity of Earth, denoted by g, is the net acceleration that is imparted to objects due to the combined effect of gravitation (from mass distribution within Earth) and the centrifugal force (from the Earth's rotation). It is a vector quantity, whose direction coincides with a plumb bob and strength or magnitude is given by the norm g = ‖ g ‖ {\displaystyle g=\|{\mathit {\mathbf {g} }}\|} . In SI units, this acceleration is expressed in metres per second squared (in symbols, m/s2 or m·s−2) or equivalently in newtons per kilogram (N/kg or N·kg−1). Near Earth's surface, the acceleration due to gravity, accurate to 2 significant figures, is 9.8 m/s2 (32 ft/s2). This means that, ignoring the effects of air resistance, the vertical component of velocity of an object falling freely will increase in the downwards direction by about 9.8 metres per second (32 ft/s) every second. The precise strength of Earth's gravity varies with location. The conventional value for standard gravity is 9.80665 m⋅s−2‍ by definition, originally adopted by the CGPM in 1901. This quantity is denoted variously as gn, ge, g0, or simply g (which is also used for the variable local value). The weight of an object on Earth's surface is the downwards force on that object, given by Newton's second law of motion, or F = m a (force = mass × acceleration). Gravitational acceleration contributes to the total gravity acceleration, but other factors, such as the rotation of Earth, also contribute, and, therefore, affect the weight of the object. Gravity does not normally include the gravitational pull of the Moon and Sun, which are accounted for in terms of tidal effects.

Tables

Calculator · Magnitude › Altitude
g0
g0
Re
g0
6,371.00877 km
9.80665 m/s2
h
h
Re
h
6,371.00877 km
0 km
gh
gh
Re
gh
6,371.00877 km
9.80665 m/s2
mw- .mw- .mw- .mw- gh⁄g0
mw- .mw- .mw- .mw- gh⁄g0
Re
mw- .mw- .mw- .mw- gh⁄g0
6,371.00877 km
1.00000
Re
6,371.00877 km
g0
9.80665 m/s2
h
0 km
gh
9.80665 m/s2
mw- .mw- gh⁄g0
1.00000
Acceleration due to gravity in various cities · Comparative values worldwide
Anchorage
Anchorage
Location
Anchorage
m/s2
9.826
ft/s2
32.24
Col 4
Helsinki
Location
9.825
m/s2
32.23
ft/s2
Oslo
Col 8
9.825
Location
32.23
m/s2
Copenhagen
ft/s2
9.821
Col 12
32.22
Stockholm
Stockholm
Location
Stockholm
m/s2
9.818
ft/s2
32.21
Col 4
Manchester
Location
9.818
m/s2
32.21
ft/s2
Amsterdam
Col 8
9.817
Location
32.21
m/s2
Kotagiri
ft/s2
9.817
Col 12
32.21
Birmingham
Birmingham
Location
Birmingham
m/s2
9.817
ft/s2
32.21
Col 4
London
Location
9.816
m/s2
32.20
ft/s2
Brussels
Col 8
9.815
Location
32.20
m/s2
Frankfurt
ft/s2
9.814
Col 12
32.20
Seattle
Seattle
Location
Seattle
m/s2
9.811
ft/s2
32.19
Col 4
Paris
Location
9.809
m/s2
32.18
ft/s2
Montréal
Col 8
9.809
Location
32.18
m/s2
Vancouver
ft/s2
9.809
Col 12
32.18
Istanbul
Istanbul
Location
Istanbul
m/s2
9.808
ft/s2
32.18
Col 4
Toronto
Location
9.807
m/s2
32.18
ft/s2
Zurich
Col 8
9.807
Location
32.18
m/s2
Ottawa
ft/s2
9.806
Col 12
32.17
Skopje
Skopje
Location
Skopje
m/s2
9.804
ft/s2
32.17
Col 4
Chicago
Location
9.804
m/s2
32.17
ft/s2
Rome
Col 8
9.803
Location
32.16
m/s2
Wellington
ft/s2
9.803
Col 12
32.16
New York City
New York City
Location
New York City
m/s2
9.802
ft/s2
32.16
Col 4
Lisbon
Location
9.801
m/s2
32.16
ft/s2
Washington, D.C.
Col 8
9.801
Location
32.16
m/s2
Athens
ft/s2
9.800
Col 12
32.15
Madrid
Madrid
Location
Madrid
m/s2
9.800
ft/s2
32.15
Col 4
Melbourne
Location
9.800
m/s2
32.15
ft/s2
Auckland
Col 8
9.799
Location
32.15
m/s2
Denver
ft/s2
9.798
Col 12
32.15
Tokyo
Tokyo
Location
Tokyo
m/s2
9.798
ft/s2
32.15
Col 4
Buenos Aires
Location
9.797
m/s2
32.14
ft/s2
Sydney
Col 8
9.797
Location
32.14
m/s2
Nicosia
ft/s2
9.797
Col 12
32.14
Los Angeles
Los Angeles
Location
Los Angeles
m/s2
9.796
ft/s2
32.14
Col 4
Cape Town
Location
9.796
m/s2
32.14
ft/s2
Perth
Col 8
9.794
Location
32.13
m/s2
Kuwait City
ft/s2
9.792
Col 12
32.13
Taipei
Taipei
Location
Taipei
m/s2
9.790
ft/s2
32.12
Col 4
Rio de Janeiro
Location
9.788
m/s2
32.11
ft/s2
Havana
Col 8
9.786
Location
32.11
m/s2
Kolkata
ft/s2
9.785
Col 12
32.10
Hong Kong
Hong Kong
Location
Hong Kong
m/s2
9.785
ft/s2
32.10
Col 4
Bangkok
Location
9.780
m/s2
32.09
ft/s2
Manila
Col 8
9.780
Location
32.09
m/s2
Jakarta
ft/s2
9.777
Col 12
32.08
Kuala Lumpur
Kuala Lumpur
Location
Kuala Lumpur
m/s2
9.776
ft/s2
32.07
Col 4
Singapore
Location
9.776
m/s2
32.07
ft/s2
Mexico City
Col 8
9.776
Location
32.07
m/s2
Murcia
ft/s2
9.780
Col 12
32.09
Location
m/s2
ft/s2
Location
m/s2
ft/s2
Location
m/s2
ft/s2
Location
m/s2
ft/s2
Anchorage
9.826
32.24
Helsinki
9.825
32.23
Oslo
9.825
32.23
Copenhagen
9.821
32.22
Stockholm
9.818
32.21
Manchester
9.818
32.21
Amsterdam
9.817
32.21
Kotagiri
9.817
32.21
Birmingham
9.817
32.21
London
9.816
32.20
Brussels
9.815
32.20
Frankfurt
9.814
32.20
Seattle
9.811
32.19
Paris
9.809
32.18
Montréal
9.809
32.18
Vancouver
9.809
32.18
Istanbul
9.808
32.18
Toronto
9.807
32.18
Zurich
9.807
32.18
Ottawa
9.806
32.17
Skopje
9.804
32.17
Chicago
9.804
32.17
Rome
9.803
32.16
Wellington
9.803
32.16
New York City
9.802
32.16
Lisbon
9.801
32.16
Washington, D.C.
9.801
32.16
Athens
9.800
32.15
Madrid
9.800
32.15
Melbourne
9.800
32.15
Auckland
9.799
32.15
Denver
9.798
32.15
Tokyo
9.798
32.15
Buenos Aires
9.797
32.14
Sydney
9.797
32.14
Nicosia
9.797
32.14
Los Angeles
9.796
32.14
Cape Town
9.796
32.14
Perth
9.794
32.13
Kuwait City
9.792
32.13
Taipei
9.790
32.12
Rio de Janeiro
9.788
32.11
Havana
9.786
32.11
Kolkata
9.785
32.10
Hong Kong
9.785
32.10
Bangkok
9.780
32.09
Manila
9.780
32.09
Jakarta
9.777
32.08
Kuala Lumpur
9.776
32.07
Singapore
9.776
32.07
Mexico City
9.776
32.07
Murcia
9.780
32.09

References

  1. Photojournal
    https://photojournal.jpl.nasa.gov/catalog/PIA12146
  2. Precise Measurement of Mass
    https://web.archive.org/web/20070227132140/http://www.space-electronics.com/Literature/Precise_Measurement_of_Mass.PDF
  3. Physical Geodesy
  4. The NIST Reference on Constants, Units, and Uncertainty
    https://physics.nist.gov/cgi-bin/cuu/Value?gn
  5. The International System of Units (SI)
    https://www.bipm.org/documents/20126/41483022/SI-Brochure-9-EN.pdf
  6. Geophysical Research Letters
    https://ui.adsabs.harvard.edu/abs/2013GeoRL..40.4279H
  7. "Wolfram|Alpha Gravity in Kuala Lumpur", Wolfram Alpha, accessed November 2020
    https://www.wolframalpha.com/input/?i=gravity+in+kuala+lampur
  8. From Artefacts to Atoms: The BIPM and the Search for Ultimate Measurement Standards
  9. Resolution of the 3rd CGPM (1901), page 70 (in cm/s2). BIPM – Resolution of the 3rd CGPM
    http://www.bipm.org/en/CGPM/db/3/2/
  10. Cornell University
    https://web.archive.org/web/20130728125707/http://curious.astro.cornell.edu/question.php?number=310
  11. "The G's in the Machine" Archived 2020-09-21 at the Wayback Machine, NASA, see "Editor's note #2"
    https://science.nasa.gov/science-news/science-at-nasa/2003/24jan_micro-g/
  12. Physics for scientists and engineers
  13. Gravitation and cosmology
    https://archive.org/details/gravitationcosmo00stev_0
  14. Physics of the Earth and Planetary Interiors
    http://www.openseismo.org/contributors/Lee/MoWorking_Backups/Mo2012_0414backup/MoWorking/Paper_Pending/Dziewonski-Anderson_PEPI1981_p297.pdf
  15. Annual Review of Earth and Planetary Sciences
    https://ui.adsabs.harvard.edu/abs/1981AREPS...9..415W
  16. Gravity from the Ground Up: An Introductory Guide to Gravity and General Relativity
    https://doi.org/10.1017%2Fcbo9780511807800.009
  17. Gravitational Fields Widget as of Oct 25th, 2012 – WolframAlpha
    http://www.wolframalpha.com/widgets/view.jsp?id=d34e8683df527e3555153d979bcda9cf
  18. T.M. Yarwood and F. Castle, Physical and Mathematical Tables, revised edition, Macmillan and Co LTD, London and Basingst
  19. International Gravity formula Archived 2008-08-20 at the Wayback Machine
    http://geophysics.ou.edu/solid_earth/notes/potential/igf.htm
  20. Department of Defense World Geodetic System 1984 – Its Definition and Relationships with Local Geodetic Systems
    https://web.archive.org/web/20140411101805/http://earth-info.nga.mil/GandG/publications/tr8350.2/wgs84fin.pdf
  21. www.physicsclassroom.com
    https://www.physicsclassroom.com/class/circles/lesson-3/the-value-of-g
  22. Remote Sensing
    https://doi.org/10.3390%2Frs11080956
  23. Nature Climate Change
    https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6750016
  24. Journal of Geodesy
    https://doi.org/10.1007%2Fs00190-015-0825-1
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