Value of Gravitational Acceleration at Global Locations

Value of Gravitational Acceleration at Global Locations

Gravitational acceleration varies significantly at different locations on Earth, influenced by factors such as latitude, altitude, and local geological conditions. This resource provides precise measurements of gravitational acceleration (g) in meters per second squared (m/s²) for various cities and regions, including the North Pole, New York, and San Francisco. It also explains how the Earth's shape and rotation affect gravity, detailing the equatorial bulge and centrifugal forces. Ideal for students and researchers studying physics, geography, or Earth sciences, this document serves as a comprehensive reference for understanding gravitational variations across the globe.

Key Points

  • Lists gravitational acceleration values for locations like the North Pole and New York City.
  • Explains how altitude and latitude influence gravitational strength.
  • Describes the effects of Earth's rotation on apparent gravity.
  • Includes comparative gravitational data for cities worldwide, such as Amsterdam and Tokyo.
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Value of "g" Acceleration due to gravity at different locations
Place
Latitude
Altitude
"g" in m/s
2
North Pole
90
o
0m
9.832
Green Land
70
o
20m
9.825
Stockholm
59
o
45m
9.818
Brussels
51
o
102m
9.811
Benff
51
o
1376m
9.808
New York
41
o
38m
9.803
Chicago
42
o
182m
9.803
Denver
40
o
1638m
9.796
San Francisco
38
o
114m
9.800
Canal Zone
9
o
6m
9.782
Java
6
o
South
7m
9.782
New Zealand
37
o
South
3m
9.800
Taken from http://www.haverford.edu/educ/knight-booklet/accelarator.htm
Earth’s Gravity (from Wikipedia)
Precise values of g vary depending on the location on the Earth's surface. The standard
acceleration due to gravity at the Earth's surface is, by definition, 9.806650 m/s². This
quantity is known variously as g
n
, g
e
(though this sometimes means the normal equatorial
value on Earth, 9.78033 m/s²), g
0
, gee, or simply g (which is also used for the variable
local value). The variation in gravitational strength per unit distance is measured in
inverse seconds squared or in eotvoses, a cgs unit of gravitational gradient.
When measuring g with precision, it is important to distinguish between the actual
strength of gravity and the apparent strength of gravity. Local variations in the actual
strength of the Earth's gravitational field arise because the earth is not a perfect sphere
and is not of uniform density. The main deviation from sphericity is the earth's equatorial
bulge, which causes gravity to be weaker at the equator than the poles. The local
topography (such as the presence of mountains) and geology (the density of rocks in the
vicinity) also influence the gravitational field to a small extent.
Other forces acting on an object may augment or oppose the earth's actual gravitational
field, causing variations in the apparent force of gravity (see also Apparent weight.) One
example is the fictitious centrifugal force caused by the earth's rotation, which imparts an
upwards force opposing gravity and diminishing its apparent effect. This effect is
stronger at lower latitudes (i.e. nearer the equator), reducing to zero at the poles. Another
example is buoyancy: even in air, objects experience a small supporting force which
reduces the apparent strength of gravity. Finally, the gravitational effects of the Moon
and the Sun (also the cause of the tides) also have a small effect on apparent gravity,
depending on their relative positions; typical variations are 2 µm/s² (0.2 mGal) over the
course of a day.
In combination, the equatorial bulge and the effects of centrifugal force mean that sea-
level gravitational acceleration increases from about 9.780 m/s² at the equator to about
9.832 m/s² at the poles, so an object will weigh about 0.5% more at the poles than at the
equator [1]. See acceleration due to gravity for further information.
Gravity also decreases with altitude (since greater altitude means greater distance from
the earth's centre). All other things being equal, an increase in altitude from sea level to
the top of Mount Everest (8,850 metres) causes a weight decrease of about 0.28%. It is a
common misconception that astronauts in orbit are weightless because they have flown
high enough to "escape" the earth's gravity. In fact, at an altitude of 250 miles (roughly
the height that the space shuttle flies) gravity is still nearly 90% as strong as at the earth's
surface, and weightlessness actually occurs because orbiting objects are in free-fall.
If the earth was of perfectly uniform composition then, during a descent to the centre of
the earth, gravity would decrease linearly with distance, reaching zero at the centre. In
reality, the gravitational field peaks within the Earth at the core-mantle boundary where it
has a value of 10.7 m/s².
Comparative gravities of various cities around the world
The table below shows gravitational acceleration or various cities around the world.
[1]
Amsterdam
9.813 m/s²
Glasgow
9.816 m/s²
Paris
9.809 m/s²
Athens
9.807 m/s²
Havana
9.788 m/s²
Rio de Janeiro
9.788 m/s²
Auckland, NZ
9.799 m/s²
Helsinki
9.819 m/s²
Rome
9.803 m/s²
Bangkok
9.783 m/s²
Kuwait
9.793 m/s²
San Francisco
9.800 m/s²
Brussels
9.811 m/s²
Lisbon
9.801 m/s²
Singapore
9.781 m/s²
Buenos Aires
9.797 m/s²
London
9.812 m/s²
Stockholm
9.818 m/s²
Calcutta
9.788 m/s²
Los Angeles
9.796 m/s²
Sydney
9.797 m/s²
Cape Town
9.796 m/s²
Madrid
9.800 m/s²
Taipei
9.790 m/s²
Chicago
9.803 m/s²
Manila
9.784 m/s²
Tokyo
9.798 m/s²
Copenhagen
9.815 m/s²
Mexico City
9.779 m/s²
Vancouver, BC
9.809 m/s²
Nicosia
9.797 m/s²
New York
9.802 m/s²
Washington, DC
9.801 m/s²
Jakarta
9.781 m/s²
Oslo
9.819 m/s²
Wellington, NZ
9.803 m/s²
Frankfurt
9.810 m/s²
Ottawa
9.806 m/s²
Zurich
9.807 m/s²
Taken from http://en.wikipedia.org/wiki/Gravity_(Earth)
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FAQs of Value of Gravitational Acceleration at Global Locations

How does latitude affect gravitational acceleration?
Gravitational acceleration varies with latitude due to the Earth's equatorial bulge. At the equator, gravity is weaker because the centrifugal force from the Earth's rotation opposes gravitational pull. Conversely, at the poles, gravity is stronger, reaching about 9.832 m/s². This variation means that an object weighs approximately 0.5% more at the poles than at the equator, illustrating the significant impact of Earth's shape and rotation on gravitational force.
What is the standard value of gravitational acceleration?
The standard acceleration due to gravity at Earth's surface is defined as 9.806650 m/s². This value, often referred to as 'g', serves as a reference point for calculations in physics and engineering. However, actual gravitational acceleration can vary based on local geological conditions and altitude, with values ranging from about 9.780 m/s² at the equator to 9.832 m/s² at the poles.
How does altitude influence gravity?
Gravity decreases with altitude because an object is further from the Earth's center. For instance, moving from sea level to the top of Mount Everest (8,850 meters) results in a weight decrease of about 0.28%. This phenomenon is crucial for understanding how gravity affects objects in different environments, including those in high-altitude locations.
What are the gravitational values for major cities?
Gravitational acceleration varies across major cities, with specific values measured in m/s². For example, New York has a gravitational acceleration of approximately 9.802 m/s², while Tokyo measures around 9.798 m/s². These variations are influenced by local topography and geology, making it essential for studies in physics and engineering to consider these differences.
What factors influence local variations in gravitational strength?
Local variations in gravitational strength arise from several factors, including the Earth's non-uniform density, topographical features like mountains, and geological composition. The presence of dense rock formations can increase gravitational pull in specific areas, while lighter materials may reduce it. Additionally, the Earth's rotation creates centrifugal forces that affect apparent gravity, particularly at lower latitudes.
What is the significance of the equatorial bulge on gravity?
The equatorial bulge is a result of the Earth's rotation, causing it to be slightly flattened at the poles and bulging at the equator. This shape leads to a weaker gravitational pull at the equator compared to the poles. Understanding the equatorial bulge is essential for accurate calculations in geophysics and for applications in satellite technology, as it affects satellite orbits and gravitational measurements.

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