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`g_("(latitude)") = 9.7803267714*( (1+ 0.00193185138639*sin^2( phi ))/sqrt(1- 0.00669437999013* sin^2( phi )))`

Enter a value for all fields

The **Acceleration Due to Gravity at a Latitude **calculator estimates the acceleration due to gravity on Earth at a specific latitude above or below the equator.

**INSTRUCTIONS**: Choose units and enter the following:

- (
**Φ**) Latitude (angle from the equator)

**Acceleration Due to Gravity (g _{Lat}):** The calculator returns the acceleration in meters per second squared. However, this can be automatically converted to compatible units via the pull-down menu.

The **International Gravity** formula computes the approximate acceleration due to gravity on the surface of the Earth at Sea Level based on the **latitude**. The results are returned in meters per second squared, but can be converted to numerous units via the pull-down menu.

The formula for the Acceleration Due to Gravity at a Latitude is:

`g_(Lat) = 9.7803267714*( (1+ 0.00193185138639*sin^2(phi))/sqrt(1- 0.00669437999013* sin^2(phi)))`

where:

- g
_{Lat}= Acceleration Due to Gravity at the latitude - Φ - Latitude

The earth is not a perfect sphere, because of the effect of the Earth's rotation and the resulting centrifugal force has caused the Earth to have a bulge around the equator, the Earth is more approximately an oblate spheroid. The Earth's rotation and the resultant centrifugal force (heading outward) counteracts the effect of gravity (downward). This has a measurable in the apparent acceleration due to gravity. A good approximation of the total effect is modeled in the International Gravity Formula above. To indicate the ascension or decline from the equator, latitude (φ) can be used.