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# Acceleration of Gravity vs. Latitude and Elevation

## Acceleration of gravity due to latitude and elevation above sea level.

Acceleration of gravity at sea level and elevation related to north-south position on earth (degrees latitude):

### Acceleration of Gravity vs. Latitude and Elevation (m/s2) ### Acceleration of Gravity vs. Latitude (ft/s2) ### Example - Time for Falling Object to Hit the Ground on the Pole or on the Equator

The distance traveled after some time by a free falling object can be expressed as:

s = 1/2 ag t2

where

s = distance (m, ft)

ag = acceleration of gravity (m/s2, ft/s2

t = time (s)

The acceleration of gravity is stronger at the poles than at equator and the equation above can be modified to

t = (2 s / ag)1/2

The time for an object at level 1 m to hit the ground on the pole can be calculated as:

t = (2 (1 m) / (9.832 m/s2))1/2

= 0.4510 s

The time for an object at level 1 m to hit the ground on the equator can be calculated as:

t = (2 (1 m) / (9.78 m/s2))1/2

= 0.4522 s

### Example - The Weight of a Large Man in Canada vs. Venezuela

The acceleration of gravity in Canada at latitude 60 degrees is approximately 9.818 m/s2 and the acceleration of gravity in Venezuela at latitude 5 degrees is approximately 9.782 m/s2.

The weight - or gravity force - of a large man with mass 100 kg in Canada can be calculated as

Fg = (100 kg) (9.818 m/s2)

= 982 N

The weight the man in Venezuela can be calculated as

Fg = (100 kg) (9.782 m/s2)

= 978 N

## Related Topics

• Miscellaneous - Engineering related topics like Beaufort Wind Scale, CE-marking, drawing standards and more.

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## Citation

• Engineering ToolBox, (2009). Acceleration of Gravity vs. Latitude and Elevation. [online] Available at: https://www.engineeringtoolbox.com/acceleration-gravity-latitude-d_1554.html [Accessed Day Mo. Year].

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