Mathematicians look here!
I need a little help to calculate the acceleration due to gravity in my location, what i understand is that i need my height over the sea surface and my latitude and i got that aswell.
My latitude is 58 and my height over sea surface is 31.001.
It says: One can calculate the value for g with the wide marine surface on the latitude with the connection:
g = 9,78049·(1 + 0,0052884·sin²(a) - 0,0000059·sin²(2a))
I don't really understand this, but i really need to know. Im greatefull for any help i can get, thanks in advance!
the formula for calculating the acceleration due to gravity is: Gravitational constant*mass/(radius squared)
the gravitational constant is 6.67 * 10^-11 earth's mass is 5.9736×1024 kg the average radius of earth is about 6367000 meters, but if you need to be more exact, you could probably figure that out using offset from sea level.
using the average radius, you get that acceleration due to gravity is equal to about 9.8286, but in physics you usually just use 9.8 m/s/s
I want to acheive this :)