nader - Jan 28, 2012 10:58 am - Voted 10/10
Lowest Gravity in IranVery interesting,
"Lowest gravity in Iran"?. I understand what you mean. Mt. Hezar is in southern Iran at a latitude of only around 29 degrees and an elevation of 4500 m. I will look at the map and see what the exact latitude of Mt. Taftan is. Although it is lower than Hezar, it might be closer to the equator. Will have to do the calculations and see which one has lower gravity. All I need is 2 equations that I learned in high school.
F=mVV/R
F=GMm/RR
Now you got me thinking about this.
Thank you
nader - Jan 28, 2012 11:33 pm - Voted 10/10
Calculations/lowest gravity in IranI have assumed a value of 9.834116 m/sec squared for g at sea level north pole.
For any Point "A" on earth with an elevation of "h" and Latitude of "A" the g force becomes:
g=GM/(R+h)(R+h)-VV/r
Where
G=Gravitational constant
M=mass of earth
R=radius of earth
V=the speed with which point A goes around the earth
r=Distance between Point A on the surface of the earth and the axis of roation of earth
VV/r=(2 Pi R Cos A)(2 Pi R Cos A)/(86400)(86400)R Cos A
Pi=3.1415
86400=number of seconds in 24 hours
Cos A =Cosine of latitude of A
So the "g" equation becomes:
g={GM/(R+h)(R+h)}-{4 Pi Pi R Cos A/(86400)(86400)}
For Mt. Hezar h=4500 m, A=29.5 degrees
g=9.790932
For Mt. Taftan h=4000 m, A=28.6 degrees
g=9.792217
The southern-most Point in Iran is at sea level just to the east of Chah Bahar with a latitude of almost exactly 25 degrees.
g=9.803609
So, Mt. Hezar probably does have the lowest gravity. This calculation of course ignores many other facts such as the mass of the mountain under its summit, the fact that the earth bulges out at the equator making its diameter longer and many other things.
nader - Jan 29, 2012 1:07 pm - Voted 10/10
Re: Calculations/lowest gravity in IranDamavand is even lower
I just did the calculations for Damavand.
h=5671 m
A=36
g becomes even lower:
g=9.789387
nader - Jan 30, 2012 11:11 am - Voted 10/10
Re: Calculations/lowest gravity in IranDon't mean to beat this subject to death, but I just googled the subject and came up with this wonderful paper:
http://www.ualberta.ca/~unsworth/UA-classes/210/notes210/B/210B3-2008.pdf
I see that I have to make some corrections to the equations I came up with above.
bijan_tango - Feb 13, 2012 6:20 pm - Hasn't voted
woooooowwww...you`ve worked on it real hard! i mean these calculations need an explorer`s mind to push to do but i gotta say that i didn`t do the calculation my self,, there was a sign from national survey institution saying that the summit has the lowest gravity in Iran... but i really respect your eager mind for doing all these work to understand the world around us. I`m proud to have you as my friend Nader :)
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