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Acceleration

 
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Akanni rotimi



Joined: 19 Mar 2013
Posts: 1
Location: Lagos, Nigeria

PostPosted: Wed Mar 20, 2013 6:43 am    Post subject: Acceleration Reply with quote

What is the highest value, acceleration can be within earth's crust?
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hepcj
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Joined: 23 Jun 2007
Posts: 125

PostPosted: Tue Mar 26, 2013 2:45 am    Post subject: Reply with quote

The conventional answer is that the highest acceleration due to gravity is found at the poles simply because the Earth is not a perfect sphere, rather it is more a flattened sphere (an oblate spheroid). However to me does not seem like a satisfactory answer. There will be some small reduction of gravity at the equator due to the centripetal force of the Earth's rotation but the reality is that the Earth is not an oblate spheroid, at least not locally. To find the local acceleration due to gravity however, one would need to calculate the gravitational force from everywhere else on the planet and since the locally the Earth is far from a sphere this is difficult task mathematically. However, the variation in gravitational field has been measured from space by measuring a set distance between two satellites one following the other travelling in orbit. As the density of the Earth that the satellite are passing over changes, this will change the orbital speed of the satellites and the satellites will move closer or further apart. As the orbital paths cover the whole of the Earth a picture of the variation in gravitational acceleration is built up. Maps have been published showing the Earth looking like a punctured football where the height of the relief varies with gravitational acceleration.
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