Re: gravitational force -airplane motion and earths rotation

From: surendra (efuzzyone_at_netscape.net)
Date: 08/25/04 

Date: Wed, 25 Aug 2004 07:44:53 +0000 (UTC)

I am not a physics expert(I have just taken high school physics) but I
have some serious objections to your argument.

Edward Green wrote:
> But anyway, pedantically, we might mention one effect tending to agree
> with the OP's friend: say an object ascended 1000km straight up into
> space over London, with no other acceleration, hung out, and
> eventually descended. If it hung out long enough, it would find
> itself descending in Canada somewhere, since the tangential velocity
> it had on the Earth's surface would not be the tangential velocity
> corresponding to the same 2pi/24hr rotation rate at 1000km altitude;
> so the Earth would turn under it, thus somewhat confirming to the idea
> of the OP's friend. Of course, we could also describe the same
> trajectory relative to the rotating Earth by the "Coriolos force".
>
> I'm not claiming this is significant for aircraft.
>
> <...>
>

When the object is on the surface of earth it has certain angular
velocity relative to the center of earth. As the object ascends,assuming
there is only a vertical force acting along a line from the center of
earth to the CG of the object, the angular velocity relative to the
center of earth should remain constant.
The tangential velocity will increase but so does the circumference of
earth as the altitude increases. The object will have to travel a
greater distance relative to the center of earth compared to the land of
London. And this increase in tangential velocity is what helps the
object to be in London and not recede to Asia.
I hope, you are getting my point.

So, if the object was initially at London, it will remain in the sky
above London, and it will never reach Canada.

   - Surendra

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