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Re: [Phys-L] apparent weight



-----Original Message-----
From: Phys-l [mailto:phys-l-bounces@www.phys-l.org] On Behalf Of John
Denker
Sent: Thursday, December 11, 2014 4:40 PM
To: Phys-L@Phys-L.org
Subject: Re: [Phys-L] apparent weight

I never thought this was tricky until I started doing some googling. Wow, are
there a bunch of wrong answers out there.


I haven't reviewed them super-carefully, but the following look correct on
first impression:
http://www.lhup.edu/~DSimanek/scenario/tides.htm
http://tidesandcurrents.noaa.gov/restles3.html

Here is a key point:

The centrifugal field due to the rotation of the earth plays no role in
producing the tides. It gives rise to the ellipsoidal (non spherical) shape of
the earth, but that is a background constant. The tides exist relative to that.

Therefore you can save yourself a lot of trouble by analyzing the case of a
non-spinning earth. The tides will be the same. Not spinning once a day, not
even spinning once a month or once a year, but fixed in orientation. The
stars never rise or set.

This is indeed a key point. I got it wrong in my analysis. The centrifugal field is already taken into account in the weight of the person standing on a scale on the equator of an earth-like object that is spinning at the same rate as the earth but is not in orbit about a star.