Weight Change for Man Flying East to West

AI Thread Summary
When a man weighing 200 pounds flies due east at 600 mph, he experiences a slight decrease in weight due to centripetal acceleration. Calculations show that if he turns around and flies due west, he would weigh approximately 201.6 pounds, which is about 1.595 pounds heavier than when flying east. This difference arises from variations in centripetal acceleration, calculated using the Earth's radius and the height of the plane. The discussion also humorously touches on the implications of weight changes for travel and sleep synchronization, and raises a question about weight on Jupiter, considering its larger size and shorter day length.
ceptimus
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A man in a plane flying due east above the equator at 600mph weighs 200 pounds. How much heavier will he weigh, if the plane turns around and flies due west?
 
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hmm
wild guess
::approx 203 pounds[/Color]::

-- AI
 
slightly different...

Considering g=9.81m/s² (sea level), H_plane=10km, and Earth_radius=6377km
::: 201.6 pounds :::
 
I get the same answer as Rogerio. The question asked how much heavier the man weighs, and the answer I got is
:: 1.595 pounds ::

I used Earth radius = 6378.137 km, plane height = 38,920.6 ft (this gives a flight radius of 6,390,000 metres)

I used a sidereal day of 86,164.1 seconds, and this results in a centripetal acceleration of 0.084356 m/s/s when flying east, and 0.006119 m/s/s when flying west.
 
:eek: I never considered I'd weigh more if I traveled west! There goes my plan of moving west continuously to synchronize my sleep schedule with normal daylight hours. I guess I'll just have to travel really far east :biggrin:

(No, this is not at all a serious response; I may be a biologist, but they did make me take some basic physics classes).
 
I've always wondered something. I know Jupiter is quite a bit bigger than earth, but has a much shorter day. How much would you weigh on Jupiter taking into account this?
 
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