Problem with Coriolis Acceleration

  • #1

Homework Statement


Find the magnitude in g's of the Coriolis acceleration due to the earth's rotation of a plane flying 600 mph due north over the location of latitude (37˚13'04"N), longitude (121˚50'39"W), at an elevation of 80 meters above mean sea level.

Homework Equations


aCor = 2Ω × vxy

The Attempt at a Solution


n/a
 

Answers and Replies

  • #2
FactChecker
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On homework problems, you will have to show some work to get help. What values or calculations can you give for ##\Omega## and ##v_{xy}##?
 
  • #3
On homework problems, you will have to show some work to get help. What values or calculations can you give for ##\Omega## and ##v_{xy}##?
##\Omega## = earth's rotation=0.0000727
##v_{xy}## = 268.22 m/s
 
  • #4
FactChecker
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##\Omega## = earth's rotation=0.0000727
##v_{xy}## = 268.22 m/s
Sorry, these are vectors. I should have used a notation that made that clear. The better representation is
##\vec a_{Cor} = 2\vec \Omega \times \vec v##
(I'm not sure right now what your xy subscript is for)
 
  • #5
jbriggs444
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##\Omega## = earth's rotation=0.0000727
When using three significant figures, the relevant rotation rate in radians per second would relate to the sidereal day, not to the solar day.

[Though it is not clear that the "600 mph" parameter is good to three significant figures]
 

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