- #1

akennedy

- 12

- 0

## Homework Statement

http://puu.sh/7vC46.png

http://puu.sh/7vBG5.png

Note: In this image the ohm symbol represents the angular frequency of the Earth's rotation

## Homework Equations

Gamma = 1/SQRT(1-v^2/c^2)

V (relative to centre of earth) = angular frequency(R+h) +/- v

v= plane velocity dependent on direction

R= radius of earth

h= height plane is flying

## The Attempt at a Solution

The first part about showing it isn't dependent was easy and I just did some basic algebra. However, the second part is problematic.I can't seem to get to the equation it's asking for using the 2 tricks suggested. I think possibly because I'm using the wrong velocities when putting in Gamma(earth) and Gamma(plane)

The velocities I used were

V(plane) = Angular frequency*(R+h)+/-v

V(Earth) = Angular frequency*(R+h)

I put those into the gamma formula and went from there. I think I might be using the wrong velocities and have mucked up the inertial frames or something.

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