# High tower

## Main Question or Discussion Point

The earth rotates around its own axis within 24 hours. Theoretically, if at the equator perform a tower with a height - H, ignoring its effect on the slowdown of the Earth's rotation (we assume that the material of low density), objects and other complications, at a certain height, the linear velocities at the top of the tower would be very large compared to the stationary observer in relation to the axis of rotation of the Earth and was in the outer space at the height of the top. You can consider the view of the observers on the Earth on the equator and the one on the top of the tower, and in space next to the top of the tower passing him. You can increase the H value and try to calculate the linear velocity of the top of the tower relative to theoretical observer in space next to the top of the tower passing him.

The second thing can be if the tower is non-zero width along the meridian and its height would be theoretically 24 light hours, would it cover You some of the space view surrounding the equator by the width of the tower? Will You see the tower spreading from east to west? Would photones go from space be swept away by the tower if it did not reflect light? What would see the observer in space next to the top of the tower passing him? Will he see the meridian on the Earth?

You can also create a new questions, about it.
Thank You so much :)
and wish You Fascinating considerations :)

Related Special and General Relativity News on Phys.org
mfb
Mentor
and its height would be theoretically 24 light hours
That doesn't work. The tip cannot move faster than the speed of light. If you try to build 24 light hours / (2 pi) tall, no material will be able to hold the tower together. This is a fundamental limit.

Assuming a smaller tower:
Would photones go from space be swept away by the tower if it did not reflect light?
Sort of. The tower would appear bent.
Will he see the meridian on the Earth?
After sufficient time: Sure.

mfb said:
After sufficient time: Sure.
For theoretical 24 light hours tower height? I am not sure that the meridian will be seen from space (in the same plane and omiiting the phenomena of changing light trajectory, etc.) due to meeting the tower on the way of photons.
I do not have an unambiguous answer because there are phenomena typical of the speed of light near the speed.
Unless you meant the shorter tower, than it will be "less bright" maybe. :)

Ibix
You can't build a tower more than $24/2\pi\simeq 3.8$ light hours tall because its tip speed would exceed the speed of light and it must disintegrate at or before that point (a lot before, in practice). So what you'd see from a 24 light hour tall one isn't really possible to describe.