Rotation at 1000mph is different that a straight line. If you got up to 1000mph in a car, and turned even slightly (rotation of the earth)...you would feel it, and perhaps spill your coffee if it was too full.
They say the air / atmosphere is locked to the earths rotation due to gravity. Which is why you don't see the ground move below you when you are hovering in a helicopter.
I still see no reason why gravity from the moon can affect the tides, but not affect air.
Helicopter hovering is not "stationary" with respect to a point on the ground - the pilot has to control the movement to keep the helicopter stationary, not just because of the rotation but because of winds.
Because of the atmosphere and winds there are no real experiments that can be done to test rotation.
Here's a thought experiment for tides and air:
consider a pool table with all of the pool balls magnetic and the bumpers also slightly magnetic.
for water, one side of the pool table is jam packed with pool balls, and the other side is empty. This represents water having to live in the ocean.
now take a magnet and put it at end of the 'air' side of the pool table. Each pool ball feels the magnet, just a little bit, and wants to move upwards, with the bottom ones pushing those above it a little closer, and each row pushing the one on top of it a bit more.
Over the course of a few hours, the topmost balls will have moved closer because they want to get closer, but also the other balls have pushed them.
Now for air, take away most of the balls, leaving say 20 on the table, and also, start them bouncing around.
The motion of the balls is the kinetic energy of the air. Temperature is defined scientifically as the "average random molecular kinetic energy of a substance." What that means is air is bouncing all around - giving it kinetic energy, and the particles hit each other and go faster or slower or stop, but on average, all the balls have a constant speed.
Now put that magnet at one end of the table. Do the balls change their behavior? No. Because the magnetic force is very weak, and their velocities outstrip the magnetic force by a huge amount. Huge!
So the air see the force, and as a whole might not hit the far end of the table as often, but their velocity/kinetic energy overrides all of the magnetic force.
Why doesn't water bounce around? because liquids have energy due to vibrations and rotations, not kinetic energy like bouncing balls do. So the entire liquid feels the force and with no bouncing, that magnetic force can slowly build up a displacement.
But the ocean has a huge amount of kinetic energy as well. How come that doesn't override the moon's gravity?
What is the kinetic energy of the ocean?
It's pretty small. Most of the ocean movement is caused by wind and the tide.
To calculate the kinetic energy of a tide, pick a mass - say a million tons (it doesn't matter, we are dividing it out anyway) and then give it a velocity. One large tide is 15 feet, and that takes about 6 hours to go high to low, so that is 2.5feet per hour, and even if you went 1 meter per hour, that is .00027 meters per second.
now square that - KE = 1/2 mass*velocity2
and if you look at it on a 'per mass' basis, by dividing out the mass, the kinetic energy is very very tiny.
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