Thanks for the replies, but i am still waiting for my answer.
Now that could be totally on me and my invalid ways of expressing me.
From the start of the topic i can understand the differences be angular velocity and linear velocity, that was and is not the point.
I want to know how i can test it in a scale model as i have shown in a previous post.
What i don't understand is how this could work in your model.
the moon's umbra moves from west to east.
After 6 hours (moon's umbra generous duration due to it's slightly oval path ?)
6 x 0.55° = 3.3° moon's completed part of it's orbit
6 x 15° = 90° earth's completed part of it's orbit
So when i start in my model globe-moon-sun set up.....(earth 30cm diameter , moon 9,5m away, and 60m orbit around the miniature globe, sun 3.5km away)
The moon's umbra is pointed towards the pacific.
After 6 hours the earth has made a 90° turn.
The moon has moved 3.3° from it's orbit.
In my garden set up i would have to turn the globe and the pacific ocean is now placed 90° counterclockwise. (23,5 cm)
The moon would have been 55 cm further on it's 60m orbit (2,33 times faster)
what do i have to do to make sure the umbra is ahead of earth's spin after 6 hours (or insert the corrected lenght of the duration of the eclips when needed)
6 hours is reasonably close to the duration of the eclipse. First penumbral contact is 15:46:51 UT and last is 21:04:23 UT, so it's 5h 17m 32s long.
Because when i see the scale model and the sun 3.5 km away and the movent at the beginning and the end of the eclipse in my garden model there is no way at all that the moon's umbra can travel west to east.
Please an answer in relation to my garden model !!!!!!!!!!!!!!!!!!!!!!!!!
And please not a ''highschool related answer please''

How does my garden set up look like at the beginning of the eclipse
We'll center a 6-hour simulation near mid-eclipse, which is 18:25:32 UT (call it 18:30 UT).
If we look at a globe from south of it, then west on the globe corresponds to west in cardinal direction in the real world, so, in an effort to reduce confusion, let's presume your model is set up like this, based on your numbers, which look reasonable:
Sun is 3.5 km due south of a 30-cm diameter earth globe. Moon starts 9.5m south of the center of the globe and 27.5 cm west of the line between the centers of the globe and sun. Presuming the globe has the 23.5° axis tilt, and north up, orient the axis of he globe so that it is leaning mostly west and a some south. To be completely accurate, the model moon should also be a few cm north of the globe-sun line, but let's not worry about that.
Start time is 15:30 UT. If we presume the sun is on the meridian at 0° longitude at exactly 12:00 UT (close enough), then 3.5 hours later, at the start of our simulation, the sun is on the meridian at 52.5° W longitude (15°/hr * 3.5 hr = 52.5°). So rotate the globe so that French Guyana's meridian (on the north coast of South America) is directly toward the model sun, due south.
Since the sun is so far away, the axis of the moon's shadow will be, for all practical purposes, parallel to the north-south line through the centers of the globe and model sun. As such, the center of the shadow falls 27.5 cm
west of the center of our 30-cm-diameter globe, passing nearest the Pacific Ocean.
Good so far?
Three hours later, at the time of greatest eclipse, move the moon 27.5 cm east so that it's due south of the earth and directly in line with the sun. Also rotate the globe 45° eastward so that 97.5° W longitude (off the west coast of westernmost Guatemala) is directly in line with the sun. In the time the earth was rotating 45° from west to east (French Guyana, close to the equator, has rotated about 12 cm - half of the 23.5 cm you gave above for 6 hours - from west to east), the center of the shadow has moved 27.5 cm from west to east. Clearly, the shadow is moving to the east faster than locations on the surface of the earth are rotating in that direction, so the shadow moves across the surface from west to east.
Still good?
How does my set up look like after 6 hours.
At 21:30 UT, the moon has moved another 27.5 cm toward the east and the globe has rotated another 45° toward the east, so that longitude 142.5° W (somewhere out in the eastern Pacific) is facing the sun, and the moon's shadow is 27.5 cm east of the globe, passing nearest the central Atlantic Ocean, after having moved from west to east across the face of the globe.
Explaining so that everyone understands it is the real task.
So please explain my scale set up, at the beginning and the end of the eclipse !!
You're right that explaining sometimes counterintuitive stuff like this in an understandable way can be a challenge.
In recap, at your model's scale, the center of the shadow started west of the earth, traveled 55 cm from west to east across the globe, and ended east of the earth in the simulated 6 hours. In that time, the earth rotated 23.5 cm, also from west to east. Since the shadow was moving eastward at about twice the speed as points on the surface of the globe, the shadow moved across the face of the globe from west to east.