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The point of the question is unclear.
I'll treat it as if it's asking for the speed of different points on earth, as the earth rotates daily.

The time doesn't matter. Only the location on earth.


The earth's diameter at the equator is 7,926 miles.
The circumference there is [ 7,926 pi ] = 24,900 miles.
The earth's rotation period is 23hrs 56min 4sec = 23.93444 hours.

The speed of a point on the equator is (7,926 pi) / (23.93444) = 1,040.35 miles per hour.

Anywhere else not on the equator, multiply that number by the cosine of the latitude.

Examples:

Latitude / Speed

zero degrees / 1,040.35 miles per hour
15 degrees / 1,004.9
30 degrees / 900.97
45 degrees / 735.6

60 degrees / 520.2
75 degrees / 269.3
90 degrees / zero

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Q: Rotation differences at time and location?
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