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For rotation: The circumference of the earth is approximately 40041.47km, and this distance is covered in exactly 86400 seconds (the number of seconds in a day). Therefore, the earth turns at around .46344km in a second, or 1668.39km/h (or 1036.69mph).

For revolution around the sun: The earth orbit's radius is 1AU or 150000000km. Multiplying by 2*PI gives us a circumference of around 942477796km. This distance is covered in 365.24 days, or 31556736 seconds. So the earth revolves at a speed of 29.87km/s or 107518km/h (or 66808.59mph).

Check links for a source for the above.

[Footnote: the 24 hour rotation is the synodic (relative to the sun) rotation of the earth. In fact, the earth completes one absolute sidereal rotation in slightly less time: 23 hours 56 minutes and 4 seconds, so relative to the fixed stars, the earth is rotating slightly faster than the figure given above.]

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