how many tons of coals is remove from the earth each day and each year?

Answer 1

For the US you can get the answer by quarter (3 months) from the Dept of Energy
http://www.eia.doe.gov/cneaf/coal/quarterly/html/t4p01p1.html
from there you can add 4 quarters for a year, or estimate a week.
for 2006 it was 1,161,444,000 'short tons' (2000 pounds, not a metric ton)
and here is some world data, but not as comprehensive...
http://www.eia.doe.gov/emeu/iea/coal.html

Answer 2

A lot.

This site is a little outdated, but
http://smtc.uwyo.edu/coal/WyomingCoal/mines.asp

And that's just from the powder river basin.
according to that site, 1,011,985,220 tons of coal were removed in 2000.