This is just for fun. Just to see who is good at math. The person who gets this right first will be awarded the 10 points.
How fast does the moon travel around earth?
a) The moon travels around the earth 13.1 times per year
b) The moon's circumference is 6,790 miles
c) The earth's circumference is 24,965 miles
d) The distance from earth to moon (surface) is 238,855 miles
Assume that the orbit is perfectly circular.
Speed needs to be calculated as MPH
2007-03-16 19:43:33 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Find the radius of the moon and the earth using c=2(pi)r.
Moon
6790 = 2(3.14)r ; 1081.2
Earth
24965 = 2(3.14)r ; 3975.3
middle of earth to middle of moon
r=238,855+3975.3+1081.2 ; 243911.5
circumference of the circle made by the moon around the earth
c=2(3.14)243911.5; 1531764.2
Miles per year
1531764.2*13.1; 20066111.28
Miles per hour
20066111.28 /(365*24); 2290.65Mph
Answer 2290.65Mph
Better check it since I am not.
2007-03-16 20:04:56 · answer #1 · answered by Ron H 6 · 1⤊ 0⤋
This is based on your given figures, an assumption of 365.25 days or 8,766 hours in a year, and distances rounded to the nearest integer.
If the moon's circumference is 6,790 miles then the diameter is 2,161 miles. If Earth's circumference is 24,965 miles then the diameter is 7,947 miles. If the surface distance between the two bodies is 238,855 miles then the distance between the centers of them is (2,161 + 7,947) / 2 + 238,855 or 243,909 miles. The diameter of the circular orbit would be twice this or 487,818 miles.
If the moon makes 13.1 trips around the earth each year then that is a distance of pi * 487,818 * 13.1 or 20,076,083 miles. Distance traveled divided by travel time will yield the relative speed at the centers, so 20,076,083 miles / 8,766 hours = 2,290 miles per hour.
Interestingly enough though, the near surface of the moon only travels around the earth at about 2,280 miles per hour and the far surface at about 2,300 miles per hour because of the different distances traveled. Weird, huh?
WK
2007-03-16 20:25:28 · answer #2 · answered by olin1963 6 · 1⤊ 0⤋
The moon makes on finished revolution in a time T. The orbital radius is a, assuming a round orbit. So the speed is the circumference of a circle of radius a, divided with assistance from the time T. v = 2*pi*a/T you are able to also do it from Newton's regulation F = GMm/a^2 = mv^2/a ---> v=sqrt(GM/a) the position G = 6.a million x 10^-11 Nt - m^2/kg^2 and M = mass of the earth.
2016-11-26 01:24:54 · answer #3 · answered by mosen 4 · 0⤊ 0⤋
it speed is 13.1 cicul around the earth
2007-03-16 20:48:58 · answer #4 · answered by live4hoping 2 · 0⤊ 1⤋
2,165 mph
2007-03-16 19:52:15 · answer #5 · answered by Anonymous · 1⤊ 0⤋