document.write( "Question 831561: the mean distance of the moon from earth is 2.39 x 10^5 miles. assuming that the orbit of the moon around earth is circular and that 1 revolution takes 27.3 days, find the linear speed of the moon. express your answer in mies per hour \n" ); document.write( "

Algebra.Com's Answer #501474 by hovuquocan1997(83) $\"\"$ $\"About$

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This one sounds complicated haha.
\n" ); document.write( "Ok first thing, they say that the orbit of he moon around earth is circular, that means the moon will create a circle around the earth while it moves. Let's imagine the earth is a center of that circle. Then the distance of the moon from earth would be the radius of the circle, meaning 2.39*10^5 miles will be the radius.
\n" ); document.write( "Now we need to find how many miles the moon needs to go to make a whole circle, that means the perimeter of the circle.
\n" ); document.write( "C=2*pi*radius = 2*3.14*2.39*10^5 = 1500920 (this is approximately, because pi is not exactly 3.14, but you can still use this)
\n" ); document.write( "So the moon travels 1500920 miles and make a revolution in 27.3 days(given in the question)
\n" ); document.write( "The speed will be 1500920miles/27.3days
\n" ); document.write( "27.3 days = 655.2 hours (1 day has 24 hours, just take 27.3 * 24)
\n" ); document.write( "so you take 1500920 and then divide it by 655.2, you get 2290.781441
\n" ); document.write( "TA-DAH
\n" ); document.write( "The speed of the moon is approximately 2290.781 miles per hour :D \n" ); document.write( "

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