tag:blogger.com,1999:blog-15628310.post7228125530087434369..comments2021-04-15T02:41:46.574-04:00Comments on Question of the day: Moon CableAnonymoushttp://www.blogger.com/profile/18153935609499338685noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-15628310.post-86691257813578600972011-06-23T13:54:22.334-04:002011-06-23T13:54:22.334-04:00The circumference of a circle is 2πr. To make the...The circumference of a circle is 2π<i>r</i>. To make the circumference a meter shorter, subtract one: 2π<i>r</i> - 1. To get the circumference formula again, subtract 1 in the form of 2π/2π and factor out a 2π to get 2π(<i>r</i> - 1/2π). The trench has to be 1/2π m (about 0.16 m or half a foot) deep.<br /><br />To find out how far north to move, construct a right triangle with hypotenuse <i>r</i>, long leg <i>r</i> - 1/2π, and short leg <i>y</i>, the amount north to move. Appeal to Pythagoras' theorem to find that <i>y</i> is √(<i>r</i>/π - (1/2π)²). The moon's radius is about 1700 km, a third of that is about 600, and the square root of that is about 24 m, about 79 feet.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-15628310.post-24112382466808390632011-06-22T06:11:43.011-04:002011-06-22T06:11:43.011-04:00The groove needs to be 0.16 m deep. Since it's...The groove needs to be 0.16 m deep. Since it's to expensive to dig such a long groove the cable should be laid 42616 meters north or south of the equator.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-15628310.post-38689659817673521822011-06-22T05:56:18.954-04:002011-06-22T05:56:18.954-04:00Is it 7/44th of a metre.Is it 7/44th of a metre.Forsakenhttps://www.blogger.com/profile/18178105962518995033noreply@blogger.com