Quote:
Originally posted by LennonCook:
You'll find that you don't need it. If we let the earth's diameter be d, the circumpherence of the earth, and hence the original length, is:
C[1] = (pi)d
To get the rope 1 meter above the ground, we add 1 to the diamater on both sides of the circle - which, as you said, adds 2 to the diameter. So this diamater is (d + 2), making the new cirumpherence, and so the new length of the rope:
C[2] = (d + 2)pi
Making the difference in length:
C[2] - C[1] = (d + 2)pi - (pi)d = 2pi
Which is independant of the diamater.
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Wow, that's a lot of work to say:
C=2(pi)r+2 is 2(pi) more than C=2(pi)r.
What's with this wher one techer asks the qeustion and then another answers? Tag teeming today, boys? And, D1 & D2, you'll note that you're answers don't match up to well. Being off by too at just the third decimel place? That's not very acurate, now is it?
And, D1, try as you might, but I can always be infinately more acurate than you -- such is the natur of pie.