Discussions
Rope Around the World - part 2
Posted by urikalish • 1/19/08 • Subscribe to this Discussion [RSS] • Report This Topic
Topics: math
I bought a very long rope and tied it tightly around the earth’s equator so there’s no gap at all between the rope and the earth (~40,000 kilometers of rope).
Now, I want to lift the rope evenly all around the earth to get a unified gap of 1 meter between the earth and the rope.
How much more rope I'm going to need?
p.s. If you don't know how to calculate this, take a guess and post your estimate.
User Comments
-
-
-
How much more rope I'm going to need?
1. 1m - 10m
2. 10m -100m
3. 100m - 1km
4. 1km - 10km
5. 10km - 100km
6. 100km - 1,000km
7. 1,000km - 10,000km
-
Damn you Uri! I thought I had bought myself a little more time than that. Well, I'll just run along, but see if anything occurs to me. I'm too lazy to do the math after a day of teaching.
For anyone else, Yuri did the math for a similar problem here:
www.blogcatalog.com/discuss/entry/rope-around-the-world
-
OK, here goes...
x = Additional rope needed
r = Earth radius in meters
old rope length = 2πr
new rope length = 2π(r+1)
x = 2π(r+1) - 2πr
x = 2π(r+1 - r)
x = 2π
Additional rope needed to raise the rope 1 meter in the air all around the earth: 6.3 meters.-
Maybe the popular science group is a better place for this thread...
www.blogcatalog.com/group/popular-science
-
Add Your Comment
Login to leave a message.






