Another ribbon problem!

Suppose,you have a ribbon that can be tightly wrapped around the equatorial circumference of the earth. Now you increase its length by 1 metre. Now your job is to calculate how much high equally it can be raised all around the circumference of the earth.
I WANT THE EXACT ANSWER.BEST OF LUCK!!! CLUE: The answer is a surprising one.

Note by Bhargav Das
5 years, 3 months ago

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$$\Delta L=2 \pi \Delta r$$, where $$\Delta r$$ is the desired uniform increase in height and $$\Delta L$$ is the increase in ribbon length. This is the same equation to be used in the other ribbon problem.

I used to ponder this question while running around a racetrack, intrigued how the extra distance between tracks is independent of the radius of curvature. A better question is to ask, at what latitude relative to the equator will the height increase by 1 meter for a stretched ribbon at constant length?

- 5 years, 3 months ago

what ans. u got?

- 5 years, 3 months ago

Give me any planet or sphere in the universe and $$\Delta L = 1$$ m, and the height will be $$\Delta r = \frac {1} {2 \pi}$$ m.

- 5 years, 3 months ago

- 5 years, 3 months ago

1/2 pie

- 5 years, 3 months ago

@Leo,correct.

- 5 years, 3 months ago

1/2 pie

- 4 years, 1 month ago