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.

#Logic

Easy Math Editor

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Comments

$\Delta L=2 \pi \Delta r$ , 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?

Adam Silvernail - 8 years, 2 months ago

what ans. u got?

Bhargav Das - 8 years, 2 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.

Adam Silvernail - 8 years, 2 months ago

@Adam Silvernail – @Adam,correct

Bhargav Das - 8 years, 2 months ago

1/2 pie

superman son - 8 years, 2 months ago

@Superman Son – @Leo,correct.

Bhargav Das - 8 years, 2 months ago

1/2 pie

poala anne - 7 years ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$