Waste less time on Facebook — follow Brilliant.
×

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
4 years, 6 months ago

No vote yet
2 votes

Comments

Sort by:

Top Newest

\(\Delta L=2 \pi \Delta r\), 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 - 4 years, 6 months ago

Log in to reply

what ans. u got?

Bhargav Das - 4 years, 6 months ago

Log in to reply

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 - 4 years, 6 months ago

Log in to reply

@Adam Silvernail @Adam,correct

Bhargav Das - 4 years, 6 months ago

Log in to reply

1/2 pie

Superman Son - 4 years, 6 months ago

Log in to reply

@Superman Son @Leo,correct.

Bhargav Das - 4 years, 6 months ago

Log in to reply

1/2 pie

Poala Anne - 3 years, 4 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...