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Posted: 5/13/2022 8:10:31 PM EDT
….pull it tight, and then add 3 feet to the length of the rope, how high above the earth, equally suspended, would the new rope be?
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Quoted: ….pull it tight, and then add 3 feet to the length of the rope, how high above the earth, equally suspended, would the new rope be? View Quote zero inches, but very slightly less stretched. |
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There are very closely 10,000,000 meters from the North Pole to the equator through Paris. So that's roughly 40,000,000 meters all around. We'll say that 3 feet is a meter, so we'll add one meter.
C = 2pr r = C/2p r1 = 40,000,000 / 2p = 6366197.72368 meters r2 = 40,000,001 / 2p = 6366197.88283 meters Uh...that doesn't make any sense... How can adding one meter of length add more than a decimeter to the radius? |
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I'm too dumb for this
Quoted: There are very closely 10,000,000 meters from the North Pole to the equator through Paris. So that's roughly 40,000,000 meters all around. We'll say that 3 feet is a meter, so we'll add one meter. C = 2pr r = C/2p r1 = 40,000,000 / 2p = 6366197.72368 meters r2 = 40,000,001 / 2p = 6366197.88283 meters Uh...that doesn't make any sense... How can adding one meter of length add more than a decimeter to the radius? View Quote Cool now do it in actual units of measurement. |
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Quoted: There are very closely 10,000,000 meters from the North Pole to the equator through Paris. So that's roughly 40,000,000 meters all around. We'll say that 3 feet is a meter, so we'll add one meter. C = 2pr r = C/2p r1 = 40,000,000 / 2p = 6366197.72368 meters r2 = 40,000,001 / 2p = 6366197.88283 meters Uh...that doesn't make any sense... How can adding one meter of length add more than a decimeter to the radius? View Quote 41,804,003/41,804,000. Don’t bring meters into this shit |
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Quoted: There are very closely 10,000,000 meters from the North Pole to the equator through Paris. So that's roughly 40,000,000 meters all around. We'll say that 3 feet is a meter, so we'll add one meter. C = 2r r = C/2 r1 = 40,000,000 / 2 = 6366197.72368 meters r2 = 40,000,001 / 2 = 6366197.88283 meters Uh...that doesn't make any sense... How can adding one meter of length add more than a decimeter to the radius? View Quote |
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Uh lets see. There's two cups in a pint, and there's uh, lets see.
Hang on a minute this might take me awhile. |
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Quoted: ….pull it tight, and then add 3 feet to the length of the rope, how high above the earth, equally suspended, would the new rope be? View Quote The same distance as if you did the exact same thing with your belt. |
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Quoted: There are very closely 10,000,000 meters from the North Pole to the equator through Paris. So that's roughly 40,000,000 meters all around. We'll say that 3 feet is a meter, so we'll add one meter. C = 2pr r = C/2p r1 = 40,000,000 / 2p = 6366197.72368 meters r2 = 40,000,001 / 2p = 6366197.88283 meters Uh...that doesn't make any sense... How can adding one meter of length add more than a decimeter to the radius? View Quote You’re solving for radius - shouldn’t you be solving for diameter since it’s supposed to be equally spaced? Or not? Where are the magnets? |
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Lameass gotcha question is gotcha
This ball of rock we live on is not a perfect sphere. OP can't comprehend that gravity varies with location, let alone a fucking tape measure. |
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Holy crap people.
This is 5th grade math. Answer is 3'/(2pi), so basically 5.75". Circumference is D x pi. It's linear. So we don't need to know C or D to calculate incrementatity. For the equation to hold true, if you add 36" to circumference, you must add 36"/pi to diameter. That means the diameter of this imaginary rope circle is 11.5" larger. Since it's equally suspended, that would mean the 11.5" is split in 2, since the antipode would also have 5.75" of air between earth and rope. |
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As others have proven, just shy of half a foot, if the elasticity of the rope is ignored. However, the logistics of it make this a practical impossibility, not to mention a trip hazard.
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I read all those answers and still don’t understand. I guess I wouldn’t have passed the MCAT after all. Maybe law school really was a good decision.
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The answer is 0 since the part of the rope that goes thru the hood would be cut and attached to a stolen car and the whole thing would be pulled out of place.
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Since it would mean from above it could there could be many correct answers. The rope was also tight before the addition of 3' so who knows.
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Quoted: Lameass gotcha question is gotcha This ball of rock we live on is not a perfect sphere. OP can't comprehend that gravity varies with location, let alone a fucking tape measure. View Quote It's not a gotcha question. It is a question to find out how you think. Do you guestimate based on scale and gut feeling. Or do you slap the simple math on the problem and come up with the basic and correct answer. It's one of my favorite "riddles", because I got it wrong, initially, even though I deal with math and geometry every day. My logical self said, "Well, you're only adding a very small amount of rope, percentage wise, so the rise would be infinitesimal. As others point out, the rise would be identical to the rise if you added 3 feet to your belt. Roughly 6 inches. Because of pi and geometry which is an awesome thing. |
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Quoted: zero inches, but very slightly less stretched. View Quote View All Quotes View All Quotes Quoted: Quoted: ….pull it tight, and then add 3 feet to the length of the rope, how high above the earth, equally suspended, would the new rope be? zero inches, but very slightly less stretched. Exactly. I'd call it "barely measurable". |
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Quoted: Exactly. I'd call it "barely measurable". View Quote View All Quotes View All Quotes Quoted: Quoted: Quoted: ….pull it tight, and then add 3 feet to the length of the rope, how high above the earth, equally suspended, would the new rope be? zero inches, but very slightly less stretched. Exactly. I'd call it "barely measurable". You would think so, wouldn't you? But, no. OP should have eliminated the physical reality of the thought experiment by discounting any actual elasticity of the rope, assume perfect roundness of the Earth, etc. Assume normal laws of geometry such as the definitions of radius, circumference, etc. |
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Trick question. We all know the Earth is flat. Not today mister science man.
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Not enough information. What type of material is it made of, stretch potential?
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It would still be on the ground because gravity would keep it there.
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