I was first introduced to this problem years ago and it's a favorite. it seems at first that .955 feet is way to high and it seems baffling that the answer is the same whether for a 4,000 mile radius, a 1 foot radius, or a 1/4 inch radius. So I thought about this for a long time and I finally realized the proportions of the circumferences to the radii are identical. So using a little rounding: 6 ft/25,000miles : .955 ft/4,000 miles and 6ft/6.28ft : .955ft/1ft. I don't know that I stated this perfectly, but hopefully you get the idea. When thinking of it proportionately, it makes sense. It's a long way to the center of the earth.
Assuming the length of the belt was great enough, could I stretch it out through space to the Andromeda Galaxy and shake my end from Earth, sending a Morse code message instantaneously, thus sending information faster than the speed of light?
energy of motion travels at the speed of light. So, if you had a belt that was, say, 3 light years long, shaking it on one end would take 3 years for that motion to reach the other end.
@@pyromancer5284 what he is talking about is a vibration, which is the speed of sound (330m/s in the air but it differs in different mediums such as a solid). It's like if you ever held a long rope or hose and started swinging it, you would realise that it wouldn't all move at the same time, but rather travel in a kind of wave.
I have seen this "proof" before (including Wikipedia and other sites that are copying this "proof"). I believe this flaw has been perpetuated by people because it makes them look smart, but I believe there is a flaw in your thinking. BTW: We do know the radius of the Earth (average 3,959 miles). Note that adding C + 6 does not make sense in your equations because it should be converted to an actual unit of measurement, not just "R". You cannot cancel out the "R" the way you did it. If you convert R1 to feet and then calculate r2 = R1 + (height), you will see the difference. The concept that R is irrelevant to the solution doesn't make any sense. Instead of trying to cancel out the R values, replace them with "feet" and you will get a more reasonable answer.
I didn't make this video because it makes me "look smart". I made it because I find it interesting and I wanted to share. The proof is not a complicated one. It's simple geometry and algebra. I'm sorry you couldn't follow along. Perhaps this channel is not for you, and that's okay. Thanks for watching anyways.
Sorry to state it in that way and I didn't mean any insult. Also, I COULD follow along and found that there is a fundamental problem with the logic - no unit of measurement is ever given. Please, please, please, try doing the math using miles converted into feet instead of using your equation and cancelling out the R value. You will get a different answer. BTW: I am a math major and have even used ChatGpt to present the problem and got a different answer. I really want to know where everyone gets the idea that R does not make any difference. Think about using a basketball vs. using the sun. It just doesn't make logical sense that the radius has no effect on the answer. I appreciated the work you put into the video, but the final conclusion is, in my opinion, incorrect. If your theory and math is sound, you shouldn't have a problem with doing the math. In your example, the R value is actually radians, which is why you always get the same answer. If you use a "real" measurement, you will see that your answer WILL (and MUST) vary depending on the radius.
I was first introduced to this problem years ago and it's a favorite. it seems at first that .955 feet is way to high and it seems baffling that the answer is the same whether for a 4,000 mile radius, a 1 foot radius, or a 1/4 inch radius. So I thought about this for a long time and I finally realized the proportions of the circumferences to the radii are identical. So using a little rounding: 6 ft/25,000miles : .955 ft/4,000 miles and 6ft/6.28ft : .955ft/1ft. I don't know that I stated this perfectly, but hopefully you get the idea. When thinking of it proportionately, it makes sense. It's a long way to the center of the earth.
Nice video.
It's not a paradox, it's just non intuitive.
paradox: a seemingly absurd or self-contradictory statement or proposition that when investigated or explained may prove to be well founded or true
It's a veridical paradox.
Did the nasa use euler method to go to the moon.
Interesting video. I have more questions than answers now but I guess that’s what makes it a paradox.
That s interesting. Thanks.💚
wow really cannot descripe your talent
Thank you so much 😃
Assuming the length of the belt was great enough, could I stretch it out through space to the Andromeda Galaxy and shake my end from Earth, sending a Morse code message instantaneously, thus sending information faster than the speed of light?
🤔
energy of motion travels at the speed of light. So, if you had a belt that was, say, 3 light years long, shaking it on one end would take 3 years for that motion to reach the other end.
Really, the energy would travel at roughly the speed of sound in that medium.
Certainly you've shaken a piece of rope before and have seen the ripple move. It has a finite speed.
@@pyromancer5284 what he is talking about is a vibration, which is the speed of sound (330m/s in the air but it differs in different mediums such as a solid). It's like if you ever held a long rope or hose and started swinging it, you would realise that it wouldn't all move at the same time, but rather travel in a kind of wave.
I have seen this "proof" before (including Wikipedia and other sites that are copying this "proof"). I believe this flaw has been perpetuated by people because it makes them look smart, but I believe there is a flaw in your thinking.
BTW: We do know the radius of the Earth (average 3,959 miles). Note that adding C + 6 does not make sense in your equations because it should be converted to an actual unit of measurement, not just "R". You cannot cancel out the "R" the way you did it.
If you convert R1 to feet and then calculate r2 = R1 + (height), you will see the difference. The concept that R is irrelevant to the solution doesn't make any sense. Instead of trying to cancel out the R values, replace them with "feet" and you will get a more reasonable answer.
I didn't make this video because it makes me "look smart". I made it because I find it interesting and I wanted to share. The proof is not a complicated one. It's simple geometry and algebra. I'm sorry you couldn't follow along. Perhaps this channel is not for you, and that's okay. Thanks for watching anyways.
Sorry to state it in that way and I didn't mean any insult. Also, I COULD follow along and found that there is a fundamental problem with the logic - no unit of measurement is ever given. Please, please, please, try doing the math using miles converted into feet instead of using your equation and cancelling out the R value. You will get a different answer. BTW: I am a math major and have even used ChatGpt to present the problem and got a different answer. I really want to know where everyone gets the idea that R does not make any difference. Think about using a basketball vs. using the sun. It just doesn't make logical sense that the radius has no effect on the answer. I appreciated the work you put into the video, but the final conclusion is, in my opinion, incorrect. If your theory and math is sound, you shouldn't have a problem with doing the math. In your example, the R value is actually radians, which is why you always get the same answer. If you use a "real" measurement, you will see that your answer WILL (and MUST) vary depending on the radius.