Vsauce2 | Ant On A Rubber Rope Paradox @Vsauce2 | Uploaded 5 years ago | Updated 8 hours ago
An ant is placed on one end of a rubber rope and he begins walking at about 5cm per second. As he’s walking, the rope gets stretched… and stretched… at a rate of 10cm per second. The rope is getting stretched faster and longer relative to the ant’s consistent walking pace.
Can the ant ever get to the end of the rope? Is he caught in an endless, impossible trek in which the end keeps getting further and further away?
This classic paradox has very real implications to how we understand our position in a rapidly-expanding universe.
*********** LINKS *************
The Create Unknown Podcast: bit.ly/2TKVDdc
What Is A Paradox?: youtu.be/kJzSzGbfc0k
Ant On A Rubber Rope Discussion:
bit.ly/2DYQ7it
Harmonic Series Proof on Khan Academy
khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-10-6/v/harmonic-series-divergent
Harmonic Series Proofs
http://scipp.ucsc.edu/~haber/archives/physics116A10/harmapa.pdf
Harmonic Series Proof
https://web.williams.edu/Mathematics/lg5/harmonic.pdf
***********
Written by Matthew Tabor, Michael Stevens and Kevin Lieber
Huge Thanks To Paula Lieber
etsy.com/shop/Craftality
Get Vsauce's favorite science and math toys delivered to your door!
curiositybox.com
Twitter: twitter.com/VsauceTwo
Facebook: facebook.com/VsauceTwo
Hosted, Produced, And Edited by Kevin Lieber
Instagram: http://instagram.com/kevlieber
Twitter: twitter.com/kevinlieber
Website: http://kevinlieber.com
Research And Writing by Matthew Tabor
twitter.com/matthewktabor
Special Thanks Michael Stevens
youtube.com/user/Vsauce
VFX By Eric Langlay
youtube.com/c/ericlanglay
Select Music By Jake Chudnow: http://www.youtube.com/user/JakeChudnow
MY PODCAST -- THE CREATE UNKNOWN
youtube.com/thecreateunknown
An ant is placed on one end of a rubber rope and he begins walking at about 5cm per second. As he’s walking, the rope gets stretched… and stretched… at a rate of 10cm per second. The rope is getting stretched faster and longer relative to the ant’s consistent walking pace.
Can the ant ever get to the end of the rope? Is he caught in an endless, impossible trek in which the end keeps getting further and further away?
This classic paradox has very real implications to how we understand our position in a rapidly-expanding universe.
*********** LINKS *************
The Create Unknown Podcast: bit.ly/2TKVDdc
What Is A Paradox?: youtu.be/kJzSzGbfc0k
Ant On A Rubber Rope Discussion:
bit.ly/2DYQ7it
Harmonic Series Proof on Khan Academy
khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-10-6/v/harmonic-series-divergent
Harmonic Series Proofs
http://scipp.ucsc.edu/~haber/archives/physics116A10/harmapa.pdf
Harmonic Series Proof
https://web.williams.edu/Mathematics/lg5/harmonic.pdf
***********
Written by Matthew Tabor, Michael Stevens and Kevin Lieber
Huge Thanks To Paula Lieber
etsy.com/shop/Craftality
Get Vsauce's favorite science and math toys delivered to your door!
curiositybox.com
Twitter: twitter.com/VsauceTwo
Facebook: facebook.com/VsauceTwo
Hosted, Produced, And Edited by Kevin Lieber
Instagram: http://instagram.com/kevlieber
Twitter: twitter.com/kevinlieber
Website: http://kevinlieber.com
Research And Writing by Matthew Tabor
twitter.com/matthewktabor
Special Thanks Michael Stevens
youtube.com/user/Vsauce
VFX By Eric Langlay
youtube.com/c/ericlanglay
Select Music By Jake Chudnow: http://www.youtube.com/user/JakeChudnow
MY PODCAST -- THE CREATE UNKNOWN
youtube.com/thecreateunknown