A single object with mass $m$ is rotating around an origin at a distance $r$ and speed of $v$; so its angular momentum is equal to $mrv$; if we decrease its radius (say shorten the rope) its speed doubles due to conservation of angular momentum. What I try to understand, intuitively, is what the radius has to do with this increase in speed.

For a more detailed description of what I mean, consider an example of linear momentum: an object with mass $m$ and speed of $v$ has linear momentum of $mv$. If it faces and sticks to another object with mass $m$ and speed of zero its speed decreases to half; hear it's easy to understand, intuitively, that why (the increased) mass decreases speed; but in case of angular momentum it's not easy to understand, intuitively, why for example an increase in radius of an object, decreases its speed.

A single object with mass $m$ is rotating around an origin at a distance $r$ and speed of $v$; so its angular momentum is equal to $mrv$; if we decrease its radius (say shorten the rope) its speed increases, due to conservation of angular momentum. What I try to understand, intuitively, is what the radius has to do with this increase in speed.

For a more detailed description of what I mean, consider an example of linear momentum: an object with mass $m$ and speed of $v$ has linear momentum of $mv$. If it faces and sticks to another object with mass $m$ and speed of zero its speed decreases to half; here it's easy to understand, intuitively, that why (the increased) mass decreases speed; but in case of angular momentum it's not easy to understand, intuitively, why for example an increase in radius of an object, decreases its speed.

A single object with mass $m$ is rotating around an origin with distant $r$ and speed of $v$; so its angular momentum is equal to $mrv$; if we decrease its radius (say shorten the rope) its speed doubles due to conservation of angular momentum; what I try to understand, intuitively, is what has the radius to do with this increase in speed.

for more description for what I mean, consider an example of linear momentum: an object with mass m and speed of v has linear momentum of mv, if it faces and sticks to another object with mass m and speed of zero its speed decreases to half; hear it's easy to understand, intuitively, that why (the increased) mass decreases speed; but in case of angular momentum it's not easy to understand, intuitively, why for example an increase in radius of an object, decreases its speed.

Anyone with an answer or a clue is highly appreciated.

A single object with mass $m$ is rotating around an origin at a distance $r$ and speed of $v$; so its angular momentum is equal to $mrv$; if we decrease its radius (say shorten the rope) its speed doubles due to conservation of angular momentum. What I try to understand, intuitively, is what the radius has to do with this increase in speed.

For a more detailed description of what I mean, consider an example of linear momentum: an object with mass $m$ and speed of $v$ has linear momentum of $mv$. If it faces and sticks to another object with mass $m$ and speed of zero its speed decreases to half; hear it's easy to understand, intuitively, that why (the increased) mass decreases speed; but in case of angular momentum it's not easy to understand, intuitively, why for example an increase in radius of an object, decreases its speed.

A single object with mass m is rotating around an origin with distant r and speed of v; so its angular momentum is equal to mrv; if we decrease its radius (say shorten the rope) its speed doubles due to conservation of angular momentum; what I try to understand, intuitively, is what has the radius to do with this increase in speed.

for more description for what I mean, consider an example of linear momentum: an object with mass m and speed of v has linear momentum of mv, if it faces and sticks to another object with mass m and speed of zero its speed decreases to half; hear it's easy to understand, intuitively, that why (the increased) mass decreases speed; but in case of angular momentum it's not easy to understand, intuitively, why for example an increase in radius of an object, decreases its speed.

Anyone with an answer or a clue is highly appreciated.

A single object with mass $m$ is rotating around an origin with distant $r$ and speed of $v$; so its angular momentum is equal to $mrv$; if we decrease its radius (say shorten the rope) its speed doubles due to conservation of angular momentum; what I try to understand, intuitively, is what has the radius to do with this increase in speed.

for more description for what I mean, consider an example of linear momentum: an object with mass m and speed of v has linear momentum of mv, if it faces and sticks to another object with mass m and speed of zero its speed decreases to half; hear it's easy to understand, intuitively, that why (the increased) mass decreases speed; but in case of angular momentum it's not easy to understand, intuitively, why for example an increase in radius of an object, decreases its speed.

Anyone with an answer or a clue is highly appreciated.