Mixing
Curvilinear abscissa = radius * angle - Circular motion
0
$begingroup$
I would like to understand why:
$$ s(t) = r , theta(t) $$
where $s$ is the curvilinear abscissa, $r$ the radius and $theta$ the angle in circular motion.
Thank you for your time.
physics education angle curvilinear-coordinates
asked Jan 9 at 9:26
Gennaro ArguzziGennaro Arguzzi
336314
$endgroup$
add a comment |
0
$begingroup$
I would like to understand why:
$$ s(t) = r , theta(t) $$
where $s$ is the curvilinear abscissa, $r$ the radius and $theta$ the angle in circular motion.
Thank you for your time.
physics education angle curvilinear-coordinates
asked Jan 9 at 9:26
Gennaro ArguzziGennaro Arguzzi
336314
$endgroup$
$begingroup$
It is just how the planar angle $theta$ is defined and measured. It is the ratio of the arc-length to the radius of a circle.
$endgroup$
– Shubham Johri
Jan 9 at 10:05
$begingroup$
Hello @ShubhamJohri can you post any link where I can find this definition please?
$endgroup$
– Gennaro Arguzzi
Jan 9 at 10:07
1
$begingroup$
Look at the 'Radians and Arc Length' section here
$endgroup$
– Shubham Johri
Jan 9 at 10:13
$begingroup$
Thank you so much @ShubhamJohri.
$endgroup$
– Gennaro Arguzzi
Jan 9 at 11:07
add a comment |
0
0
0
$begingroup$
I would like to understand why:
$$ s(t) = r , theta(t) $$
where $s$ is the curvilinear abscissa, $r$ the radius and $theta$ the angle in circular motion.
Thank you for your time.
physics education angle curvilinear-coordinates
asked Jan 9 at 9:26
Gennaro ArguzziGennaro Arguzzi
336314
$endgroup$
I would like to understand why:
$$ s(t) = r , theta(t) $$
where $s$ is the curvilinear abscissa, $r$ the radius and $theta$ the angle in circular motion.
Thank you for your time.
physics education angle curvilinear-coordinates
physics education angle curvilinear-coordinates
asked Jan 9 at 9:26
Gennaro ArguzziGennaro Arguzzi
336314
asked Jan 9 at 9:26
Gennaro ArguzziGennaro Arguzzi
336314
asked Jan 9 at 9:26
Gennaro ArguzziGennaro Arguzzi
336314
asked Jan 9 at 9:26
Gennaro ArguzziGennaro Arguzzi
336314
asked Jan 9 at 9:26
Gennaro ArguzziGennaro Arguzzi
336314
336314
$begingroup$
It is just how the planar angle $theta$ is defined and measured. It is the ratio of the arc-length to the radius of a circle.
$endgroup$
– Shubham Johri
Jan 9 at 10:05
$begingroup$
Hello @ShubhamJohri can you post any link where I can find this definition please?
$endgroup$
– Gennaro Arguzzi
Jan 9 at 10:07
1
$begingroup$
Look at the 'Radians and Arc Length' section here
$endgroup$
– Shubham Johri
Jan 9 at 10:13
$begingroup$
Thank you so much @ShubhamJohri.
$endgroup$
– Gennaro Arguzzi
Jan 9 at 11:07
add a comment |
$begingroup$
It is just how the planar angle $theta$ is defined and measured. It is the ratio of the arc-length to the radius of a circle.
$endgroup$
– Shubham Johri
Jan 9 at 10:05
$begingroup$
Hello @ShubhamJohri can you post any link where I can find this definition please?
$endgroup$
– Gennaro Arguzzi
Jan 9 at 10:07
1
$begingroup$
Look at the 'Radians and Arc Length' section here
$endgroup$
– Shubham Johri
Jan 9 at 10:13
$begingroup$
Thank you so much @ShubhamJohri.
$endgroup$
– Gennaro Arguzzi
Jan 9 at 11:07
$begingroup$
It is just how the planar angle $theta$ is defined and measured. It is the ratio of the arc-length to the radius of a circle.
$endgroup$
– Shubham Johri
Jan 9 at 10:05
$begingroup$
It is just how the planar angle $theta$ is defined and measured. It is the ratio of the arc-length to the radius of a circle.
$endgroup$
– Shubham Johri
Jan 9 at 10:05
$begingroup$
Hello @ShubhamJohri can you post any link where I can find this definition please?
$endgroup$
– Gennaro Arguzzi
Jan 9 at 10:07
$begingroup$
Hello @ShubhamJohri can you post any link where I can find this definition please?
$endgroup$
– Gennaro Arguzzi
Jan 9 at 10:07
1
1
$begingroup$
Look at the 'Radians and Arc Length' section here
$endgroup$
– Shubham Johri
Jan 9 at 10:13
$begingroup$
Look at the 'Radians and Arc Length' section here
$endgroup$
– Shubham Johri
Jan 9 at 10:13
$begingroup$
Thank you so much @ShubhamJohri.
$endgroup$
– Gennaro Arguzzi
Jan 9 at 11:07
$begingroup$
Thank you so much @ShubhamJohri.
$endgroup$
– Gennaro Arguzzi
Jan 9 at 11:07
add a comment |
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$begingroup$
It is just how the planar angle $theta$ is defined and measured. It is the ratio of the arc-length to the radius of a circle.
$endgroup$
– Shubham Johri
Jan 9 at 10:05
$begingroup$
Hello @ShubhamJohri can you post any link where I can find this definition please?
$endgroup$
– Gennaro Arguzzi
Jan 9 at 10:07
1
$begingroup$
Look at the 'Radians and Arc Length' section here
$endgroup$
– Shubham Johri
Jan 9 at 10:13
$begingroup$
Thank you so much @ShubhamJohri.
$endgroup$
– Gennaro Arguzzi
Jan 9 at 11:07