How to know when a 360 rotation was performed around any given axis?












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If I have any given axis, e.g. $frac{1}{sqrt{2}}left[ begin{array}{ccc} 0 & -1 & 1 end{array} right]$ and a rotational speed of $omega = 1.5$ [deg/s] around that axis. How can I check that I performed a full 360 rotation around the axis using only the angle measurements?



I know I can use a velocity formula $omega = frac{theta}{delta_t}$ but in this case I need to check the rotation using the angle.






rotations angle







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  • 1




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    couldn't you just check whethre any point not on the axis is "back home"?
    $endgroup$
    – Hagen von Eitzen
    Jan 7 at 5:21










  • $begingroup$
    Your question is unclear. How to find if a rotation angle is 360 given the rotation angle? This is either trivial or something is not explained.
    $endgroup$
    – Paul Childs
    Jan 7 at 5:32










  • $begingroup$
    Why not just do 360/1.5? In other words - every 4 minutes.
    $endgroup$
    – Moti
    Jan 7 at 6:32


















0












$begingroup$


If I have any given axis, e.g. $frac{1}{sqrt{2}}left[ begin{array}{ccc} 0 & -1 & 1 end{array} right]$ and a rotational speed of $omega = 1.5$ [deg/s] around that axis. How can I check that I performed a full 360 rotation around the axis using only the angle measurements?



I know I can use a velocity formula $omega = frac{theta}{delta_t}$ but in this case I need to check the rotation using the angle.






rotations angle







share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    couldn't you just check whethre any point not on the axis is "back home"?
    $endgroup$
    – Hagen von Eitzen
    Jan 7 at 5:21










  • $begingroup$
    Your question is unclear. How to find if a rotation angle is 360 given the rotation angle? This is either trivial or something is not explained.
    $endgroup$
    – Paul Childs
    Jan 7 at 5:32










  • $begingroup$
    Why not just do 360/1.5? In other words - every 4 minutes.
    $endgroup$
    – Moti
    Jan 7 at 6:32
















0












0








0





$begingroup$


If I have any given axis, e.g. $frac{1}{sqrt{2}}left[ begin{array}{ccc} 0 & -1 & 1 end{array} right]$ and a rotational speed of $omega = 1.5$ [deg/s] around that axis. How can I check that I performed a full 360 rotation around the axis using only the angle measurements?



I know I can use a velocity formula $omega = frac{theta}{delta_t}$ but in this case I need to check the rotation using the angle.






rotations angle







share|cite|improve this question









$endgroup$




If I have any given axis, e.g. $frac{1}{sqrt{2}}left[ begin{array}{ccc} 0 & -1 & 1 end{array} right]$ and a rotational speed of $omega = 1.5$ [deg/s] around that axis. How can I check that I performed a full 360 rotation around the axis using only the angle measurements?



I know I can use a velocity formula $omega = frac{theta}{delta_t}$ but in this case I need to check the rotation using the angle.






rotations angle




rotations angle






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 7 at 5:18









LuisLuis

31




31








  • 1




    $begingroup$
    couldn't you just check whethre any point not on the axis is "back home"?
    $endgroup$
    – Hagen von Eitzen
    Jan 7 at 5:21










  • $begingroup$
    Your question is unclear. How to find if a rotation angle is 360 given the rotation angle? This is either trivial or something is not explained.
    $endgroup$
    – Paul Childs
    Jan 7 at 5:32










  • $begingroup$
    Why not just do 360/1.5? In other words - every 4 minutes.
    $endgroup$
    – Moti
    Jan 7 at 6:32
















  • 1




    $begingroup$
    couldn't you just check whethre any point not on the axis is "back home"?
    $endgroup$
    – Hagen von Eitzen
    Jan 7 at 5:21










  • $begingroup$
    Your question is unclear. How to find if a rotation angle is 360 given the rotation angle? This is either trivial or something is not explained.
    $endgroup$
    – Paul Childs
    Jan 7 at 5:32










  • $begingroup$
    Why not just do 360/1.5? In other words - every 4 minutes.
    $endgroup$
    – Moti
    Jan 7 at 6:32










1




1




$begingroup$
couldn't you just check whethre any point not on the axis is "back home"?
$endgroup$
– Hagen von Eitzen
Jan 7 at 5:21




$begingroup$
couldn't you just check whethre any point not on the axis is "back home"?
$endgroup$
– Hagen von Eitzen
Jan 7 at 5:21












$begingroup$
Your question is unclear. How to find if a rotation angle is 360 given the rotation angle? This is either trivial or something is not explained.
$endgroup$
– Paul Childs
Jan 7 at 5:32




$begingroup$
Your question is unclear. How to find if a rotation angle is 360 given the rotation angle? This is either trivial or something is not explained.
$endgroup$
– Paul Childs
Jan 7 at 5:32












$begingroup$
Why not just do 360/1.5? In other words - every 4 minutes.
$endgroup$
– Moti
Jan 7 at 6:32






$begingroup$
Why not just do 360/1.5? In other words - every 4 minutes.
$endgroup$
– Moti
Jan 7 at 6:32












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