Rotational Dynamics Question

A question regarding circular motion....

If we have a particle that is rotating about a fixed axis then we have the relation v=rw. I was wondering if this relationship still holds if, as the particle moves, the axis of rotation changes (i.e. the plane of orbit tilts as the particle moves).

Thanks in advance for any help.

Reply 1

sea tea

the relation ship still holds, however as w is usually dependent on some angle theta, the v and w will still change as the plane is tilted.

Reply 2

the_anomaly

Do you not however have 2 angles changing...if the motion is restricted to a plane then you have one angle changing as it moves in a circle....when the motion is in 3 dimensional space you then require another angle....(i have a spherical polar coordinate system in mind here)....this is y i am still not entirely convinced the relationship holds....

Reply 3

driving_seat

If the v and w are same then it holds the relationship i.e. it is still moving in the circular path with same speed and radius. This can be done by applying variable force to the body