Relative velocity and acceleration on rotating axis

AI Thread Summary
The discussion revolves around calculating the relative and absolute velocity and acceleration of a package on a conveyor belt that moves at a constant speed of 1.5 m/s while rotating around the origin at an angular velocity of 6 rad/s. The geometry of the conveyor belt is clarified to be similar to those found in airports or grocery counters, rotating about the z-axis at a 45-degree angle above the horizontal y-axis. Participants express confusion about the appropriate formulas to use, particularly regarding the angular velocity and its application in the calculations. The need for clarity on the conveyor's geometry and the components of motion is emphasized for accurate problem-solving. Overall, the discussion seeks to resolve the complexities involved in applying physics principles to this scenario.
azula.ozai
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Homework Statement


given a package on a conveyor belt running at a constant veloctiy of 1.5m/s, 1.8m away from the origin. the conveyor belt is rotating origin as a pivot at angular velocity 6 rad/s. it rotates on z axis. calculate the relative velocity of the package from origin (Vp/0) and V absolute. calculate also the relative acceleration (A p/0) and absolute accelearation



Homework Equations


Vp = Vo + Vp/o...<---Vo = 0 since origin, thus Vp/0 = Vp..
Vp = Vo + (w x r)...(angular velocity x distance)..(but angular velocity of conveyor belt is not given)..
what is absolute velocity


The Attempt at a Solution


usually i use the formula Vp = w x r (angular velocity cross product r (distance)

i am confused of how and which formula to use to solve this question. please help me
 
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Hi azula.ozai, welcome to Physics Forums.

It's not entirely clear (to me :smile:) from the description what the conveyor belt geometry is. Is it a planar ring-shaped belt circling the origin (sort of like a turning Compact Disk)?
 
oh sorry gneill...it's like the conveyor belt in the airport. or in the grocery counter..but is rotate about point 'o' on z axis (weird..but yeah). it's 45 degree above horizontal y axis. sorry I'm not able to attach the question here. and at the same time the belt moves with contant v of 1.5 m/s. the pacakge on the conv. belt is 1.8m away from origin. so it's going to have it's z and y component.
 
azula.ozai said:
oh sorry gneill...it's like the conveyor belt in the airport. or in the grocery counter..but is rotate about point 'o' on z axis (weird..but yeah). it's 45 degree above horizontal y axis. sorry I'm not able to attach the question here. and at the same time the belt moves with contant v of 1.5 m/s. the pacakge on the conv. belt is 1.8m away from origin. so it's going to have it's z and y component.

So the conveyor is something like the one depicted in the attached figure, only it's overhead view would be circular?
 

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