relative velocity and acceleration on rotating axisby azula.ozai Tags: kinematic analysis, velocity components 

#1
Jun1311, 09:01 AM

P: 2

1. The problem statement, all variables and given/known data
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 2. Relevant 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 3. 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 



#2
Jun1311, 09:57 AM

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P: 11,424

Hi azula.ozai, welcome to Physics Forums.
It's not entirely clear (to me ) from the description what the conveyor belt geometry is. Is it a planar ringshaped belt circling the origin (sort of like a turning Compact Disk)? 



#3
Jun1311, 10:12 AM

P: 2

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 gonna have it's z and y component.




#4
Jun1311, 10:37 AM

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P: 11,424

relative velocity and acceleration on rotating axis 


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