Question

Angular Momentum Physics Problem

The problem is attached in the image posted below. Thank you for your help.

Answer 1

what have you tried so far?

Answer 2

Your total velocity is going to be equal to this:\[v _{TOT}=v _{TRANS}+v _{ROT}\]where vTOT is the total velocity; vTRANS is the translating velocity; and vROT is the rotational velocity. Each ball rotates with some angular velocity. We can write an equation for angular velocity:\[\omega =\frac{ v }{ r }\]where ω is angular velocity; v is the tangential velocity; and r is the radius of each ball. Now lets put that in the first equation:\[v _{TOT}=v _{TRANS}+v _{t}\]\[v _{TOT}=v _{TRANS}+\omega r\]vTRANS os the velocity of the conveyor belt. So that means the first problem is given by:

Answer 3

\[v _{TOT}=1.69ms +(0.063m)*18.2rad/s=13.16m/s\]

Answer 4

For ball 2, it's entire velocity is totally tangential velocity from its rotation so the equation to use will be:\[v=rw\]We can plug in values and find that velocity:\[v=(0.0428m)(14.8rad/s)=0.633m/s\]

Answer 5

Knowing those velocities should allow you to write and solve equations to find how long it takes each ball to move the distance specified in the problem. Then you should also be able to use the information from the equations I wrote to find the answer to the last question.