Linear speed and rotational quantity

  • #1
What linear speed must a 6.0×10−2 hula hoop have if its total kinetic energy is to be 0.15 J ? Assume the hoop rolls on the ground without slipping.


So, i know that the formula for linear momentum is p=mv. however, the hoop is circular, meaning it has to have a rotational velocity (omega). I cant seem to figure out how the Joules play into any equation that helps link linear and rotational speeds. Anyone know of any formulas I can use for this problem?
 

Answers and Replies

  • #2
Doc Al
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If something is both translating and rotating, how do you determine its total kinetic energy?

What does "rolling without slipping" tell you about how translational speed relates to rotational speed?
 
  • #3
if something is rolling without slipping, it has rotational speed but not translational speed?
 
  • #4
Doc Al
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45,180
1,502
Last edited by a moderator:

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