Improve Your Test Review: Solving for Final Angular Speed with a Spinning Mass

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In summary, the conversation is about a homework problem involving a small mass connected to a cord and spun at a constant angular speed. The problem asks for the final angular speed of the mass when the cord is pulled inward to a shorter distance. The hint of "Conservation of angular momentum" is given and the moment of inertia is discussed. The final answer is calculated to be 73.46 radians per second.
  • #1
fishingaddictr
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im stuck on one of the homework problems I am reviewing for a test. any help would be appreciated. I am not sure on how to set up the problem.

a small 1.32 kg mass is connected to a cord of length 1.62 meters, and spun at a constant angular speed of 8.0 radians per second. if the cord is pulled inward so that the mass is only 0.33 times as far from the axis as it started out, what is the final angular speed of the mass at its new distance from the axis?
 
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  • #2
HINT: Conservation of angular momentum
 
  • #3
thats what i was thinking.. so i would set them equal.. what would the moment of inertia be for this case?
 
  • #4
Since the mass is small, [tex]I = mr^2[/tex], where r is the length of the cord.
 
  • #5
oh ok. i got it

since the mass would cancel out i got r1^2*v1=r2^2*v2 with the answer 73.46radians per second.

is that correct?
 

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