Angular momentum and change in velocity

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Homework Help Overview

The problem involves a turntable with a specified moment of inertia and initial angular speed, where a mass is added to the system. Participants are tasked with determining the new angular speed after the mass is added.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of angular momentum conservation principles, specifically the relationship between moment of inertia and angular speed. There is an attempt to set up the equation for angular momentum before and after the mass is added.

Discussion Status

Some participants have attempted calculations but have encountered discrepancies with the expected answer. There is a request for clarification on the calculation details, indicating an ongoing exploration of the problem. One participant acknowledges an error in their approach.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can share or the methods they can use. There is a noted confusion regarding the units involved in the calculations.

physgrl
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Homework Statement



A turntable has a moment of inertia of 2.5 x 10-2 kg m2 and spins freely at 33.3 rev/min. A 0.25 kg ball of putty is dropped vertically on the turntable at a point 0.20 m from the center. What is the new angular speed of the system?

a. 41 rev/min
b. 24 rev/min
c. 33 rev/min
d. 27 rev/min


Homework Equations



L=Iω
p=mv
L=r*p

The Attempt at a Solution



i tried to do Iω=(I+mr)ω(final)
i got 27 rev/min
the real answer is supposed to be 24rev/min according to the answer key
 
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physgrl said:

Homework Statement



A turntable has a moment of inertia of 2.5 x 10-2 kg m2 and spins freely at 33.3 rev/min. A 0.25 kg ball of putty is dropped vertically on the turntable at a point 0.20 m from the center. What is the new angular speed of the system?

a. 41 rev/min
b. 24 rev/min
c. 33 rev/min
d. 27 rev/min


Homework Equations



L=Iω
p=mv
L=r*p

The Attempt at a Solution



i tried to do Iω=(I+mr)ω(final)
i got 27 rev/min
the real answer is supposed to be 24rev/min according to the answer key

Can you show the details of your calculation? We can't tell you what you did wrong if you don't show us your work!
 
"i tried to do Iω=(I+mr)ω(final)"

Careful, mr does not have same units as I.
 
Yeah that was my error thanks!
 

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