Calculating Angular Momentum: Mass, Radius, and Frequency Considerations

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Homework Help Overview

The discussion revolves around calculating the angular momentum of a turntable given its mass, radius, and frequency of rotation. The original poster expresses difficulty in arriving at the correct value for angular momentum despite following the relevant formulas.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formulas for moment of inertia and angular momentum, questioning the conversion of frequency from revolutions per second to radians per second. There is an exploration of the implications of unit conversion on the final calculation.

Discussion Status

Some participants have provided guidance on the necessity of converting frequency to the correct units, indicating a productive direction in the discussion. However, there is no explicit consensus on the final calculation or resolution of the problem.

Contextual Notes

The original poster's calculations are based on the assumption that the frequency is already in the correct units for the angular momentum formula, which is being questioned by other participants.

jmb07
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A turntable has mass 4.96 kg and a radius of 0.092 m and is spinning with a frequency of 0.53 rev/s. What is the angular momentum??

As simple as this problem seems, I just cannot seem to get the correct answer...here is what i have so far:

I (for a disc) = (1/2)(mr^2)
L = I(omega)
I also know that angular momentum = frequency x I

So,
0.53rev/s(.5 x 4.96kg x 0.092^2) = 0.011 (kgm^2)/s
However the correct answer is 0.0699...what am i doing wrong?
 
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jmb07 said:
L = I(omega)
I also know that angular momentum = frequency x I
L = Iω, where ω is in radians/sec.

So,
0.53rev/s(.5 x 4.96kg x 0.092^2) = 0.011 (kgm^2)/s
However the correct answer is 0.0699...what am i doing wrong?
Convert to proper units.
 
The frequency is in revolutions per second; you need to convert it into radians per second. The conversion factor is [itex]2\pi\ \text{radians} = 1\ \text{revolution}[/itex].
 
thanks!
 

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