How to Rank Radial Acceleration Magnitudes from Angular Velocity Graph?

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To rank the radial acceleration magnitudes from the angular velocity graph, it's essential to focus on the relationship between angular velocity and radial acceleration. The radial acceleration is determined by the formula a_r = ω²r, where ω is the angular velocity at each instant. The discussion highlights that the user initially confused angular acceleration with radial acceleration, leading to an incorrect ranking. The correct ranking must be based solely on the angular velocity values at instants a, b, c, and d. Understanding the distinction between angular and radial acceleration is crucial for accurate analysis.
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Homework Statement


Figure 10-22 is a graph of the angular velocity versus time for the rotating disk of Fig. 10-21a.
11_23.gif


For a point on the disk rim, rank the instants a, b, c, and d according to the magnitude of the radial acceleration, greatest first (use only the symbols > or =, for example b=d>a>c).

Homework Equations


\alpha = d\omega/dt


The Attempt at a Solution


I figured that the angular acceleration is just the slope of the angular velocity graph, so the magnitudes from greatest to least would be c>a>b=d.

What did I do wrong? The site says that I am wrong.
 

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Hi keemosabi! :smile:

Read the question! :rolleyes:
keemosabi said:
Figure 10-22 is a graph of the angular velocity versus time for the rotating disk …
For a point on the disk rim, rank the instants a, b, c, and d according to the magnitude of the radial acceleration …

I figured that the angular acceleration …

angular?
 

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