Getting the angular velocity using the angular acceleration graph

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Homework Help Overview

The discussion revolves around determining angular velocity from an angular acceleration graph. Participants are analyzing the relationship between area under the graph and changes in angular velocity.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • One participant attempts to calculate the change in angular velocity using the area under the graph, while others question the interpretation of specific values used in the calculation.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the calculations and clarifying misunderstandings. Some guidance has been provided regarding relevant equations, but no consensus has been reached on the correct approach.

Contextual Notes

There appears to be confusion regarding the values used in the calculations, and participants are addressing potential mistakes in their reasoning. The original poster's calculations do not align with the provided answer choices.

dahoom102
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Homework Statement
The graph below shows a plot of angular acceleration in rad/s2 from t=0 to t = 8s, the angular velocity at t=0 is 5rad/s ccw. the angular velocity at t=8 is
Relevant Equations
α=dω/dθ
1612806379741.png

1612806406863.png

The answer here is A
What i did is getting the area as follows,
2×4×1/2 +3×-6×1/2 +4×-6 = -29
and then use this
Δω=ωf-ωi
-29=ωf-5
ωf=24
but there is no such choice.
 
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Why 4x-6 (in your language) ?
 
BvU said:
Why 4x-6 (in your language) ?
oh my mistake I didn't notice thanks a lot!
 
dahoom102 said:
Relevant Equations:: α=dω/dθ
##\alpha = \dfrac{d\omega}{dt}=\omega \dfrac{d\omega}{d \theta} .~~## :oldsmile:
 
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