Torque and Initial Angular Velocity effect on time

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Homework Help Overview

The discussion revolves around the effects of torque and initial angular velocity on the time it takes for an engine to stop. The subject area includes concepts of angular motion and dynamics.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between angular velocity and stopping time, with some questioning the initial assertions about how torque influences acceleration and deceleration. There are attempts to clarify the effects of higher angular velocity on momentum and stopping time.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts and reasoning. Some guidance has been offered regarding the analogy between angular and linear motion, but there is no explicit consensus on the correct interpretation or answer.

Contextual Notes

Participants are navigating through assumptions about the relationships between torque, angular velocity, and stopping time, and there is mention of potential kinematic equations that may apply.

lc99
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Homework Statement


upload_2018-2-3_21-59-45.png


Homework Equations


[/B]
T = inertia * alpha

The Attempt at a Solution


I'm not sure how the torque or angular velocity initially affects the time to speed, but it seems like the more angular velocity , then the quicker the engine would stop. I do know that more torque induces more acceleration.

Am i suppose to use one of the kinematic equations? Can someone hint me to this question? :O[/B]
 

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lc99 said:
seems like the more angular velocity , then the quicker the engine would stop
Why?
 
haruspex said:
Why?
Oops, i meant to say longer to stop. If the angular velocity is greater, it would take more time to stop it since it builds a higher momentum.
 
lc99 said:
Oops, i meant to say longer to stop. If the angular velocity is greater, it would take more time to stop it since it builds a higher momentum.
Right, so which answer are you thinking?
 
haruspex said:
Right, so which answer are you thinking?
I think the answer is B, but I am not sure if my logic is right.

Since B has a greater angular velocity, its time to stop is longest out of the three. Also, A is greater than C because the torque is higher in C which means that the torque is better at slowing down the engine.

Is there some kind of equation that illustrates this?
 
lc99 said:
I think the answer is B, but I am not sure if my logic is right.

Since B has a greater angular velocity, its time to stop is longest out of the three. Also, A is greater than C because the torque is higher in C which means that the torque is better at slowing down the engine.

Is there some kind of equation that illustrates this?
All good.
 
... missed your edit.

Angular motion is strongly analogous to linear motion. Substitute force for torque, linear velocity for angular velocity and linear acceleration for angular acceleration. Are the equations obvious now?
 

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