Calculating Angular Velocity with Moment of Inertia & Torque

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Homework Help Overview

The discussion revolves around calculating angular velocity using the moment of inertia and torque, specifically in the context of a disc that starts from rest and reaches a certain kinetic energy after a given time. Participants are exploring the relationships between angular velocity, kinetic energy, and angular momentum.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants are attempting to use the kinetic energy formula to find angular velocity and are questioning how to relate this to angular momentum over time. Some express confusion about the concept of torque and its existence, while others clarify its definition and relevance.

Discussion Status

The discussion includes various interpretations of torque and its implications in rotational motion. Some participants are providing clarifications about the nature of torque and its physical existence, while others are focused on the calculations related to angular velocity and momentum. There is no explicit consensus, but productive dialogue is occurring.

Contextual Notes

Participants are navigating misconceptions about torque and its relationship to energy and motion, indicating a need for clearer definitions and understanding of these concepts.

kingyof2thejring
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A disc of moment of inertia 23.4 kg m2 is made to rotate about an axis through its centre by a torque of T . The disc starts from rest, and after {t} s has kinetic energy 632.2 J. Calculate the angular velocity (in rad s-1) after {b} s.

if i work out the angular velocity from the KE=0.5*I*w^2 this equation how do i use it work out the angular momentum from t to b.
 
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The problem doesn't actually ask for angular momentum, but you should be able to figure out the angular momentum from the moment of interia, and the angular velocity.
 
I have a doubt. Does something called as torque energy really exist. I have understood that torque is something imagined and does not actually exist fromthe explanation given to me on the post "right hand rule" in Gen Phys. Someone please explain.
 
What you are calling "torque energy" is just rotational kinetic energy. Why in the world would you think that torque is just something "imagined"?
 
I interpreted that right hand rule can be replaced by lefthand rule, so the direction of things like torque isn't fixed. It is just a convention. Anyway the explanation wasn't clear to me. The above reasons led me to the conclusion that the torque is just something imagined and does not really exist. I understood that I am through a wrong way. Please direct me in proper way.
 
vaishakh:
Direction of a torque may be defined in a conventional way but that doesn't mean it doesn't exist. Torques are just turning forces (or coupled linear forces). Have you never seen anything turn or rotate? (rhetorical question). Of course torques exist.

kingyof2thejring:
ang momentum = moment of inertia * ang velocity
(you have everything you need for the calculation)
 

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