Torque and tangential velocity

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SUMMARY

The discussion centers on the relationship between torque, moment of inertia (MOI), and angular acceleration in physics. Torque is defined as the twisting force that causes an object to rotate, while moment of inertia quantifies an object's resistance to changes in its angular velocity, influenced by both mass and its distribution relative to the axis of rotation. The conversation highlights the importance of understanding these concepts to grasp how torque affects tangential velocity and angular acceleration. Additionally, it emphasizes the necessity of structured learning through textbooks and lectures rather than fragmented questioning.

PREREQUISITES
  • Understanding of basic physics concepts such as force, mass, and acceleration
  • Familiarity with the equations of motion, specifically Torque = Moment of Inertia × Angular Acceleration
  • Knowledge of how mass distribution affects moment of inertia
  • Basic grasp of angular velocity and tangential velocity
NEXT STEPS
  • Study the derivation and applications of the equation Torque = Moment of Inertia × Angular Acceleration
  • Explore the concept of moment of inertia in detail, including its calculation for various shapes
  • Investigate the relationship between torque and angular momentum
  • Review advanced physics textbooks or online courses focusing on rotational dynamics
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in understanding the principles of rotational motion and dynamics.

Josielle Abdilla
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Poster has been reminded to show more effort and reading before posting basic questions like this.
What is the moment of inertia and what relationship does it have to do with the torque. I have advanced physics
 
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Force = Mass times Acceleration
goes to
Torque = MI times Angular Acceleration
 
thanks a lot! Can you please give the definition of moment of inertia?
 
I think it would be less trouble for you to look that up on Wiki than for me to write it down, aamof. You do have "advanced physics" , after all. :wink:
Actually, there is a use for Moment of Inertia in the strength of structures, too - but one thing at a time, perhaps.
 
Hi..Does anyone know why torque is responsible for a change in the tangential velocity and thus the angular velocity i.e. there is angular acceleration. I know that there is an equation to prove this but I don't know why exactly Besides that, why does the moment of inertia offer opposition to the torque? Thanks to all of you who are willing to help me
 
Josielle Abdilla said:
Thanks to all of you who are willing to help me

I think the best help is to point out that asking random questions like that is a poor learning strategy. It gives you fragmented knowledge. Soon you'll find that you're missing another fragment and another.

That is why courses start with textbooks and lectures, rather than just putting the teacher up front to answer questions. You can also learn much from the universally available Wikipedia or online video courses.
 
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Josielle Abdilla said:
Hi..Does anyone know why torque is responsible for a change in the tangential velocity and thus the angular velocity i.e. there is angular acceleration. I know that there is an equation to prove this but I don't know why exactly Besides that, why does the moment of inertia offer opposition to the torque? Thanks to all of you who are willing to help me

Torque is defined as twisting force. So, the object that it is acting on will turn/twist which gives said object an angular velocity.
 
The Mass of an object is what gives it inertia (reluctance to change linear velocity).

The Moment of Inertia can be thought of as doing the same thing for rotation (eg reluctance to change angular velocity). The MOI depends on an objects mass and the arrangement of that mass in relation to the axis of rotation. The arrangement of the mass is important because the further it is from the axis of rotation the greater is the tangential acceleration in response to a constant angular acceleration.
 

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