Torque and tangential velocity

In summary: This is why torque is responsible for a change in tangential velocity and thus angular velocity. The moment of inertia offers opposition to torque because it is a measure of an object's resistance to changes in rotation. In summary, torque is responsible for a change in tangential and angular velocity, and the moment of inertia offers opposition to torque by measuring an object's resistance to changes in rotation.
  • #1
Josielle Abdilla
50
4
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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  • #2
Force = Mass times Acceleration
goes to
Torque = MI times Angular Acceleration
 
  • #3
thanks a lot! Can you please give the definition of moment of inertia?
 
  • #4
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.
 
  • #5
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
 
  • #6
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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  • #7
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.
 
  • #8
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.
 

FAQ: Torque and tangential velocity

What is torque?

Torque is a measure of the force that causes an object to rotate around an axis. It is calculated by multiplying the force applied to an object by the distance from the axis of rotation.

How is torque related to tangential velocity?

Torque and tangential velocity are related through the equation τ = Iα, where τ is torque, I is the moment of inertia, and α is the angular acceleration. This equation shows that torque is directly proportional to tangential velocity.

What is tangential velocity?

Tangential velocity is the speed at which an object is moving along a circular path. It is calculated by multiplying the radius of the circle by the angular velocity, which is the rate of change of the object's angular position.

How does torque affect tangential velocity?

Torque affects tangential velocity by changing the object's angular acceleration. The greater the torque applied, the greater the angular acceleration and therefore the faster the tangential velocity.

What are some real-world applications of torque and tangential velocity?

Torque and tangential velocity are important concepts in various fields such as engineering, physics, and sports. They are used in designing machines and structures, understanding the motion of objects in circular motion, and analyzing the performance of athletes in sports such as figure skating and gymnastics.

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