Dividing Torque: Tangent and Centripetal Force Breakdown

In summary, the conversation discusses the concept of torque and how it affects the motion of rotating objects. The question is raised about how to break down the torque into its components, specifically the tangent vector and the centripetal force vector. The expert explains that the torque creates an angular acceleration, and provides a resource for further information. The conversation also delves into the relationship between torque, angular velocity, and centripetal force, with the expert clarifying that all of the torque goes into the change of angular velocity, while the centripetal force simply maintains the object's circular path.
  • #1
Drifter009
6
0
I'm in the Rotational Motion Chapter.

After torque is applied to rotate an object,how do I go about breaking down the tangent vector and the centripetal force vector?

What I want to know is how the torque is being divided between the tangent direction and the radius direction.
 
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  • #2
I'm not quite sure what you mean. An applied (net) torque creates an angular acceleration.

Perhaps you can give a specific example of what you are asking about.
 
  • #3
You mean torque or the direction of velocity in uniform circular motion?

Maybe you can get some informaiton from this site:
http://ray.crk.umn.edu/physics/1012/lessons/lesson8.pdf
 
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  • #4
Doc Al,

I'm assuming when a torque is applied to a record to make it spin on the turn table that this results in an angular change in velocity, which settles into a constant velocity of 33 and 1/2 rpms. As a result of the constant angular velocity, a centripetal force occurs. I'm trying to begin with a torque and split how much force goes into the change of angular velocity, an how much force goes into the centripetal acceleration. My books doesn't explain this.
 
  • #5
Drifter009 said:
I'm trying to begin with a torque and split how much force goes into the change of angular velocity, an how much force goes into the centripetal acceleration.
All of the torque goes into the change of angular velocity. The centripetal force is the force preventing the object from going in a straight path, and it's perpendicular to the direction of travel, so no work (or energy consumption) occurs.
 

FAQ: Dividing Torque: Tangent and Centripetal Force Breakdown

What is the difference between torque and centripetal force?

Torque is a rotational force that causes an object to rotate around an axis, while centripetal force is a force that acts towards the center of a circular path and keeps an object moving in a circular motion.

How is torque calculated?

Torque is calculated by multiplying the force applied to an object by the distance from the axis of rotation to the point where the force is applied.

What is the relationship between torque and angular acceleration?

The relationship between torque and angular acceleration is described by Newton's second law for rotational motion, which states that the net torque on an object is equal to the moment of inertia of the object multiplied by its angular acceleration.

How does centripetal force affect an object in circular motion?

Centripetal force is responsible for keeping an object moving in a circular path. Without it, the object would continue moving in a straight line tangent to the circle.

What is the role of centripetal force in the design of amusement park rides?

Centripetal force is a crucial factor in the design of amusement park rides, as it is responsible for keeping riders safely in their seats and preventing them from flying off the ride. Engineers must carefully calculate and design the amount of centripetal force needed for each ride to ensure a thrilling yet safe experience for riders.

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