Force and torque question for two connected pipes

  • #1
Hauzen
13
4
Thread moved from the technical forums to the schoolwork forums
Hi.
I need your help!
I have a college physics question

Suppose there are pipes A and B.
[Figure 1]
I had to connect pipe B to pipe A, but pipe B was short, so I bent A by about 30 degrees and installed it.

[Figure 2]
It's a picture of the pipe A being installed by increasing the length in photo 1.

[Question]
1. [Figure 1] and [Figure 2] Is each pipe B the same force pulling pipe A?
2. [Figure 1] and [Figure 2] are the torque the same?
3. Is the angle of bending of pipe A [Figure 2]>[Figure 1]?

I would appreciate it if you could explain it in detail!
Q1.PNG
 
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  • #2
It's not really clear what you're asking. It seems the forces at the end of B (F1 & F2) would be prescribed by the problem statement in each instance. It could be the same or different.

Could you clarify? Also, you should show some effort at an answer.
 
  • #3
onatirec said:
It's not really clear what you're asking. It seems the forces at the end of B (F1 & F2) would be prescribed by the problem statement in each instance. It could be the same or different.

Could you clarify? Also, you should show some effort at an answer.
I'm sorry for the lack of explanation
Assuming that pipe B is pulling pipe A with the force of F1, I wonder if the force of F2 is the same as F1 if the length of pipe A is extended and installed above the same line as shown in the figure.
 
  • #4
Your clarification is no better than the initial post. If pipe B is getting pulled with some force F1, why would that ever change to some other force F2? Isn't the force a specified input, not an output?
 
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  • #5
The question is as clear as mud. :oops:

Is this situation perhaps?:
Pipe A has been forced to deviate from a straight line to reach the end of short pipe B and get connected to it (90° elbow).
That force has not created a permanent deformation on pipe A, only a perfectly elastc one.

Then, we extend the portion of pipe A that is elastically deformed for the very same purpose of reaching and connecting with short pipe B.
 
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FAQ: Force and torque question for two connected pipes

1. What is the relationship between force and torque in connected pipes?

Force and torque are related concepts in mechanics. When two pipes are connected, any force applied to one pipe can create a torque about the connection point. Torque is calculated as the product of the force applied and the distance from the point of rotation (the pivot point) to the line of action of the force. Therefore, the relationship can be expressed as τ = r × F, where τ is torque, r is the distance to the pivot, and F is the force applied.

2. How do you calculate the torque exerted on a pipe by an external force?

To calculate the torque exerted on a pipe by an external force, you need to know the magnitude of the force and the distance from the pivot point to the point where the force is applied. The torque can be calculated using the formula τ = r × F × sin(θ), where τ is the torque, r is the distance from the pivot to the point of force application, F is the force, and θ is the angle between the force vector and the line connecting the pivot to the point of application.

3. What factors affect the torque experienced by connected pipes?

The torque experienced by connected pipes is affected by several factors, including the magnitude of the applied force, the distance from the pivot point to the point of force application, the angle at which the force is applied, and the mechanical properties of the pipes, such as their material strength and cross-sectional area. Additionally, the configuration of the pipes and any friction at the connection point can also influence the torque.

4. How does the angle of force application impact torque?

The angle of force application significantly impacts the torque produced. If the force is applied perpendicular to the lever arm (the distance from the pivot point), the torque is maximized, as sin(90°) = 1. As the angle decreases, the effective component of the force contributing to the torque also decreases, following the sine function. Thus, the torque decreases as the angle approaches 0° or 180°.

5. Can torque be negative, and what does it signify in the context of connected pipes?

Yes, torque can be negative, and it signifies the direction of rotation. In the context of connected pipes, a positive torque may indicate a counterclockwise rotation, while a negative torque indicates a clockwise rotation. The sign of the torque is determined by the right-hand rule, which states that if you curl the fingers of your right hand in the direction of rotation, your thumb points in the direction of the torque vector. Understanding the sign of the torque is essential for analyzing the motion and stability of the connected pipes.

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