Force at Pipe Bend Outlet A: 0.0707(12cos120 - 12)

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Homework Help Overview

The discussion revolves around the calculation of forces at the outlet of a pipe bend, specifically addressing the force at outlet A and its relation to the angle of 120 degrees with the horizontal. Participants are examining the definitions and directions of forces acting on the water and the pipe bend.

Discussion Character

  • Conceptual clarification, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are questioning the validity of the force expression at outlet A and discussing the implications of the angle involved. There are inquiries about the definitions of forces (Fx and Fy) and whether they should represent the force acting on the water by the pipe bend or vice versa. Some participants are exploring how to define resultant forces and the impact of changing these definitions on calculations.

Discussion Status

The discussion is ongoing, with participants providing insights into the definitions of forces and their directions. There is a recognition that different approaches can yield the same results if the definitions are consistently applied. However, there is no explicit consensus on the best approach to take.

Contextual Notes

Participants are referencing specific figures and attachments related to earlier problems, which may be causing confusion regarding the correct setup for the current problem. There is also a mention of the need to clarify the definitions used in the context of the problem.

foo9008
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Homework Statement


why the force at outlet A shouldn't be 0.0707(12 cos120 - 12)

Homework Equations

The Attempt at a Solution


as we can see from the figure , outlet A make an angle 120 with the horizontal line
 

Attachments

  • 127.PNG
    127.PNG
    10.6 KB · Views: 494
  • 128.PNG
    128.PNG
    12.8 KB · Views: 498
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foo9008 said:

Homework Statement


why the force at outlet A shouldn't be 0.0707(12 cos120 - 12)

Homework Equations

The Attempt at a Solution


as we can see from the figure , outlet A make an angle 120 with the horizontal line
I think one of your attachments ('127') is for an earlier problem.
 
haruspex said:
I think one of your attachments ('127') is for an earlier problem.
ignore 128 , pls refer to the picture i upload now .
 

Attachments

  • 126.PNG
    126.PNG
    10.7 KB · Views: 563
foo9008 said:
ignore 128 , pls refer to the picture i upload now .
You are confusing yourself. Both 126 and 127 were for an earlier problem. Neither has an angle 120 degrees in it. Only 128 matches the text of your post in this thread.
 
haruspex said:
You are confusing yourself. Both 126 and 127 were for an earlier problem. Neither has an angle 120 degrees in it. Only 128 matches the text of your post in this thread.
sorr, pls refer to the picture i uploaded now , 129 and 126
 

Attachments

  • 129.PNG
    129.PNG
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  • 126.PNG
    126.PNG
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foo9008 said:
sorr, pls refer to the picture i uploaded now , 129 and 126
No, the correct two images are 128 and 129.
foo9008 said:
why the force at outlet A shouldn't be 0.0707(12 cos120 - 12)
Again you are right. But if you look at the next line the correct numerical value is obtained.
 
haruspex said:
No, the correct two images are 128 and 129.

Again you are right. But if you look at the next line the correct numerical value is obtained.
haruspex said:
No, the correct two images are 128 and 129.

Again you are right. But if you look at the next line the correct numerical value is obtained.
why Fx means the force of blade acts on water ? shouldn't it be force of water act on blade?
 
foo9008 said:
why Fx means the force of blade acts on water ? shouldn't it be force of water act on blade?
The author has chosen to define Fx and Fy as forces from the blade acting on the water.
 
haruspex said:
The author has chosen to define Fx and Fy as forces from the blade acting on the water.
if i want to directly find the resultant force acting on the pipe bend on the water , how to find it ? what's the equation ?
 
  • #10
foo9008 said:
if i want to directly find the resultant force acting on the pipe bend on the water , how to find it ? what's the equation ?
I'm not sure what you are asking. If you mean, how to find force of water on blade, just define Fx and Fy in the opposite directions.
If you mean how to find the resultant force without finding the x and y components, define your axes to be aligned with and perpendicular to the resultant, which is at some unknown angle theta to the incoming water. Then find the components of various lnown forces in those directions. It is just as much work, though.
 
  • #11
haruspex said:
I'm not sure what you are asking. If you mean, how to find force of water on blade, just define Fx and Fy in the opposite directions.
If you mean how to find the resultant force without finding the x and y components, define your axes to be aligned with and perpendicular to the resultant, which is at some unknown angle theta to the incoming water. Then find the components of various lnown forces in those directions. It is just as much work, though.
i mean find the resultant force acting on the pipe bend by the water , can we define Fx = resultant force acting on the pipe bend by the water instead of
resultant force acting on the water by the pipe bend ? so , if we define Fx = resultant force acting on the pipe bend by the water, then Fx = 0.0707(12cos 120 -12) +0.1414(12 cos60 -12 ) = 2.12KN(to the left)

is it correct to do so ?
i just couldn't understand why the author define Fx as resultant force acting on water by the pipe bend ?
 
  • #12
foo9008 said:
i mean find the resultant force acting on the pipe bend by the water , can we define Fx = resultant force acting on the pipe bend by the water instead of
resultant force acting on the water by the pipe bend ? so , if we define Fx = resultant force acting on the pipe bend by the water, then Fx = 0.0707(12cos 120 -12) +0.1414(12 cos60 -12 ) = 2.12KN(to the left)

is it correct to do so ?
i just couldn't understand why the author define Fx as resultant force acting on water by the pipe bend ?
Sure, you can define it the other way round. It just flips its sign in every equation.
 
  • #13
haruspex said:
Sure, you can define it the other way round. It just flips its sign in every equation.
Why we can't just not flip the equation and do as in the notes, but define fx as force acting on the bend by the water? I don't understand why the author define fx as force acting on the water by bend and do it this way
 
  • #14
foo9008 said:
Why we can't just not flip the equation and do as in the notes, but define fx as force acting on the bend by the water? I don't understand why the author define fx as force acting on the water by bend and do it this way
I can't think of a reason.
 

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