Understanding the Trough Problem: 10ft Pipe with Isoceles Triangle Ends

  • Thread starter Thread starter JasonRox
  • Start date Start date
AI Thread Summary
The discussion revolves around understanding a trough shaped like a prism with isosceles triangle ends, measuring 10 feet in length, 3 feet across the top, and 1 foot in height. Participants clarify that a trough is essentially a container with a constant cross-section, which in this case is a triangle. There is confusion about the geometry, with some thinking of it as a pipe with additional conical ends, but the consensus is that it is a triangular prism. The dimensions indicate that the triangular cross-section is 3 feet wide at the top and 1 foot tall. Overall, the conversation seeks clarity on the geometric properties of this specific trough design.
JasonRox
Homework Helper
Gold Member
Messages
2,381
Reaction score
4
This is the beginning of a question and I have NO clue what the hell they are talking about.

A trough is 10ft long and its ends have the shape of isoceles triangles that are 3ft across at the top and have a height of 1ft.

This is just the beginning of the question. I looked up what trough is and I found it to be some sort of pipe.

I can't solve the problem without this.

I'm thinking of a pipe that is 10 feet long and 1 feet high. That is the volume of a cylinder. Plus, 2 cones on the tips of some kind. I really don't know.

Any help?
 
Mathematics news on Phys.org
A trough is, erm, something that farm animals eat out of, amongst other things. Just imagine you've got a container that is prism of constant cross section (the triangle) and of length 10ft. That is the trough.

Feet? Oh well. Never mind.
 
take a long section of pipe with a triangular cross section. remove one of the sides and you'll have your trough.
 
Like this...

\...../
..\_________/

...is that it?

3 feet across the top, from what?
 
Yes that would be a trough, I would say the distance between the top corner of the trough to the other top corner is 3 feet.
 
In other words, the trough is 1 feet tall.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Back
Top