Fluid Mechanics and SHM of spring

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Homework Help Overview

The discussion revolves around two distinct problems: one related to fluid mechanics, specifically involving the flow of water through a narrowing pipe and the application of Bernoulli's principle, and the other concerning simple harmonic motion (SHM) of a spring system, where a block is displaced from its equilibrium position.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • The original poster attempts to apply Bernoulli's principle and continuity equation to determine the velocity of water in a narrowing pipe. They express uncertainty about their results. For the SHM problem, they seek to find the amplitude and phase constant without knowing the spring constant, raising questions about the feasibility of their approach.

Discussion Status

Some participants request clearer problem statements and express confusion regarding the original poster's attempts. There is a suggestion that the fluid problem may require an expression for velocity in terms of the tank height. Additionally, multiple participants question how the SHM problem can be solved without the spring constant, indicating a lack of consensus on the methods being used.

Contextual Notes

The original poster mentions that the problems are created by their professor, which may imply specific constraints or expectations in the problem setup. There is a noted lack of information regarding the spring constant in the SHM problem.

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Homework Statement


Fluid Mechanics problem: http://i.imgur.com/dlAO6.jpg

SHM of spring problem: http://i.imgur.com/7AOMR.jpg

Homework Equations


Fluid mechanic problem;
Bernoulli's principle A1v1=A2v2
v= velocity
A= cross sectional area
R= flow rate

SHM of spring problem;
x(t)=Acos(ωt+∅)

The Attempt at a Solution


For the Fluid problem I ended up with :
v = R/A2 = 2R/A1

For the SHM problem I ended up with:
A = 0.10
∅= cos-10.05/0.1I'm having a problem with both of these problems and I'm not confident with my answers.
Any help would be greatly appreciated :)
(And sorry if I break any rule of the forums or such, It's only my first post :/ )
 
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You are going to have to provide a better problem statements than what you supplied. We are not mind readers here.
 
LawrenceC said:
You are going to have to provide a better problem statements than what you supplied. We are not mind readers here.

I'm sorry :/ These problems are actually made by my professor himself, but I'll try to explain.

In the first problem, water is flowing from the tank into a narrowing pipe, I'm supposed to get the velocity of the water when its in the narrow part of the pipe. It's related to Bernoulli's principle of fluid through a narrowing pipe.

For the second problem, It's a block of 0.5 kg displaced 5cm from its original position with an initial velocity of 10 m/s. I'm supposed to get A (or Xm) which is Amplitude and ∅ which is the phase constant.
 
In the fluids problem, I think the teacher is looking for an expression for the velocity in terms of the height of the tank.

A1V1=A2V2 is just a form of the continuity equation which is a statement of conservation of mass for constant density. Bernoulli's principle is something else.
 
With the SHM problem, how did you do it without knowing the spring constant value?
 
LawrenceC said:
With the SHM problem, how did you do it without knowing the spring constant value?

^This. I was wondering how you could solve without the spring constant.
 

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