Fluid Mechanics and SHM of spring

In summary: Also, what type of problem is the SHM problem? In summary, the conversation is about two different homework problems - one involving fluid mechanics and Bernoulli's principle, and the other involving simple harmonic motion of a spring. The solution to the fluid mechanics problem involves using the continuity equation, A1V1=A2V2, and the solution to the SHM problem involves finding the amplitude and phase constant without knowing the spring constant. The OP is seeking help with both problems.
  • #1
nago
2
0

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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  • #2
You are going to have to provide a better problem statements than what you supplied. We are not mind readers here.
 
  • #3
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.
 
  • #4
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.
 
  • #5
With the SHM problem, how did you do it without knowing the spring constant value?
 
  • #6
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.
 

FAQ: Fluid Mechanics and SHM of spring

What is fluid mechanics?

Fluid mechanics is the branch of physics that studies the behavior of fluids, which include liquids and gases, and the forces that act upon them.

How does a spring exhibit simple harmonic motion (SHM)?

A spring exhibits SHM when it is stretched or compressed by an external force. The force applied to the spring is directly proportional to its displacement from its equilibrium position, and the direction of the force is opposite to the displacement. This results in a periodic motion that is characterized by a constant amplitude and frequency.

What are the factors that affect the period of oscillation of a spring?

The period of oscillation of a spring depends on its mass, stiffness, and the force applied to it. Heavier masses result in longer periods, while stiffer springs and larger forces result in shorter periods.

How do fluid mechanics and SHM of spring relate to each other?

Fluid mechanics is important in understanding the behavior of fluids within a system, such as a spring. The motion of the fluid within the spring affects its overall behavior, and vice versa. For example, the damping effect of a fluid can influence the amplitude and frequency of a spring's oscillation.

What are some practical applications of fluid mechanics and SHM of spring?

Fluid mechanics and SHM of spring have numerous practical applications, such as in the design of hydraulic systems, pumps, and turbines. They are also important in understanding the motion of objects in air or water, such as airplanes and ships. In addition, SHM of spring is used in many mechanical devices, such as clocks and watches, to measure time accurately.

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