Find the displacement from the equilibrium position

In summary, the displacement from the equilibrium position of a particle located at x=£/12 from the wave source at the moment t=T/4 can be found by using the full traveling wave equation, which takes into account both time and distance from the source. This equation includes the amplitude of the wave (A), the angular frequency (w), and the velocity of the wave (v). If the velocity has not been covered, further research may be necessary to solve this problem.
  • #1
zade70
61
0

Homework Statement


Find the displacement from the equilibrium position of the particle that is in the distance x=£/12 from the wave source, for the moment t=T/4. The amplitude of the wave is A=0.2 m

Homework Equations


x=A*cos(wt)=A*cos2*pi/T* t

The Attempt at a Solution


x=£/12
£/12=0.02*cos2*3.14/T *T/4
£=0.02*12=0.24 m. Is this what I should find?
 
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  • #2
You'll want to start with the full traveling wave equation which accounts for both time and distance from the source (the argument of the trig function for the wave has terms for both time and distance).
 
  • #3
gneill said:
You'll want to start with the full traveling wave equation which accounts for both time and distance from the source (the argument of the trig function for the wave has terms for both time and distance).
Could you show me that equation. Maybe we haven't learned it yet.
 
  • #4
  • #5
gneill said:
You can look it up on the web. Search for "traveling wave". For example, look at the Hyperphysics website entry.
No we haven't done any equation with velocity except v= λ/T
 
  • #6
zade70 said:
No we haven't done any equation with velocity except v= λ/T
That's the velocity that the wave travels from the source, and it is relevant here as part of the traveling wave equation. If you haven't covered it yet you'll have to read ahead in order to answer this question.
 

Related to Find the displacement from the equilibrium position

1. What is meant by "displacement from the equilibrium position"?

Displacement from the equilibrium position refers to the distance and direction of an object or system from its resting state or position of balance.

2. How is displacement from the equilibrium position measured?

Displacement from the equilibrium position is typically measured in units of length, such as meters or centimeters, using a ruler or other measuring device.

3. What factors can affect the displacement from the equilibrium position of an object or system?

The displacement from the equilibrium position can be affected by various factors, such as external forces acting on the object or system, changes in temperature or pressure, and the properties of the object or system itself.

4. Why is it important to calculate the displacement from the equilibrium position?

Calculating the displacement from the equilibrium position allows us to understand the behavior and movement of an object or system, and can help us predict and control its motion.

5. What is the relationship between displacement from the equilibrium position and potential energy?

The displacement from the equilibrium position is directly related to the potential energy of an object or system. As the displacement increases, so does the potential energy, and vice versa.

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