Find the displacement from the equilibrium position

[zade70]

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?

 

[gneill]

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).

 

[zade70]

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.

 

[gneill]

You can look it up on the web. Search for "traveling wave". For example, look at the Hyperphysics website entry.

 

[zade70]

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

 

[gneill]

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.