The discussion focuses on calculating the displacement from the equilibrium position of a particle located at a distance of x=£/12 from a wave source at time t=T/4, with an amplitude A=0.2 m. The relevant wave equation is x=A*cos(wt), where the argument incorporates both time and distance. The correct displacement is determined to be £=0.24 m, derived from substituting the values into the wave equation. Participants emphasize the importance of understanding the full traveling wave equation, which includes both time and distance components.
PREREQUISITESStudents studying physics, particularly those focusing on wave mechanics, and anyone seeking to understand the mathematical modeling of wave behavior in various contexts.
Could you show me that equation. Maybe we haven't learned it yet.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).
No we haven't done any equation with velocity except v= λ/Tgneill said:You can look it up on the web. Search for "traveling wave". For example, look at the Hyperphysics website entry.
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.zade70 said:No we haven't done any equation with velocity except v= λ/T