What is the frequency of the wave?

  • Thread starter Thread starter FearlessRose
  • Start date Start date
  • Tags Tags
    Frequency Wave
AI Thread Summary
The discussion revolves around calculating the frequency of a sound wave traveling at 345 m/s through air, with specific displacements of air molecules at given positions. The maximum displacement (sm) is identified as 6.30 nm, while the displacement at a nearby position is 2.40 nm. The equation s = sm cos(kx - ωt + φ) is used to relate displacement to wave parameters, but confusion arises regarding the use of the inverse cosine function to determine the phase. The key challenge is finding the value of the phase angle without a clear method presented. The thread emphasizes the importance of understanding wave properties and mathematical relationships in wave mechanics.
FearlessRose
Messages
8
Reaction score
1
1.
A sound wave of the form s = sm cos(kx - ωt + φ) travels at 345 m/s through air in a long horizontal tube. At one instant, air molecule A at x = 2.00 m is at its maximum positive displacement of 6.30 nm and air molecule B at x = 2.09 m is at a positive displacement of 2.40 nm. All the molecules between A and B are at intermediate displacements. What is the frequency of the wave?
Here is what I've gotten so far.
s=6.30 nm at 2m
s=240nm at 2.09
since s is max at 2m, the sm=6.40nm

s=smcos(kx-wt+phi)
kx-wt + phi=acos(s/sm)

I have everything I need but, how do I find out what the value of a is?
 
Physics news on Phys.org
There is no a, acos stands for arccos(y), the inverse cosine function.
 
Thank you!
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanged mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top