Solving a Hallway Reflection Problem

  • Thread starter Thread starter swatikiss
  • Start date Start date
  • Tags Tags
    Reflection
AI Thread Summary
To solve the hallway reflection problem, first calculate the wavelength using the formula v = λf, where the speed of sound is 343 m/s and the frequency is 246 Hz, resulting in a wavelength of approximately 1.39 m. The waves travel towards the walls and reflect, with one wave traveling 14.0 m to the nearest wall and the other traveling 33.0 m to the far wall. Each wave undergoes a phase shift of 180 degrees upon reflection. After determining the total distance each wave travels, calculate the phase difference when they meet at the tuning fork. The final phase difference can be derived from the total number of wavelengths each wave covers.
swatikiss
Messages
6
Reaction score
0
I am struggling with the following problem. I believe it shouldn't be hard - i must be missing something :confused: ?

A tuning fork generates sound waves with a frequency of 246 Hz. The waves travel in opposite directions along a hallway, are reflected by end walls, and return. The hallway is 47.0 m long, and the tuning fork is located 14.0 m from one end. What is the phase difference between the reflected waves when they meet at the tuning fork? The speed of sound in air is 343 m/s.

If you could help, I'd appreciate it!

Thanks!
 
Physics news on Phys.org
Why don't you try it? Start with:

v=\lambda f

where v is speed of sound, \lambda is the wavelength, and f is the frequency.
 
Yeah, first find out how many wavelengths the waves travel before hitting the wall for the first time. Then, figure out what the waves do when they hit the wall (phase shift, i would think) and come back.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'
Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is(Figure 2): F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
Thread 'A cylinder connected to a hanging 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