The drawing shows a graph of two waves traveling to the right at the same speed. (a) Using the data in the drawing....?
The drawing shows a graph of two waves traveling to the right at the same speed. Using the data in the drawing, What is the maximum speed for a particle attached to each wave?
Wavelength for A: 2 m
Wavelength for B: 4 m
frequency when at 14m/s
A: 7 Hz
B: 3.5 Hz
- Steve4PhysicsLv 710 months agoFavorite Answer
Poorly worded question. You can’t ‘attach’ a particle to a wave. I guess they mean the particle is part of the medium, e.g. a particle of string if we have a wave on a string.
The particle will execute simple harmonic motion and we can use the standard formula:
max. speed = ω * amplitude
We don’t need the wave speed (14m/s) as we told frequency and ω = 2πf. Hence:
max. speed = 2πf * amplitude
For wave A, max. particle speed = 2π(7) * 0.50 = 22.0m/s
For wave B, max. particle speed = 2π(3.5) * 0.25 = 5.5m/s