Wave Speed
Learning Objectives
- Students will be able to calculate wave speed using v = λf
- Students will be able to explain how wave speed depends on the medium
- Students will be able to solve problems involving wave speed, wavelength, and frequency
Core Concepts
- wave_speed
- medium_properties
- tension
- density
- elasticity
Formulas
$$v = \lambda f$$
Wave speed equals wavelength times frequency
$$v = \sqrt{\frac{T}{\mu}}$$
Speed on a string (T is tension, μ is mass per unit length)
$$v = \sqrt{\frac{B}{\rho}}$$
Speed in a medium (B is bulk modulus, ρ is density)
Units
| meters per second | m/s |
Interesting Fact
Seismic waves travel at different speeds in different rock layers, creating echoes (reflections) used to map Earth's interior
Key Scientist
Isaac Newton
Analyzed wave motion and wave speed in different media
Modern Research
Seismic wave analysis reveals Earth's internal structure; understanding wave speeds in various media is crucial for ultrasound and sonar technology.
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