Speed of Sound in Different Media
Learning Objectives
- Students will be able to calculate and compare speed of sound in different media
- Students will be able to explain why sound travels at different speeds in different materials
- Students will be able to solve problems involving Mach number and supersonic speeds
Core Concepts
- speed_in_gas
- speed_in_liquid
- speed_in_solid
- molecular_interactions
- mach_number
- supersonic_speed
Formulas
$$v_{sound} \approx 331 + 0.6t$$
Speed of sound in air at temperature t (°C)
$$M = \frac{v_{object}}{v_{sound}}$$
Mach number relates object speed to sound speed
Units
| meters per second | m/s |
| mach number | Ma |
Interesting Fact
Speed of sound increases with temperature because warmer molecules move faster; at 0°C sound is ~331 m/s, at 20°C it's ~343 m/s
Key Scientist
Ernst Mach
Studied supersonic motion and the Mach number is named after him
Ancient Wisdom
The sound barrier represents human limitations; exceeding it symbolizes transcendence, much as spiritual practice transcends ordinary consciousness.
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