Wave Properties Calculators
Analyze the key characteristics of wave motion—speed, frequency, period, and wavelength.
Wavelength Calculator
Calculate wavelength (λ) using wave speed and frequency.
Wave Visualization
Frequency Calculator
Calculate frequency (f) using wave speed and wavelength.
Wave Visualization
Wave Speed Calculator
Calculate wave speed (v) using frequency and wavelength.
Wave Visualization
Period Calculator
Calculate period (T) using frequency.
Wave Visualization
Results
Substituted Formula:
λ = v / f = ? m/s / ? Hz = ? m
Example Applications
- FM radio waves (88-108 MHz) have wavelengths of ~2.8-3.4 meters
- Visible light wavelengths range from ~380 nm (violet) to ~740 nm (red)
- Audible sound waves in air range from ~17 mm to ~17 m
Substituted Formula:
f = v / λ = ? m/s / ? m = ? Hz
Example Applications
- Human hearing range: 20 Hz – 20,000 Hz
- Standard musical note A: 440 Hz
- FM radio broadcasting: 88-108 MHz
- Visible light: ~400-790 THz
Substituted Formula:
v = f × λ = ? Hz × ? m = ? m/s
Common Wave Speeds
- Sound in air (20°C): 343 m/s
- Sound in water: 1,480 m/s
- Sound in steel: 5,100 m/s
- Light in vacuum: 299,792,458 m/s
Substituted Formula:
T = 1 / f = 1 / ? Hz = ? s
Example Applications
- A 440 Hz music note has a period of 0.00227 seconds
- A 60 Hz AC power system has a period of 0.01667 seconds
- Human voice fundamental frequency (~85-255 Hz) corresponds to periods of ~0.004-0.012 seconds
Understanding Wave Properties
Key Relationships
- Wave Speed (v): Rate at which a wave travels through a medium, measured in meters per second (m/s).
- Frequency (f): Number of complete wave cycles passing a point per second, measured in hertz (Hz).
- Wavelength (λ): Distance between two consecutive corresponding points on a wave, measured in meters (m).
- Period (T): Time taken to complete one full cycle, measured in seconds (s).
Formula Relationships
- v = f × λ (Wave Speed = Frequency × Wavelength)
- λ = v / f (Wavelength = Wave Speed / Frequency)
- f = v / λ (Frequency = Wave Speed / Wavelength)
- T = 1 / f (Period = 1 / Frequency)
Types of Waves
Mechanical Waves
Require a medium to travel through. Examples include sound waves, water waves, and seismic waves. The wave speed depends on the properties of the medium.
Electromagnetic Waves
Can travel through a vacuum. Examples include light, radio waves, and X-rays. All electromagnetic waves travel at the speed of light (c) in a vacuum.