Frequency Calculator
Calculate wave frequency from period, wavelength, and velocity with precise physics formulas
Calculate Wave Frequency
Formula: f = 1/T
Frequency Results
Period: 0.000000000 s
Wavelength: 0.000000 m
Wave Velocity: 29,97,92,458 m/s
Photon Energy: 0.000e+0 J
Frequency Formulas
Example Calculations
Example 1: From Period
Given: Period T = 0.25 seconds
Formula: f = 1/T
Calculation: f = 1/0.25 = 4 Hz
Result: Frequency = 4 Hz
Example 2: From Wavelength
Given: Sound wave, λ = 8 m, v = 320 m/s
Formula: f = v/λ
Calculation: f = 320/8 = 40 Hz
Result: Frequency = 40 Hz
Example 3: Light Wave
Given: Red light, λ = 700 nm, c = 3×10⁸ m/s
Calculation: f = (3×10⁸)/(700×10⁻⁹) = 4.29×10¹⁴ Hz
Result: Frequency = 429 THz
Electromagnetic Spectrum
Radio Waves
3 Hz - 300 MHz
Microwaves
300 MHz - 300 GHz
Infrared
300 GHz - 430 THz
Visible Light
430 - 750 THz
Ultraviolet
750 THz - 30 PHz
X-rays
30 PHz - 30 EHz
Gamma Rays
30 EHz and above
Common Frequencies
Frequency Facts
Higher frequency = shorter wavelength
Frequency and period are inversely related
Light frequency determines color
Human hearing: 20 Hz - 20 kHz
Higher frequency = higher energy
Understanding Wave Frequency
What is Frequency?
Frequency is the number of complete wave cycles that occur in one second. It measures how often the wave oscillates or repeats itself. A higher frequency means more cycles per second, while a lower frequency means fewer cycles per second.
Frequency Units
- •Hertz (Hz): Basic unit (1 cycle/second)
- •Kilohertz (kHz): 1,000 Hz
- •Megahertz (MHz): 1,000,000 Hz
- •Gigahertz (GHz): 1,000,000,000 Hz
Frequency Formulas
f = 1/T
f = v/λ
- f: Frequency (Hz)
- T: Period (seconds)
- v: Wave velocity (m/s)
- λ: Wavelength (meters)
Key Relationship: As frequency increases, wavelength decreases (for waves traveling at the same speed). This inverse relationship is fundamental to wave physics.
Applications & Importance
Communications
Radio, TV, WiFi, and cellular networks all use specific frequency bands for signal transmission and reception.
Medicine
Ultrasound imaging, MRI machines, and therapeutic treatments utilize precise frequencies for diagnosis and treatment.
Music & Audio
Musical notes, audio equipment, and sound processing all depend on understanding and manipulating frequencies.