1. What is the Frequency Equation?

The frequency equation (f = v/λ) relates the frequency of a wave to its velocity and wavelength. This fundamental physics equation is used across many fields including acoustics, electromagnetics, and wave mechanics.

2. How Does the Calculator Work?

The calculator uses the frequency equation:

Where:

• \( f \) — Frequency (Hz)
• \( v \) — Wave velocity (m/s)
• \( \lambda \) — Wavelength (m)

Explanation: The equation shows that frequency is inversely proportional to wavelength when velocity is constant.

3. Importance of Frequency Calculation

Details: Calculating frequency is essential for designing communication systems, analyzing sound waves, understanding electromagnetic radiation, and many other wave-related phenomena.

4. Using the Calculator

Tips: Enter velocity in meters per second (m/s) and wavelength in meters (m). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are typical units for frequency?
A: The SI unit is Hertz (Hz), which equals cycles per second. For higher frequencies, kHz, MHz, or GHz may be used.

Q2: How does this apply to sound waves?
A: For sound in air (v ≈ 343 m/s at 20°C), frequency determines pitch. Human hearing range is about 20 Hz to 20 kHz.

Q3: What about electromagnetic waves?
A: For light (v ≈ 3×10⁸ m/s in vacuum), frequency determines color in visible spectrum (400-790 THz).

Q4: Can this be used for water waves?
A: Yes, but water wave velocity depends on depth and wavelength (dispersive medium).

Q5: What if I know frequency and want wavelength?
A: Rearrange the equation: λ = v/f. You can run the calculation in reverse.