1. What is the Frequency Equation?

The frequency equation \( f = \frac{v}{\lambda} \) relates the frequency of a sound wave to its speed and wavelength. It's fundamental in acoustics and wave physics.

2. How Does the Calculator Work?

The calculator uses the frequency equation:

Where:

• \( f \) — Frequency (Hz)
• \( v \) — Speed of sound (m/s)
• \( \lambda \) — Wavelength (m)

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

3. Importance of Frequency Calculation

Details: Frequency calculation is essential in audio engineering, musical instrument design, ultrasound imaging, and various acoustic applications.

4. Using the Calculator

Tips: Enter speed of sound in m/s (343 m/s in air at 20°C is common), wavelength in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the speed of sound in different media?
A: Approximately 343 m/s in air (20°C), 1482 m/s in water, and 5120 m/s in iron.

Q2: How does temperature affect the speed of sound?
A: In air, speed increases by about 0.6 m/s per °C increase in temperature.

Q3: What is the human hearing range?
A: Typically 20 Hz to 20,000 Hz, though this decreases with age.

Q4: How is wavelength related to pitch?
A: Shorter wavelengths produce higher frequencies (higher pitch), longer wavelengths produce lower frequencies.

Q5: Can this equation be used for light waves?
A: Yes, but replace speed of sound with speed of light (≈3×10⁸ m/s in vacuum).