1. What is Amplitude of Vibration?

Amplitude of Vibration is the greatest distance that a wave, especially a sound or radio wave, moves up and down. It represents the maximum displacement from the equilibrium position in oscillatory motion.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( A \) — Amplitude of Vibration (m)
• \( a \) — Acceleration of Particles (m/s²)
• \( f \) — Frequency of Vibration (Hz)
• \( \pi \) — Archimedes' constant (≈3.14159)

Explanation: This formula relates the amplitude of vibration to the acceleration of particles and the frequency of vibration, showing how amplitude decreases with increasing frequency squared.

3. Importance of Amplitude Calculation

Details: Calculating vibration amplitude is crucial in mechanical engineering, structural analysis, and vibration control. It helps determine the maximum displacement in oscillating systems and assess potential damage from vibrations.

4. Using the Calculator

Tips: Enter acceleration in m/s² and frequency in Hz. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for input values?
A: Acceleration should be in meters per second squared (m/s²) and frequency in Hertz (Hz).

Q2: Can this formula be used for all types of vibrations?
A: This formula is specifically for simple harmonic motion where acceleration is proportional to displacement.

Q3: How does frequency affect amplitude?
A: Amplitude decreases with the square of frequency - higher frequencies result in significantly smaller amplitudes for the same acceleration.

Q4: What are typical amplitude values in practical applications?
A: Vibration amplitudes can range from micrometers in precision instruments to several centimeters in large mechanical systems.

Q5: Are there limitations to this formula?
A: This formula assumes ideal simple harmonic motion and may not account for damping, non-linear effects, or complex vibration patterns.