1. What is the Amplitude of Vibration?

The Amplitude of Vibration is the maximum displacement of a particle from its mean position during vibration. It represents the greatest distance that a wave moves up and down from its equilibrium position.

2. How Does the Calculator Work?

The calculator uses the amplitude formula:

Where:

• \( A \) — Amplitude of Vibration (meters)
• \( v \) — Velocity of Particle (m/s)
• \( f \) — Frequency of Vibration (Hz)
• \( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: The formula calculates amplitude by dividing the particle velocity by the product of 2π and the vibration frequency.

3. Importance of Amplitude Calculation

Details: Calculating vibration amplitude is crucial for understanding wave behavior, analyzing mechanical vibrations, designing vibration control systems, and studying wave propagation in various media.

4. Using the Calculator

Tips: Enter velocity in meters per second and frequency in hertz. 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: Velocity should be in meters per second (m/s) and frequency in hertz (Hz) for the result in meters.

Q2: Can this formula be used for all types of vibrations?
A: This formula applies specifically to simple harmonic motion where the relationship between velocity and amplitude follows this linear relationship.

Q3: What is the relationship between amplitude and velocity?
A: For a given frequency, amplitude is directly proportional to velocity - higher velocity results in greater amplitude.

Q4: How does frequency affect the amplitude calculation?
A: Higher frequencies result in smaller amplitudes for the same velocity, as they are inversely proportional in this relationship.

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