1. What is Amplitude in Simple Harmonic Motion?

Amplitude in Simple Harmonic Motion (SHM) is the maximum displacement from the equilibrium position. It represents the extent of oscillation and is a crucial parameter in describing periodic motion systems.

2. How Does the Calculator Work?

The calculator uses the amplitude formula:

Where:

• \( A \) — Amplitude (m)
• \( x \) — Displacement from equilibrium (m)
• \( v \) — Velocity at displacement x (m/s)
• \( \omega \) — Angular frequency (rad/s)

Explanation: This formula calculates the maximum amplitude of oscillation based on the current displacement, velocity, and the system's angular frequency.

3. Importance of Amplitude Calculation

Details: Calculating amplitude is essential for understanding the energy of oscillating systems, predicting motion behavior, and designing mechanical and electrical systems that involve periodic motion.

4. Using the Calculator

Tips: Enter displacement in meters, velocity in m/s, and angular frequency in rad/s. Angular frequency must be greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between amplitude and energy in SHM?
A: The total energy in SHM is proportional to the square of the amplitude (\(E \propto A^2\)).

Q2: Can amplitude be negative?
A: No, amplitude is always a positive quantity representing the maximum displacement from equilibrium.

Q3: How does amplitude affect the period of oscillation?
A: In ideal SHM, the period is independent of amplitude (isochronous motion).

Q4: What's the difference between amplitude and displacement?
A: Displacement is the current position from equilibrium, while amplitude is the maximum possible displacement.

Q5: When is this formula not applicable?
A: This formula applies specifically to simple harmonic motion and may not be accurate for damped or driven oscillations.