1. What is Amplitude in SHM?

The amplitude (A) in simple harmonic motion is the maximum displacement from the equilibrium position. It represents the extent of oscillation and is a key parameter in describing periodic motion.

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: The formula combines the displacement and velocity terms to determine the maximum extent of oscillation.

3. Importance of Amplitude Calculation

Details: Amplitude is crucial for understanding the energy in oscillatory systems, predicting motion characteristics, and designing mechanical systems.

4. Using the Calculator

Tips: Enter displacement in meters, velocity in m/s, and angular frequency in rad/s. Angular frequency must be non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between amplitude and displacement?
A: Displacement is the current position from equilibrium, while amplitude is the maximum possible displacement.

Q2: How does amplitude relate to energy in SHM?
A: Total mechanical energy in SHM is proportional to the square of the amplitude (E ∝ A²).

Q3: Can amplitude be negative?
A: No, amplitude is always a positive quantity representing maximum displacement magnitude.

Q4: What if angular frequency is zero?
A: The calculation becomes undefined as it would represent non-oscillatory motion.

Q5: How does amplitude affect period in SHM?
A: In ideal SHM, period is independent of amplitude (isochronous motion).