1. What is Natural Frequency?

The natural frequency is the frequency at which a system oscillates when not subjected to a continuous or external force. It's a fundamental property of mechanical systems, especially in vibration analysis.

2. How Does the Calculator Work?

The calculator uses the natural frequency equation:

Where:

• \( f \) — Natural frequency (Hz)
• \( k \) — Spring constant (N/m)
• \( m \) — Mass (kg)
• \( \pi \) — Mathematical constant (~3.14159)

Explanation: The equation shows that natural frequency increases with higher spring stiffness and decreases with larger mass.

3. Importance of Natural Frequency

Details: Knowing the natural frequency is crucial for designing structures and mechanical systems to avoid resonance, which can cause excessive vibrations or even structural failure.

4. Using the Calculator

Tips: Enter spring constant in N/m and mass in kg. Both values must be positive numbers. The result will be in Hertz (Hz).

5. Frequently Asked Questions (FAQ)

Q1: What is resonance?
A: Resonance occurs when a system is driven at its natural frequency, causing large amplitude oscillations.

Q2: How does damping affect natural frequency?
A: Damping slightly reduces the actual oscillation frequency from the natural frequency, especially in heavily damped systems.

Q3: Can this be used for any oscillating system?
A: This equation is for simple harmonic oscillators. More complex systems may require different calculations.

Q4: What are typical natural frequency values?
A: Values vary widely - from fractions of Hz for large structures to kHz for small mechanical components.

Q5: How is this related to angular frequency?
A: Angular frequency (ω) is related by ω = 2πf, and is measured in radians per second.