Apr 24,2023
What is the resonant frequency and its calculation formula?
Resonant frequency is the frequency at which an object or system vibrates with maximum amplitude when it is externally excited. The resonant frequency is usually represented by the symbol f, and the unit is Hertz (Hz).
The formula for calculating the resonant frequency varies with different objects or systems. Here are the resonant frequency formulas for some common objects or systems:
Simple spring pendulum system: f = 1 / (2π) × √(k/m), where k is the spring constant and m is the mass of the system.
Simple pendulum system: f = 1 / (2π) × √(g/L), where g is the acceleration due to gravity and L is the length of the pendulum.
Mechanical resonance system: f = 1 / (2π) × √(k/m), where k is the elastic constant of the system and m is the total mass of the system.
LC oscillator circuit: f = 1 / (2π) × √(1/(LC)), where L is the inductor and C is the capacitor.
These formulas can be used to calculate the resonant frequency of a particular object or system and to design the best control method or usage.
