Calculate the frequency at which a spring oscillates by considering factors such as Young’s modulus, density, and other given values.
The resonance frequency of a spring can be determined using the formula 1/2(√(k/m)). In cases where the mass (m) is unknown, the resonance frequency can be calculated by substituting the mass with the product of density and volume (m = density x volume). This equation incorporates factors such as Young’s modulus, material density, and other provided values to determine the spring resonance frequency.
- fres = Spring Resonant Frequency
- d = Wire Diameter
- D = spring Diameter
- nf = Total Number of Coils
- G = Youngs Modulus of Material
- ρ = Material Density