Final answer:
The oscillation frequency during the transient condition is the natural frequency of the system, calculable for mechanical oscillators like shock absorbers using the formula f = 1 / (2π) * √(k / m), or for an LC circuit with ω= 1 / √ (L * C) for angular frequency.
Step-by-step explanation:
The oscillation frequency at the beginning of the step response during the transient condition is known as the natural frequency of the system. In the context of a mechanical oscillator, such as bad shock absorbers in a car, the oscillation frequency can be determined using the formula for a simple harmonic oscillator:
f = 1 / (2π) * √(k / m
where ‘f’ is the frequency, ‘k’ is the force constant of the spring, and ‘m’ is the mass of the system undergoing oscillation. For an electrical LC circuit, the angular frequency during the transient condition is given by:
ω= 1 / √ (L * C)
Here, ω is the angular frequency, ‘L’ is the inductance, and ‘C’ is the capacitance of the circuit. Once the transients die out, the system settles into a steady-state oscillation at this natural frequency.