Oscillations and Waves > Forced and damped oscillations > Problem 3.5.39

Statement

A sapphire monocrystal with quality factor and natural frequency s can be used for resonance detection of small forcing forces. How long (in order of magnitude) should we wait for the monocrystal to establish oscillations?

Solution

From and s, we have s. The amplitude of the transient response decays according to the exponential , which becomes less than % for . Thus, the steady-state response is firmly established after roughly s. An order-of-magnitude estimate is s.

Answer

s