How is the 'Maximum Allowable Rotational Speed' (Centrifugal Capacity) of a spiral retaining ring determined?

For a spiral retaining ring installed on a shaft, centrifugal force tends to expand the ring, potentially lifting it out of the groove. The critical speed $V$ at which the ring begins to lose contact is calculated using: $V = \sqrt{\frac{4 E g (D_g - D_i)}{\rho D_m^3}}$, where $E$ is the modulus, $g$ is gravity, $D_g$ is the groove diameter, $D_i$ is the free inside diameter, $\rho$ is the material density, and $D_m$ is the mean diameter. For high-speed applications like turbochargers, designers must use a 'Self-Locking' feature. This involves a tab-and-slot mechanism that mechanically prevents the ring from expanding. Without this, the ring could fail at speeds exceeding $30,000$ RPM, even if the material is $17-7PH$ CH900.