Striking the top of a liquid-filled bottle can shatter the bottom. An intuitive interpretation of this event might label an impulsive force as the culprit in this fracturing phenomenon. However, highspeed photography reveals the formation and collapse of tiny bubbles near the bottom before fracture. This observation indicates that the damaging phenomenon of cavitation is at fault. Cavitation is well known for causing damage in various applications including pipes and ship propellers, making accurate prediction of cavitation onset vital in several industries. However, the conventional cavitation number as a function of velocity incorrectly predicts the cavitation onset caused by acceleration. This unexplained discrepancy leads to the derivation of an alternative dimensionless term from the equation of motion, predicting cavitation as a function of acceleration and fluid depth rather than velocity. Two independent research groups in different countries have tested this theory; separate series of experiments confirm that an alternative cavitation number, presented in this paper, defines the universal criteria for the onset of acceleration-induced cavitation. . More commonly, sudden valve closing inside of a water pipe can cause a loud hammering sound due to the collapse of cavitation, resulting in damage on the inner walls (4). The effects of blast and impact that cause traumatic brain injury from cavitation have also been investigated (5, 6). To avoid cavitation-induced damage (7-9), it is crucial to predict the onset of cavitation.Cavitation onset in a high-speed flow [e.g., flow around propellers and in pumps (10)] can be characterized using a variant of the Euler number known as the cavitation number (11,12). The cavitation number is typically of the formwhere pr is the reference pressure, pv is the liquid vapor pressure, ρ is the liquid density, and v is the local velocity (13-16). This cavitation number is a ratio of the pressure difference to the pressure drop due to the fluid momentum. The large momentum of the fluid dominates when C 1, inducing cavitation. However, when C 1, the pressure at all locations is above the threshold for bubble formation, making cavitation unlikely. Practically, several advanced coefficients have been proposed to estimate cavitation inception for various geometries (16).However, the conventional cavitation number (C ) could incorrectly predict the cavitation onset in a liquid accelerated in a short amount of time. For example, the cavitation event that breaks the bottle in Fig. 1A has a maximum velocity of v ≈ 2 m/s, which yields the cavitation number C ∼ O(10 2 ). For the falling tube case in Fig. 1B a similar calculation leads to C ∼ O(10 2 ) (Table S1), whereas the conventional cavitation number requires C 1 (16). Thus, a new cavitation number is required to define the physics of cavitation onset.In the past, researchers have conducted similar experiments with a bullet-piston device to predict the tensile strength of a liquid, including pure water (17). They reported that the ...