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Miller twist rule is a mathematical formula derived by American physical chemist and historian of science Donald G. Miller (1927-2012) to determine the rate of twist to apply to a given bullet to provide optimum stability using a rifled barrel. [1]
Fig. 1: Critical stress vs slenderness ratio for steel, for E = 200 GPa, yield strength = 240 MPa. Euler's critical load or Euler's buckling load is the compressive load at which a slender column will suddenly bend or buckle. It is given by the formula: [1] = where
In addition to determining the stability of the system, the root locus can be used to design the damping ratio and natural frequency (ω n) of a feedback system. Lines of constant damping ratio can be drawn radially from the origin and lines of constant natural frequency can be drawn as arccosine whose center points coincide with the origin.
Since absolute aggregation rates are difficult to measure, one often refers to the dimensionless stability ratio W, defined as = where k fast is the aggregation rate coefficient in the fast regime, and k the coefficient at the conditions of interest. The stability ratio is close to unity in the fast regime, increases in the slow regime, and ...
The ratio of the stepwise stability constants can be calculated on this basis, but experimental ratios are not exactly the same because ΔH ⊖ is not necessarily the same for each step. [14] Exceptions to this rule are discussed below, in #chelate effect and #Geometrical factors.
The stability of granular material in flow can be determined by the Shields formula or the Izbash formula. The first is more suitable for fine grain material (such as sand and gravel), while the Izbash formula is more suitable for larger stone. The Shields formula was developed by Albert F. Shields (1908-1974). In fact, the Shields method ...
Capital adequacy ratio is the ratio which determines the bank's capacity to meet the time liabilities and other risks such as credit risk, operational risk etc. In the most simple formulation, a bank's capital is the "cushion" for potential losses, and protects the bank's depositors and other lenders.
For this reason, the valley of stability does not follow the line Z = N for A larger than 40 (Z = 20 is the element calcium). [3] Neutron number increases along the line of beta stability at a faster rate than atomic number. The line of beta stability follows a particular curve of neutron–proton ratio, corresponding to the most stable ...