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  1. 4 dni temu · Archimedes’ principle is very useful for calculating the volume of an object that does not have a regular shape. The oddly shaped object can be submerged, and the volume of the fluid displaced is equal to the volume of the object. It can also be used in calculating the density or specific gravity of an object.

  2. 3 dni temu · The formula for calculating the density of an object using water displacement is given by: \[ D = \frac{m}{FW - IW} \] where: \(D\) is the density in grams per cubic centimeter (g/cm³), \(m\) is the mass of the object in grams, \(FW\) is the final water level in milliliters (mL), \(IW\) is the initial water level in milliliters (mL). Example ...

  3. Comparing Equations \ref{eq:pde_25} and \ref{eq:pde_26}, we see that in order to calculate the \(b_n\) coefficients of Equation \ref{eq:pde_22}, we need to create an odd extension of \(y_1\) with period \(2l\). Let’s see how this works with an example. Let’s assume that the initial displacement is given by the function shown in the figure:

  4. 5 dni temu · However, in practical applications, it may be inconvenient and difficult to obtain the actual dimensions of the to-be-measured object. In this situation, if the image sensor plane is parallel to the object surface of the structure, as shown in Figure 1; meanwhile, the horizontal distance between the optical center O and the object surface, denoted by D, can be obtained by the distance ...

  5. 5 dni temu · Due to natural sedimentation and artificial filling, slopes exhibit heterogeneity in the form of multi-layer soils, namely, layered slopes. Compared with homogenous slopes, the failure mechanism of layered slopes is more complex owing to the different shear strengths of each soil layer. Therefore, it is of great importance to gain insight into the stability of layered slopes. In this study ...

  6. 14 cze 2024 · Mathematical formulation. Equations governing a linear elastic boundary value problem are based on three tensor partial differential equations for the balance of linear momentum and six infinitesimal strain - displacement relations. The system of differential equations is completed by a set of linear algebraic constitutive relations .

  7. 2 dni temu · The formula to calculate casing capacity (annular volume) is given by: \ [ AC = \frac { (Dh^2 - ODc^2)} {1029.4} \times L \] Where: \ (AC\) is the annular capacity or casing capacity in barrels (bbls), \ (Dh\) is the hole diameter in inches (in), \ (ODc\) is the casing or pipe outer diameter in inches (in), \ (L\) is the length in feet (ft).