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The ratio of the acceleration and the curvature leads to a very important relationship in physics known as the linear wave equation. Taking the ratio and using the equation v = \(\frac{\omega}{k}\) yields the linear wave equation (also known simply as the wave equation or the equation of a vibrating string),
Definition: Drag Force. Drag force FD F D is proportional to the square of the speed of the object. Mathematically, FD = 1 2CρAv2, (6.7.2) (6.7.2) F D = 1 2 C ρ A v 2, where C C is the drag coefficient, A A is the area of the object facing the fluid, and ρ ρ is the density of the fluid.
12 Ιουλ 2020 · The velocity ratio of a machine is defined as the ratio of the velocity of the effort to the velocity of the load. In other words, it is the ratio of the displacement of the effort to the displacement of the load .
Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] = LT −1, [a] = LT −2, and [t] = T. Determine whether each of the following equations is dimensionally consistent: s = vt + 0.5at 2; s = vt 2 + 0.5at; and; v = sin (\(\frac{at^{2}}{s}\)). Strategy
The dimension of any physical quantity expresses its dependence on the base quantities as a product of symbols (or powers of symbols) representing the base quantities. (Figure) lists the base quantities and the symbols used for their dimension.
We can reduce the number of independent parameters in a calculation by re-expressing the problem in terms of relations between dimen-sionless quantities (pure numbers). Thus, consider the problem of a physical pendu-lum, whose equation of motion in the absence of driving torques is.
The Copenhagen Interpretation. Bohr’s interpretation of the wave function consisted of 3 principles: The uncertainty principle of Heisenberg. The complementarity principle of Bohr. The statistical interpretation of Born, based on probabilities determined by the wave function.
