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  2. Tsiolkovsky rocket equation - Wikipedia

    en.wikipedia.org/wiki/Tsiolkovsky_rocket_equation

    A rocket's required mass ratio as a function of effective exhaust velocity ratio. The classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket: a device that can apply acceleration to itself using thrust by expelling part of its mass with high velocity and can thereby move due to the ...

  3. Characteristic velocity - Wikipedia

    en.wikipedia.org/wiki/Characteristic_velocity

    Specific impulse and effective exhaust velocity are dependent on the nozzle design unlike the characteristic velocity, explaining why C-star is an important value when comparing different propulsion system efficiencies. c* can be useful when comparing actual combustion performance to theoretical performance in order to determine how completely ...

  4. Dunkerley's method - Wikipedia

    en.wikipedia.org/wiki/Dunkerley's_Method

    The whirling frequency of a symmetric cross section of a given length between two points is given by: = where: E = Young's modulus, I = second moment of area, m = mass of the shaft, L = length of the shaft between points.

  5. Gurney equations - Wikipedia

    en.wikipedia.org/wiki/Gurney_equations

    As a simple approximate equation, the physical value of is usually very close to 1/3 of the detonation velocity of the explosive material for standard explosives. [1] For a typical set of military explosives, the value of D 2 E {\displaystyle {\frac {D}{\sqrt {2E}}}} ranges from between 2.32 for Tritonal and 3.16 for PAX-29n.

  6. Protonation - Wikipedia

    en.wikipedia.org/wiki/Protonation

    In chemistry, protonation (or hydronation) is the adding of a proton (or hydron, or hydrogen cation), usually denoted by H +, to an atom, molecule, or ion, forming a conjugate acid. [1] (The complementary process, when a proton is removed from a Brønsted–Lowry acid, is deprotonation.) Some examples include The protonation of water by ...

  7. Relativistic rocket - Wikipedia

    en.wikipedia.org/wiki/Relativistic_rocket

    In the relativistic case, the equation is still valid if is the acceleration in the rocket's reference frame and is the rocket's proper time because at velocity 0 the relationship between force and acceleration is the same as in the classical case. Solving this equation for the ratio of initial mass to final mass gives

  8. Electrical mobility - Wikipedia

    en.wikipedia.org/wiki/Electrical_mobility

    For example, the mobility of the sodium ion (Na +) in water at 25 °C is 5.19 × 10 −8 m 2 /(V·s). [1] This means that a sodium ion in an electric field of 1 V/m would have an average drift velocity of 5.19 × 10 −8 m/s. Such values can be obtained from measurements of ionic conductivity in solution.

  9. Torricelli's equation - Wikipedia

    en.wikipedia.org/wiki/Torricelli's_equation

    In physics, Torricelli's equation, or Torricelli's formula, is an equation created by Evangelista Torricelli to find the final velocity of a moving object with constant acceleration along an axis (for example, the x axis) without having a known time interval. The equation itself is: [1] = + where