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  2. Angular momentum - Wikipedia

    en.wikipedia.org/wiki/Angular_momentum

    The angular momentum of m is proportional to the perpendicular component v ⊥ of the velocity, or equivalently, to the perpendicular distance r ⊥ from the origin. Angular momentum is a vector quantity (more precisely, a pseudovector) that represents the product of a body's rotational inertia and rotational velocity (in radians/sec) about a ...

  3. Euler's pump and turbine equation - Wikipedia

    en.wikipedia.org/wiki/Euler's_pump_and_turbine...

    Accordingly, the change of the angular momentum is equal to the sum of the external moments. The variation of angular momentum ρ ⋅ Q ⋅ r ⋅ c u {\displaystyle \rho \cdot Q\cdot r\cdot c_{u}} at inlet and outlet, an external torque M {\displaystyle M} and friction moments due to shear stresses M τ {\displaystyle M_{\tau }} act on an ...

  4. Euler's laws of motion - Wikipedia

    en.wikipedia.org/wiki/Euler's_laws_of_motion

    Euler's second law states that the rate of change of angular momentum L about a point that is fixed in an inertial reference frame (often the center of mass of the body), is equal to the sum of the external moments of force acting on that body M about that point: [1] [4] [5]

  5. Angular mechanics - Wikipedia

    en.wikipedia.org/wiki/Angular_mechanics

    A diagram of angular momentum. Showing angular velocity (Scalar) and radius. In physics, angular mechanics is a field of mechanics which studies rotational movement. It studies things such as angular momentum, angular velocity, and torque. It also studies more advanced things such as Coriolis force [1] and Angular aerodynamics.

  6. List of equations in classical mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    Left: intrinsic "spin" angular momentum S is really orbital angular momentum of the object at every point, right: extrinsic orbital angular momentum L about an axis, top: the moment of inertia tensor I and angular velocity ω (L is not always parallel to ω) [6] bottom: momentum p and its radial position r from the axis.

  7. Euler's equations (rigid body dynamics) - Wikipedia

    en.wikipedia.org/wiki/Euler's_equations_(rigid...

    Also in some frames not tied to the body can it be possible to obtain such simple (diagonal tensor) equations for the rate of change of the angular momentum. Then ω must be the angular velocity for rotation of that frames axes instead of the rotation of the body. It is however still required that the chosen axes are still principal axes of ...

  8. Absolute angular momentum - Wikipedia

    en.wikipedia.org/wiki/Absolute_angular_momentum

    Absolute angular momentum sums the angular momentum of a particle or fluid parcel in a relative coordinate system and the angular momentum of that relative coordinate system. Meteorologists typically express the three vector components of velocity v = ( u , v , w ) (eastward, northward, and upward).

  9. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.