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  2. Aircraft flight dynamics - Wikipedia

    en.wikipedia.org/wiki/Aircraft_flight_dynamics

    angle of attack α: angle between the x w,y w-plane and the aircraft longitudinal axis and, among other things, is an important variable in determining the magnitude of the force of lift; When performing the rotations described earlier to obtain the body frame from the Earth frame, there is this analogy between angles: β, ψ (sideslip vs yaw)

  3. Helicopter height–velocity diagram - Wikipedia

    en.wikipedia.org/wiki/Helicopter_height...

    The H/V curve also contains a take-off profile, indicating how a pilot can start from 0 height and 0 speed, and safely traverse to cruise. At low heights with low airspeed, such as a hover taxi, the pilot can simply cushion the landing with collective by converting rotational inertia into lift. Conversely, a complete power loss, and resultant ...

  4. Spherical cap - Wikipedia

    en.wikipedia.org/wiki/Spherical_cap

    In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane. If the plane passes through the center of the sphere (forming a great circle ), so that the height of the cap is equal to the radius of the sphere, the spherical ...

  5. Metacentric height - Wikipedia

    en.wikipedia.org/wiki/Metacentric_height

    Beyond that range, the stability of the vessel is dominated by what is known as a righting moment. Depending on the geometry of the hull, naval architects must iteratively calculate the center of buoyancy at increasing angles of heel. They then calculate the righting moment at this angle, which is determined using the equation:

  6. Projectile motion - Wikipedia

    en.wikipedia.org/wiki/Projectile_motion

    The two roots of the equation correspond to the two possible launch angles, so long as they aren't imaginary, in which case the initial speed is not great enough to reach the point (x,y) selected. This formula allows one to find the angle of launch needed without the restriction of =.

  7. Mathematical discussion of rangekeeping - Wikipedia

    en.wikipedia.org/wiki/Mathematical_discussion_of...

    This illustration shows how the Imperial Japanese Navy used the measurement of the angle subtended by a ship to estimate the ship's angle on the bow. The target course was the most difficult piece of target data to obtain. In many cases, instead of measuring target course many systems measured a related quantity called angle on the bow. Angle ...

  8. Piston motion equations - Wikipedia

    en.wikipedia.org/wiki/Piston_motion_equations

    For rod length 6" and crank radius 2" (as shown in the example graph below), numerically solving the acceleration zero-crossings finds the velocity maxima/minima to be at crank angles of ±73.17530°. Then, using the triangle law of sines, it is found that the rod-vertical angle is 18.60639° and the crank-rod angle is 88.21832°. Clearly, in ...

  9. Takeoff - Wikipedia

    en.wikipedia.org/wiki/Takeoff

    An F/A-18 taking off from an aircraft carrier An Embraer E175 taking off. Takeoff is the phase of flight in which an aerospace vehicle leaves the ground and becomes airborne. For aircraft traveling vertically, this is known as liftoff.