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  2. Angular distance - Wikipedia

    en.wikipedia.org/wiki/Angular_distance

    Angular distance appears in mathematics (in particular geometry and trigonometry) and all natural sciences (e.g., kinematics, astronomy, and geophysics). In the classical mechanics of rotating objects, it appears alongside angular velocity, angular acceleration, angular momentum, moment of inertia and torque.

  3. 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 ...

  4. Angular acceleration - Wikipedia

    en.wikipedia.org/wiki/Angular_acceleration

    In physics, angular acceleration (symbol α, alpha) is the time rate of change of angular velocity.Following the two types of angular velocity, spin angular velocity and orbital angular velocity, the respective types of angular acceleration are: spin angular acceleration, involving a rigid body about an axis of rotation intersecting the body's centroid; and orbital angular acceleration ...

  5. Angular velocity - Wikipedia

    en.wikipedia.org/wiki/Angular_velocity

    The angular velocity of the particle at P with respect to the origin O is determined by the perpendicular component of the velocity vector v.. In the simplest case of circular motion at radius , with position given by the angular displacement () from the x-axis, the orbital angular velocity is the rate of change of angle with respect to time: =.

  6. Range of a projectile - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_projectile

    d is the total horizontal distance travelled by the projectile. v is the velocity at which the projectile is launched; g is the gravitational acceleration—usually taken to be 9.81 m/s 2 (32 f/s 2) near the Earth's surface; θ is the angle at which the projectile is launched; y 0 is the initial height of the projectile

  7. Proper motion - Wikipedia

    en.wikipedia.org/wiki/Proper_motion

    Proper motion may alternatively be defined by the angular changes per year in the star's right ascension (μ α) and declination (μ δ) with respect to a constant epoch. The components of proper motion by convention are arrived at as follows. Suppose an object moves from coordinates (α 1, δ 1) to coordinates (α 2, δ 2) in a time Δt.

  8. Circular motion - Wikipedia

    en.wikipedia.org/wiki/Circular_motion

    In this case, the three-acceleration vector is perpendicular to the three-velocity vector, = and the square of proper acceleration, expressed as a scalar invariant, the same in all reference frames, = + /, becomes the expression for circular motion, =. or, taking the positive square root and using the three-acceleration, we arrive at the proper ...

  9. Angular frequency - Wikipedia

    en.wikipedia.org/wiki/Angular_frequency

    A sphere rotating around an axis. Points farther from the axis move faster, satisfying ω = v / r.. In physics, angular frequency (symbol ω), also called angular speed and angular rate, is a scalar measure of the angle rate (the angle per unit time) or the temporal rate of change of the phase argument of a sinusoidal waveform or sine function (for example, in oscillations and waves).