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  2. Capstan equation - Wikipedia

    en.wikipedia.org/wiki/Capstan_equation

    where is the applied tension on the line, is the resulting force exerted at the other side of the capstan, is the coefficient of friction between the rope and capstan materials, and is the total angle swept by all turns of the rope, measured in radians (i.e., with one full turn the angle =).

  3. Tape correction (surveying) - Wikipedia

    en.wikipedia.org/wiki/Tape_correction_(surveying)

    P is the tension or pull applied to the tape; newtons. A tape held in catenary will record a value larger than the correct measurement. Thus, the correction C s {\displaystyle C_{s}} is subtracted from L {\displaystyle L} to obtain the corrected distance:

  4. Mathematical discussion of rangekeeping - Wikipedia

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

    The observer would first use this device to measure the angular width of the target. Knowing the angular width of the target, the range to the target, and the known length of that ship class, the angle on the bow of the target can be computed using equations shown in Figure 2. Human observers were required to determine the angle on the bow.

  5. Belt friction - Wikipedia

    en.wikipedia.org/wiki/Belt_friction

    The equation used to model belt friction is, assuming the belt has no mass and its material is a fixed composition: [2] = where is the tension of the pulling side, is the tension of the resisting side, is the static friction coefficient, which has no units, and is the angle, in radians, formed by the first and last spots the belt touches the pulley, with the vertex at the center of the pulley.

  6. Piston motion equations - Wikipedia

    en.wikipedia.org/wiki/Piston_motion_equations

    Clearly, in this example, the angle between the crank and the rod is not a right angle. Summing the angles of the triangle 88.21832° + 18.60639° + 73.17530° gives 180.00000°. A single counter-example is sufficient to disprove the statement "velocity maxima/minima occur when crank makes a right angle with rod".

  7. Tractrix - Wikipedia

    en.wikipedia.org/wiki/Tractrix

    In geometry, a tractrix (from Latin trahere ' to pull, drag '; plural: tractrices) is the curve along which an object moves, under the influence of friction, when pulled on a horizontal plane by a line segment attached to a pulling point (the tractor) that moves at a right angle to the initial line between the object and the puller at an ...

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