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  2. Capstan equation - Wikipedia

    en.wikipedia.org/wiki/Capstan_equation

    The applied tension () is a function of the total angle subtended by the rope on the capstan. On the verge of slipping, this is also the frictional force, which is by definition μ {\textstyle \mu } times the normal force R ( φ ) {\displaystyle R(\varphi )} .

  3. List of equations in fluid mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in_fluid...

    Right: The reduction in flux passing through a surface can be visualized by reduction in F or dS equivalently (resolved into components, θ is angle to normal n). F•dS is the component of flux passing through the surface, multiplied by the area of the surface (see dot product). For this reason flux represents physically a flow per unit area.

  4. Tension (physics) - Wikipedia

    en.wikipedia.org/wiki/Tension_(physics)

    Tension is the pulling or stretching force transmitted axially along an object such as a string, rope, chain, rod, truss member, or other object, so as to stretch or pull apart the object. In terms of force, it is the opposite of compression. Tension might also be described as the action-reaction pair of forces acting at each end of an object.

  5. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    Trajectory of a particle with initial position vector r 0 and velocity v 0, subject to constant acceleration a, all three quantities in any direction, and the position r(t) and velocity v(t) after time t. The initial position, initial velocity, and acceleration vectors need not be collinear, and the equations of motion take an almost identical ...

  6. Washburn's equation - Wikipedia

    en.wikipedia.org/wiki/Washburn's_equation

    is the angle of the tube with respect to the horizontal axis. ϕ {\displaystyle \phi } is the contact angle of the liquid on the capillary material. Substituting these expressions leads to the first-order differential equation for the distance the fluid penetrates into the tube l {\displaystyle l} :

  7. 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 ±73.17615°. Then, using the triangle law of sines, it is found that the rod-vertical angle is 18.60647° and the crank-rod angle is 88.21738°. Clearly, in ...

  8. Zisman Plot - Wikipedia

    en.wikipedia.org/wiki/Zisman_Plot

    The angle of a drop of the liquid on the solid as seen in Figure 1 degrees or radians 1-cos(θ SL) The y-axis of the Zisman Plot representing wetting unitless γ L: The surface tension of the respective liquid dyne / cm γ C: The critical surface tension of the liquid needed to effectively wet the solid substrate dyne / cm

  9. Contact angle - Wikipedia

    en.wikipedia.org/wiki/Contact_angle

    Static measurements yield values in-between the advancing and receding contact angle depending on deposition parameters (e.g. velocity, angle, and drop size) and drop history (e.g. evaporation from time of deposition). Contact angle hysteresis is defined as θ A – θ R although the term is also used to describe the expression cos θ R – cos ...

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