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Q: What is a equation for a catenary with a 2?
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What is the formula in calculating catenary?

The general formula of a catenary is y = a*cosh(x/a) = a/2*(ex/a + e-x/a) cosh is the hyperbolic cosine function


How are the catenary arch and parabolic arch different?

A catenary is produced by hanging a chain from two points some distance apart. The equation for a catenary is the hyperbolic cosine. One simple example of a catenary can be found if you look at the power lines running between two poles. A parabola is produced by putting a hanging chain or cable under an equally dispersed load. An example of this can be seen on a suspension bridge, the cable hanging from two towers with the road below hanging from vertical cables attached to the main suspension cables.


What is sag in transmission lines?

Catenary


Expressions used in catenary taping?

5


What is the evolute of a catenary?

The curve given by (t-sinh(t)cosh(t), 2 cosh(t)), t real.


Why catenary important in alignment of turbine?

A catenary is the shape formed by a hanging chain or cable under its own weight. In wind turbine alignment, the catenary is important because it helps to position the turbine blades in a way that maximizes their efficiency in capturing wind energy. By aligning the turbine blades along the catenary curve, the blades can better adapt to changing wind conditions and generate more power.


What is the strongest shape underground Catenary or Hemisphere?

sphere


What is the mathematical term for the St. Louis Arch.?

It is a catenary, as defined by the following mathematical equations: y = cosh(x) or y = (e^x + e^-x)/2 A catenary is the shape which a flexible linear object with constant mass will naturally hang in when it's endpoints are fixed. The classic example is a cable or a chain. Catenary's have a practical application in arch construction because the force of the weight of the higher portions of the arch is always directed into the lower portions of the arch, making it very self supporting. This is why the Arch is constructed as a catenary, and why it is still standing.


What are the similarities between parabola and catenary?

The Catenary and Parabola are different curves that look similar; they are both "U" shaped and symmetrical, increasing infinitely on both sides to a minimum.


What is catenary towing?

A catenary is the curve formed by slack wire - telephone cables are a good example. So a catenary tow is one where, simply put, the towline is attached to shackles of anchor cable in order to ensure that a belly of towline (providing spring) hangs between the two ships.


What is the Formula for sag in a catenary?

If: A=Horizontal distance betwen ends (at same height) B=Depth of catenary C=radius of curvature at lowest point L=length along catenary M=Mass per unit length Tm=Tension at ends of catenary To=Tension at lowest point. (Also horizontal component of tension at any point) Then: C=To/M, and B=C(cosh(A/2C)-1)


What surface is formed when you rotate a catenary about its vertical axis?

apparently, it is called catenoid.