0
Still curious? Ask our experts.
Chat with our AI personalities
Rafa
Professor
LaoAdd your answer:
Earn +20 pts
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 surface is formed when you rotate a catenary about its vertical axis?
apparently, it is called catenoid.
What is an Arch of an inverted catenary shape?
One is the "Gateway To The West" arch in St. Louis, Missouri. It is also possible McDonalds Restaurants have a double inverted catenary arch shape. It resembles a letter M in script form.
Is an arch a mathematical shape?
No shape is mathematical really unless it has been created by a mathematical formula, but is certainly a geometric shape. But anything which is a 2D or 3D shape is geometric. My improvement: A catenary curve from a mathematical equation such as cosh x, is a mathematical and natural shape. Maby each other arch can be approximated by a mathematical formula.
Is there an equation for slack in power lines?
Slack, in high power transmission lines, refers to the difference between the length, L, of a conductor hanging between two towers, and the direct distance (span length), S, between the attachment points on those towers. Rather than give slack its own variable, it is simply written (L-S). In his book "Electric Power Generation, Transmission and Distribution, Vol 1", Leonard L. Grigsby gives the following approximate equations for slack: L-S = 8D^2/3S, where: - D is the mid-span sag (how far the conductor sags below a line drawn directly between the attachment points at mid-span) The alternate equation is: L-S = S^3/(24*W^2) = S^3*w*2/(24*H^2), where: - w is the conductor weight per unit length - H is the horizontal tension (constant) throughout the conductor catenary, and - W = H/w is known as the "catenary constant" These equations are only approximations. Exact catenary equations involve hyperbolic sines and cosines, and these parabolic equations are approximations for those. The are relatively accurate as long as sag is less than 5% of span length.
