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  • What do convergence and divergence mean? And why do they matter?
    I understand that when a series diverges, y doesn't approach 0 when x approaches infinity, and converging series do But what does this say? I just want to understand some applications NOTE: I'm still on integration by parts, so try to explain in simple terms This site scares me sometimes xD Thanks!
  • Calculating Flow Rate: Pressure Source to Converging Nozzle
    Then there is a converging nozzle, which I have calculated the resistance coefficient using Crane's Manual and it has an outlet to the atmosphere I have tried to simplify the system The full system is a pressure source, converging nozzle which has outlet into original diameter at converging nozzle inlet followed by hose to outlet to atmosphere
  • Reason for Different Focus Distances in Converging Lens Lab
    we used a converging lens and a screen with white paper in front of a window to form an image of a distant tree outside This was about 15cm When we used an optics bench and a candle to figure out the focus, it was 16 3cm What would be a reason for the difference in the number?
  • Two Converging Lense Questions - Physics Forums
    Yes, it is possible to obtain a non-inverted image with a converging lens As long as the object is between the focal length point and the lens it is possible Of course this would be a virtual image and the image would be magnified m=-d(image) d(object) If m=1 than we have an equation where we can put d (object) = - d (image)
  • Graphically determining the focal length of a converging lens
    Homework Statement: Graphically determining the focal length of a converging lens by graphing the given object distances (do) and image distances (di) Relevant Equations: 1 f = 1 do + 1 di So I have plotted all the given data points on a graph, putting 1 di on the y- axis and 1 do on the x-axis
  • Object at focal point of converging lense - Physics Forums
    In summary, when an object is placed at the focal point of a converging lens, the refracted rays will be parallel to the principal axis, resulting in an image at infinity This can be shown through ray diagrams by drawing three rays and observing how they behave after passing through the lens
  • Is it possible to have a Mach number greater than 1 at the throat?
    The maximum attainable fluid velocity at the throat of a converging-diverging nozzle is M=1 This has to do with the factor 1 (1-M^2) term in the compressible flow nozzle equation approaching infinity According to "Introduction to Fluid Mechanics, Sixth Edition" by Fox et al , Pg 624:
  • Easy way to remember imaging properties of lens? - Physics Forums
    With converging lenses, it depends on the object distance, but there are five possible outcomes: With the object between the lens and the focal length (F), the image is virtual, upright, enlarged With the object right at F, there is no image With the object between F and twice the focal length (2F), the image is real, inverted, enlarged
  • Series that converge to - Mathematics Stack Exchange
    In particular, take a look at the latest version of his talk on "The life of pi" (and its references!), which includes many of the fast converging algorithms and series used in practice for high precision computations of $\pi$, such as the one from this Summer
  • Why is my COMSOL solution not converging? - Physics Forums
    Hello, I'm a 2nd year student, and I'm trying to get to know COMSOL I'm starting off by solving simple problems with the incompressible Navier-Stokes model, but I keep having trouble with the convegence of the solution I keep getting the following error: "Failed to find a solution: The





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