Hi guys I need some help...I need to work out the volume of a cylinder. If the cylinder has length of 60 mm and a diameter of 8mm what is the cylinders volume... Now if I shorten the cylinder to 45mm how big do I need to make the dimeter to have the same volume... thanks in advance John
And check the moody diagram to calculate pressure drop IN THE cylinder as a result of pipe friction. tip : first determine relative pipe roughness aND determine the reynolds number and the check whether flow is laminar or turbulent ie Re > 2000 then turbelnt. then check if pipe wall thickness is sufficient by using basic formula: stress = pr/t.(p=pressure, r=pipe radius, t= wall thickness) and check max allow tensile stress for the used material. and If using as a pressure vessel, hydrotest 1.5 times max allow P. _____hope this helps
Take note however that if the bottle is not stationary then it might also be necessary to consider the length dilation that is likely to occur. The length of the bottle in a moving frame will appear somewhat shortened in the direction of motion. The amount of contraction can be found by using the Lorentz transformation. The length is at its max in the frame in which the object is stationary. L = L0 * sqrt((1 - (V^2)/(C^2))) ..where L0 is the length measured in the moving ref, v its velocity and c the speed of light in a vacuum.
So if avail space is the limiting factor, it might be an option to make the cyl travel 0.8 times the speed of light for it to contract and fit. but this is merely an optical illusion. extending the tube and using a smaller diameter would be recomended
Judging by the size of the tube, I presume john is using it as a stabilizing cappilirary tube used for cooling, used in his experiment to observe the circular movements of accelerated elecros in an ideal gas enviroment caused by the two poles of a magnetic field acting diagonally across the path of projected motion. If subject to high loads, the induced vibration can be minimized by countering the simple harmonic motion by means of a fourier sequence calculation. It involves integration techniques, int-by-parts inclusive. Sbk doesnt provide a mathematical platform for me to submit the required calculations and formulae. sadly