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Compressed gas is used in many circumstances to propel objects within tubes. Let the cross - sectional area of the tube be given by A and the position of the cylinder by s , and assume that the compressed gas is an ideal gas at constant temperature so that the pressure P times the volume is a constant, i.e., P = constant. If the force exerted by compressed gas is assumed to be a conservat ive force, show that the potential energy of this compressed gas is given by V = - P 0 S 0 A · ln( s / s 0 ) , where P 0 is the initial pressure and s 0 is the initial value of s . Model the cylinder as a particle, and assume that the forces resisting the motion of the cylinder are negligible.
a). Determine the state of stresses in the walls and indicate these stresses (including arrows to denote the direction of the stresses) on the element below. b). Then, determine the maximum in-plane shear stress on the wall of the pipe using Mohr's..
The two pulleys are riveted together to form a single rigid unit, and each of the two cables is securely wrapped around its respective pulley. If point A on the hoisting cable has a velocity v=0.9 m/s,
for a uniformly loaded square area, what is the stress to load ratio at a depth of 2B below the CENTER of the loaded area
What is the tension in the cable connecting the boat to the pier Angle of spray 50 degrees off horizontal axis and is spraying toward the pier and pushing the boat away from the pier.
Compare the total reactor volume required for 90% removal of the same pollutant in a CSTR system that contains a single reactor against a system that contains three CSTR reactors of equal volume in series.
for a laminar flow of a newtonian fluid in a tube of a circular cross section, show that the ratio of mean shear to the wall shear rate is 2/3
The winch consists of a drum radius 4 in., which is pin connected at its center C. At its outer rim is a ratchet gear having a mean radius of 6 in. The pawl AB serves as a two-force member (short link) and keeps the drum from rotating.
Water flows uniformly at a depth of y1 = 40 cm in the rectangular troweled concrete channel shown, which is 10 m wide and has a bed slope of So = 0.040 . What is the velocity in the channel before the hydraulic jump
Maximum dry unit weight was found to be 114lb/ft^3 at a water content of 13.5% in labratory tests. Results of a field unit weight test were dry unit weight=111lb/ft^3 and a water content 11%.
Find the uniform flow depth (in feet) of a concrete trapezoidal channel with a bottom width of 30 ft. and side slopes of 2:1. The channel is laid at a slope of 0.05% and carries a design discharge of 1000 cfs.
A steel bolt and nut are tightened around an aluminum sleeve. Find the internal forces as the nut is rotated 1 turn
A mass of 200g of saturated liquid water is completely vaporized at a constant pressure of 100KPa. Determine a) the volume change b) the amount of energy added to the water
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