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According to the Owner's Manual for the Gateway Arch by William Thayer, the construction made use of the following mathematical equation.
y(x) = a + b * cosh( c * x)
a= 693.8597 b= -68.7672 c=.010033
-299.2239 </= x </= 299.2239
Cross-sections of the arch are equilateral triangles, and (x,y) traces teh path of the centers of mass of the triangles whose area is given by the following equation:
A(x) = d * cosh (c*x)
d = 125.1406
1. Plot this expression and confirm its shape
2. Find the height to the top most point and the width at the base and mid-height.
A bus line 4 miles long runs through an area with 1/6 acre lots,3.5 people per household, average 1 car per household. People willwalk up to 1/6 mile to a bus stop, so stops are located 1/3 mileapart along the route. Say commuters will tolerate 20 mi..
The piezometers are 280 m apart. The difference in piezometric head bewteen the two is 1.4 m. The aquifer hydraulic conductivity is 50 m/d and the porosity is 20%.
A steady flow of refrigerant 134a enters a throttling valve in a refrigeration unit as a satrurated liquid with a pressure of 150 psia. The refrigerant is discharged with a pressure of 40 psia.
A 35 percent-efficient coal-fired power plant with effective height of 100 m emits SO2 at a rate of 0.6 lb/10^6 Btu into the plant. If winds are assumed to be 4 m/s at the stack height and just over 3 m/s at 10 m
A completely mixed activated-sludge plan is being designed for a wastewater flow of 3.0 mgd. The BOD of 225 mg/l is 200 mg/l soluble. The effluent soluble BOD requirement is 7 mg/l (70 percent of the total 10 mg/l).
a pipeline terminates in a nozzle of outlet diameter 0.15 m. the free jet from the nozzle is deflected through
What is the average length of queue, the average time spent in the system, and the average waiting time in the queue?
A 1.0-in-diameter hole is drilled on the centerline of a long, flat steel bar that is 1/2" thick and 4" wide. The bar is subjected to a tensile load of 30,000 lb. Calculate the average stress in the plane of the reduced cross section and the maxium t..
derive an equation and solve for the volume V of a CSTR, operated isothermically for the second-order reaction 2R->P, where rR=-kC^2 R. Data are k=6.0 L/mol-s, CRin=0.005 mol/L, CRout=0.0005 mol/L, and Q=100 L/s.
A distance of 72.55ft. is recorded. A steel tape is supported atthe ends with a tension of 15 lb. and weighting 0.016lb/ft2 . Find the distance corrected for sag.
stiglers private interest theory proposes that regulatory bodies are made up of individuals who are self-interested and
Use the ideal gas law to estimate the mass of the air (in KG) contained in the room. State clearly what your approximate temperature , volume are. Molar mass of air is about 29.
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