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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 rectangular clarifier with a length:width ratio of 3:1 receives a flow of 850m3/day. the clarifiers depth is 4.0m and the detention time of the water inthe clarifier is 2.4 hrs, what are the surface overflow rate and the horizontal flow through ..
water flows at a velocity of 25 ft/s at a depth in a rectangular channel 16 feet wide. Determine the downstream depth necessary to form a hydraulic jump, the head loss through the jump and the horsepower dissipated in the jump.
The 81-lb uniform square plate is supported by a ball-and-socket joint at O, a cable at E, a fixture at A which can support vertical force only, and a linear spring at C. If the unstretched length of the spring is 4 in.
A study of the traffic using a tunnel showed that the following speed-concentration relationship applies. Find the capacity of the tunnel, the values of speed and oncentration at capacity, and the jam concentration.
Plan 2 has a $40/month access fee, unlimited nights and weekends, 750 anytime minutes plus $0.29/minute for minutes over 750, text messages cost $0.05 each, and roaming cost $0.39/minute whenever she leaves the state.
The tank is insulated on the outside and the partition between the two sections is also an insulator. The partition can withstand a pressure differential across it of 400 kPa, before rupturing.
The student strikes the sign at a speed of 25 mi/h. if the student was travelling at 65 mi/h when the sign was first spotted, what was the student's associated perception reaction time
Vehicles arrive at a toll bridge at a rate of 430 veh/hr (the time between arrivals is exponentially distributed) Two toll booths are open and each can process arrivals (collect tolls) at a mean rate of 10 seconds per vehicle
a ship has a cross-sectional area of 4000 ft^2 at the water line when the draft ( depth below the water line of the vessel bottom) is 10 ft. How many pounds of cargo will result in an increase of draft of 2 in ( specific weight is 64 Ib/ft^3 )
Fluids A and B ave specific gravities .75 and 1.00 respectively. If the mercury is used as manometer liquid determine the pressure difference between A and B
A system consists of liquid oxygen in equilibrium with oxygen vapor. How many phases are present The system undergoes a process during which some of the liquid is vaporized.
The car weights 2450 lb, the mechanical efficiency of the drivetrain is 90%, and the wheel radius is 14 inches. The base engine develops 200 ft-lb of torque, and a modified version of the engine develops 240 ft-lb of torque.
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