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An expressway off-ramp consisting of a single lane leads directly to a tollbooth. The rate of arrival of vehicles at the expressway can be considered to be Poisson with a mean of 50 veh/h. and the rate of service to vehicles can be assumed to be exponentially distributed with a mean of 1 min. What is the average number of vehicles waiting to be served at the booth.
determine the length of an interval of time such that the probability of at least one call in the interval is 0.90
The motion of a box on a spiral conveyor is defined by the following position vector: r = 0.5sin(2t) i + 0.5cos(2t) j - 0.2t k where r is in meters and t is in seconds. Find the location, velocity, and acceleration when t = 0.8 s.
The efficiency of the engines of subsonic airplanes depends on air pressure and usually is maximum near about 36,000 ft. Find the air pressure y(x) at this height. The rate of change y(x) is proportional to the pressure
A pre-sedimentation basin has been designed that reduces the river water suspended solids concentration from 500 to 200 mg/L. How many pounds of dry solids does this represent per million gallons of treated water
In the field, if the relative compaction is 90%, determine the hydraulic conductivity of the sand in the field compaction condition (given that k for the sand at the maximum dry density condition is .040 cm/sec and Gs = 2.65).
Describe in your own words the three strengthening mechanisms i.e., grain size reduction, solid solution strengthening, and strain hardening. Be sure to explain how dislocations are involved in each of the strengthening techniques.
CPM Construction plans to buy a truck for $150,000 and sell it for $15,000 at the end of 5 years. The annual operating cost of the vehicle is $60,000. What is the present value of the truck
Find the discharge flowing over a rectangular sharp crested wire, in GPM, which has a width of 9.9 feet and a discharge coefficient of 3.24, if the head above the crest is 1.74 feet.
Find the heat transfer (in KJ/Kmol)from a steady-flow combustor if the products are at 1000 K and (a) complete combustion occurs; (b) 95% of the carbon is converted to CO2 and 5% to CO.
The wet bulb and dry bulb temperatures for humid atmospheric air (at 100 kPa) are measured to be 20 C and 25C respectively. Determine: a. using the psychrometric chart, the relative humidity b. using the psychrometric chart, the humidity ratio
If this rod is to be used again with an initially straight axis, determine the maximum permissible deflection that may be allowed during testing procedures. Young's Modulus = 210 kN/mm2 and Yield stress of the steel= 240 N/mm2.
The 5-m long cantilever beam using a W410 x 67 standard wide flange section has a distributed load of 1200 N/m placed on it. It is also supported by a cable at B, of length 2 m with a 7 mm2 cross sectional area. What is the force in the wire
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