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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 ( the processing time is also exponentially distributed) What is the total time spent in the system by all vehicles in a 1 hour period?
A bank is offering to sell 6-month certificates of deposit for $9800. At the end of 6 months, the bank will pay $10,000 to the certificate owner. Compute the nominal annual interest rate and the effective annual interest rate
Cars arrive at a toll gate on a freeway according to a Poisson distribution with mean 90 per hour. Average time for passing through the gate is 38 seconds. Drivers complain of the longwaiting time.
In a three phase balanced system, a delta connected source supplies power to a wye connected load. If the line impedance is 0.2 + j0.4 ohms, the load impedance 3 + j2 ohms, and the source phase voltage
A wastewater treatment plant uses an activated sludge process for secondary treatment of 0.300 cubic meters / second of primary effluent. The mixed liquor has a concentration of 2,100mg VSS/L, and the RAS concentration is 10,000mg VSS/L.
It is required to reduce a pipe of diameter 8 in to a minimum diameter pipe that allows the downstream velocity not to exceed twice the upstream velocity. Determine the diameter of the pipe. Assume smooth transition
Determine the moment of inertia of the shaded area about the following axis: a. x-axis b. y-axis show properly dimension figures.
Pinion gear A rolls on the fixed gear rack B with an angular velocity = 8 rad/s. Determine the velocity of the gear rack c . Assume the direction to the right as positive.
Two kg of oxygen at 40C are contained in a 2 m3 closed rigid tank. Assuming that oxygen behaves as an ideal gas under these conditions, what is the gas pressure in the tank in bar.
A tape is calibrated and found to measure 100.04ft between the 0- and 100-ft marks. What measurements should be laid out to establish a horizontal distance of 682.25ft?
A fluid flowing in a pipe 30cm in diameter has a uniform velocity of 4m/s. The pressure at the center of the pipe is 40KPa, and the elevation of the pipe's centerline above an assumed datum is 4.5m. Compute the total energy per unit weight of the ..
Determine the location e of the shear center, pt. O, for the thin-walled member having the cross section shown. The member segments have the same thickness t.
Colette Lake has a surface area of 103 ha and a mean depth of 8 m. The pH of the water is 7.6. The lake receives surface water from a lake upstream, rainfall, and diffuse groundwater input. Atmospheric inorganic N deposition is insignificant.
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