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A truck weighing station has a single scale. The time between truck arrivals at the station is exponentially distributed with a mean arrival rate of 1.5 veh/min. the time it takes vehicles to be weighed is exponentially distributed with a mean rate of 2 veh/min. when more than 5 trucks are in the system, the queue backs up onto the highway and interferes with through traffic. Find:a. The probability of blocking the highway through traffic.b. Average time in the queue and in the system.c. The average number of trucks in the system, and its variance.
A two-phase liquid-vapor mixture of water is initially at a pressure of 10 bars. If on heating at fixed volume, the critical point is attained, determine the quality of the initial state.
Determine the mass ratio, For a vehicle in gravitationless space, determine the mass ratio necessary to boost the vehicle velocity by 1600 m/sec
given s=.30/(60-u), where s is the spacing (space headway) in miles, and u is the speed in miles per hour, derive the relationships u-k, u-q, and q-k. Also, estmate the capacity (qmax) of the roadway.
The volume flow rate of streams into the pipe is given by QA = 0.02t m 3 /s and that of stream B by QB = 0.008t 2 m 3 /s, where t is in seconds. The exit area of the pipe is 0.01m 2 . Find velocity and acceleration of the flow at exit at t = 1s.
Two immiscible fluids are in contact. Fluid I is denser and is also well mixed. The concentration of species a is cao everywhere within this fluid and the temperature in fluid I is held constant at To.
Determine whether these conditions are true or false.
Determine the rate at which heat is added in the boiler, the power required to operate the pumps, the net power produced by the cycle, and the thermal efficiency.
Air can be assumed as a di-atomic ideal gas. Find the final temperature and the amount of work ( in kW) required for air compression at a rate of 100 mol/s , from an initial condition of 1 bar an 25 C to 10 bar; for the following ways.
A direct shear test is performed on a saturated specimen of loose sand. A normal stress equal to 100 kPa is applied and a maximum shear stress of 75 kPa is measured in the shear test. Determine the principal stresses and the orientation of these p..
A freeway has a capacity of 4500 veh/hr. A traffic accident occurs at 9AM and the freeway is closed. At 9:15 AM, the freeway is partially opened with capacity of 1500 veh/hr. Freeway is restored to full capacity 4500 veh/hr at 9:30 am.
In a right triangle with the hypotenuse c = 10 and the angle A =50 degrees , what is the value of side b ?
Determine the critical load of a round wooden dowel that is 0.9m long and has a diameter of (a) 10mm (b) 15mm. Use E=12GPa
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