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Each of two buses carries passengers from a depot to various destinations and return for another trip with a round trip time very nearly equal to R. The buses are run by independent drivers, however, who make no attempt to coordinate their schedules. Actually, one bus runs slightly faster than the other so that over many trips the fraction of trips that the second bus leaves within a time t after the first bus is t/R , 0 < t < R. In effect, the times between departures of the buses are random, with a uniform distribution over the interval 0 < t < R.
If passengers arrive at the depot at a constant rate, what is the average time that a passenger must wait for the next bus? Compare this with the wait if the headways are controlled so as to be R/2.
A large drainage channel has a trapezoidal cross section with a bottom width of 75 feet and bank side slopes of 4:1 (H:V). If the normal depth of flow is 25 feet, compute the normal flow rate through the channel (Q in cfs).
The floor area of each floor in these buildings is 400 m^2. The buildings are separated by large lawns so that the (Exposure + Communication) factor = 1.2.
Draw the shear diagram for the shaft. The bearings at and exert only vertical reactions on the shaft
A trapezoidal canal with a bottom width of 1.5m, a side slope Z=1, has a longitudinal slope of 0.4% and n=0.025. If the water depth in section 1 is 1.52 m and in section
At the minimum volume reached during shrinkage, a specimen of soil has a void ratio of 0.87. if Gs = 2.72, calculate the shrinkage limit
A fluid flows into a plug flow reactor of volume, V, with volumetric flow rate, Q. Inflow contains species A and B and concentrations A0 and B0. Within reactor, species A undergoes first order reaction producing
A bowling ball is dropped from a boat so that it strikes the surface of a lake with a speed of 25 ft/s. Assuming the ball experiences a downward acceleration of a = 10-9v2 when in the water, determine the velocity of the ball when it strikes the bott..
A temporary flood wall has been constructed to protect several homes in the floodplain. the wall was built to withstand any discharge up to the 20-year period after all the homes have been relocated.
a concrete test cylinder is loaded with p= 100k (445 kn) and resulting shortening of 0.036" (0.0914 mm). determine the unit strain developed in the concrete.
The Jordan aquifer has been pumped for several decades, yet remains fully saturated. Explain where the water is coming from.
What is the maximum distance away that the navigation lights can still be seen by an observer standing at the shoreline The observer's eye height is 5'6" and the uppermost navigation light is 168 above the water.
A lunar module weights 1500 kg on earth where g = 9.75 mps2. On the surface of the moon where g = 1.70 mps2, what will be the force in Newtons required to accelerate the module at 10 mps2?
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