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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.
At a section in a beam the tensile stress due to bending is 70 N/mm 2 and there is a shear stress of 25 N/mm 2 . Determine from first principles, the magnitude and direction of the principal stresses and calculate the max shear stress.
Determine the velocity of slider block C at t=0, (b) the acceleration of A and C, (c) the change in position of block A after 5s.
A chemical plant produces a process wastewater that contains a relatively high concentration of a small number of nontoxic organic compounds, but very low concentrations of solids or salts. It has no odor.
A gas is compressed at a constant pressure of 0.800 atm from 9.00L tp 2.00L. in the process, 400J of energy leave the gas by heat. (a) What is the work done on the gas? (b) What is the change in it internal energy?
The receiver's velocity is constant at 10 yd/sec, and he catches passes when the ball is 6 ft. above the ground. If the quarterback desires the receiver to catch the ball 2.5 sec. after the launch instant, determine the initial speed v0 and angle,..
Tall buildings can develop a significant difference in pressure between the inside and the outside of the building. Air lock entrances are used at the ground level so the pressure at the ground floor is not the same as atmospheric pressure.
a 520 ft long equal tangent crest vertical curve connects tangents that intersect at station 340 00 and elevation 1325 ft the initial grade is if 4 and the final grade is 2.5.
In the construction management, there is a lot of procurement route that are necessary and suitable for the construction industry.
The "supersoaker" water gun can shoot more than 30 ft in the horizontal direction. Estimate the minimum pressure, , needed in the chamber in order to accomplish this. List all assumptions and show all calculations.
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:
If the detention storage on the paved section is increasing at the rate of 60 m3/hr, what is the runoff rate into the inlet grate?
In bridge widening projects, the method of stitching is normally employed for connecting existing deck to the new deck. What are the problems associated with this method in terms of shrinkage of concrete
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