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A section of highway has a speed-flow relationship of the form "q = au^2 + bu" It is known that at capacity (which is 3100 veh/hr) the space mean speed of traffic is 28mi/hr. Determine the speed when the flow is 1500veh/hr and the free flow speed.
A minimum contact time of 30 min is required to reduce the pathogen concentration from 100 pathogens/L to below 1 pathogen/L through a first-order decay process. You plan on treating water at a rate of 1,000 gal/min.
The search light is rotating at a constant rate of 4 rad per second. Find the magnitude of the velocity and acceleration of the spot of light on the wall when the search light beam makes a 45 degree angle with the wall.
At one point in a pipeline, the water's speed is 3.00 m/s and the gauge pressure is 4.00×10^4 Pa. Find the gauge pressure at a second point in the line 11.0 m lower than the first if the pipe diameter at the second point is twice that at the first..
At a section in a beam the tensile stress due to bending is 70 N/mm2 and there is a shear stress of 25 N/mm2. Determine from first principles, the magnitude and direction of the principal stresses
The Washington Monument is 169 m tall. What is the stress in the lowermost rock if it is made of Georgia granite?
Air pollution in a city is caused by the following four sources: vehicle exhaust (V), industrial exhaust (I), dust (D), and pollen from plants and trees (T). On a particular day, the likelihood of air pollution caused by these sources is 4:3:2:1, ..
If the tensil testing machine can apply no more than 925 lbs. of force to the specimen, calculate the maximum rod diameter that should be used. (precision 0.000)?
During a particular 30-day period, the streamflow flowing into a reservoir averaged 5.0 m3/s. Water supply withdrawals from the reservoir averaged 136 mgd. The only other outflow from the reservoir was 9.4 cm of evaporation from the water surface.
A trapezoidal channel of bottom width 25ft and side slope 1:2.5 carries a discharge of 450cfs with a normal depth of 3.5 ft. The elevations at the beginning and end of the channel are 685 and 650 ft, respectively.
Determine the force required to drag a small barge (10 ft by 30 ft) in a shallow canal (3 inches deep) in order to maintain a velocity of 5 ft/sec. Assume that the fluid is behaving in a Newtonian fashion and the water temperature is 68 degree fah..
Starting from x = 0 with no initial velocity, the acceleration of a race car is defined by the relation a = 6.8e- 0.00057x , where a and x are expressed in m/s 2 and meters, respectively. Determine the position of the race car when v = 30 m/s.
Design a simply supported one-way reinforced concrete floor slab to span 10 ft and carry a service live load of 175 psf and a service dead load of 25 psf. Use fc' = 3000 psi and fy = 60,000 psi. Make the slab thickness to ½-in. increments.
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