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As a highway patrol officer, you are patricipating in a speed trap. A car passes your patrol car which you clock at 55 mph. One and a half minutes later, your partner in another patrol car situated two miles away from you, clocks the same car at 50 mph. Using the mean value theorem for derivatives, show that the car must have exceeded the speed limit of 55 mph at some point during the one and a half minutes it traveled between the two patrol cars.
A soil specimen has a water content of 18% and a wet unit weight of 118.5 lb/cu. ft. The specific gravity of solids is found to be 2.72. Find the:
A 10,000 ft3 mass of saturated clay had a void ratio of 0.962 and a specific gravity of solids of 2.71. A fill was then placed over this clay, causing it to compress. However, the volume of the solids remained unchanged. After this was complete, the ..
A belt is wrapped around a pulley for 180 degrees. The loose-side belt tension is 100 lb and the coefficient of static friction is 0.30. Calculate the maximum belt tension if motion is impending. Assume A) a flat belt and B) a V-belt with a groobe an..
Water enters a very wide rectangular channel (Manning’s n = 0.0149) at a velocity of 12.2 ms-1 and a depth of 0.61 m. An H3 curve forms downstream and the water jumps to a depth of 2.4 m some distance downstream. Find the distance downstream to the l..
The power loss, p , in a journal bearing depends on length, L; diameter, D; clearance, c; and rotational speed, w. You also have to worry about lubricant viscosity, density, and pressure. Obtain the dimensionless groups that charactrize this probl..
Determine the depth of a French drain (saturated depth) if the width is 3.0 feet, the effective permeability of the aggregate is 2000 ft/day, and the rate of discharge for 100 feet of trench is 1000 feet^3/day.
Air is compressed from an initial state of 100 kpa and 170 *C to a final state of 600 kpa and 57 *c. Determine the entropy change of air during the compression process by using a) property values from the air table and b) average specific heats
A compressible 12-ft clay layer beneath a building is overlain by a stratum of sand and gravel and underlain by impermeable bedrock. The total expected primary consolidation settlement of the compressible clay layer due to the building load is 4.60 i..
Atrazine, a neutral triazine herbicide manufactured by the Ciba-Geigy group, undergoes biological and chemical decomposition to formhydroxy-atrazine. a).Assuming a pseudo first order decay constant of 0.01/day for atrazinr and 0.005/dayfor hydroxy..
In trigonometric leveling from point A to point B, the slope distance and the zenith angle measured in A were 2504.897 m and 85o08’54”. At B, these measurements were 2504.891 m and 94o52’10” respectively
A vertical curve is designed for 55 mi/h and has aninitial grade of +2.5% and a final grade of 1.0%. The PVT is at station 114 + 50. It is known that a point onthe curve at station 112 + 35 is at elevation 245 ft.
In a water table aquifer bounded on the ends by rivers, the hydraulic conductivity is 50 m/day. The hydraulic heads at x = 0 and x = 1000 m are 100 m and 90 m, respectively.
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