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The inflow to a small reservoir during a storm may be described by the equations Q=1000(1-e^-kt) where Q= flow in cfs k= runoff rate = 1.0 per hour t = time in hours The outflow through the dam gates is held constant at 800 cfs. The initial volume of the reservoir is 10x10^6 cubic feet. Write the differential equation describing the rate of change in reservoir volume with time. Plot the volume of the reservoir versus time during the first 8 hours of the storm. At what time does the minimum volume occur? Does a maximum volume occur?
An outdoor track is 125m in diameter. A runner increases her speed at a constant rate from 4 to 7 m/s over a distance of 30m. Determine the magnitude of the total acceleration of the runner 2 s after she begins to increase her speed.
An increment of vertical stress of150kpa compress the sample to a void ratio of1.43. What is the over consolidation ratio of the soil at the unloaded condition.
Determine the unstretched length of spring AC if a force P = 110 lb causes the angle theta = 60^circ for equilibrium. Cord AB is 2 {rm ft} long. Take k = 50;{rm lb/ft}
A pipe 1ft in diameter bends through an angle of 135 degrees. The velocity of flow of gasoline ( S = 0.8) is 20ft/s and the pressure is 10psig in the bend. What external force is required to hold the bend against the action of the gasoline
Determine the mass ratio, For a vehicle in gravitationless space, determine the mass ratio necessary to boost the vehicle velocity by 1600 m/sec
Plot the ground level concentration of sulfur dioxide as a function of distance from the stack and determine the maximum ground level concentration at both with and without air pollution control and the distance from the stack where the maximum co..
Motor M draws in the cable with an acceleration of 4 , measured relative to the 220 mine car. Determine the acceleration of the car. Neglect the mass of the pulleys.
Traction and Total Resistance, Would you please help me with the following question: A 90 tonne rear dump truck travels on an 8% grade loose gravel road.
If a single deposit of $15,000 is invested at 2.75% yearly interest, what equal year-end withdrawls can be made each year for 10 years, leaving nothing in the fund after the 10th withdrawl
the triangular plate ABC is supported by ball and socket joints at B and D and is held in the position shown by cables AE and CF. If the force exerted by cable AE at A is 1000N , determine the moment of the force about line joining points D and B.
A turbine discharges water at 0.4 m3/s under a head of 10.50 m and with an overall efficiency of 80 %. determine what is The power developed.
Determine how many years from now the consumption will reach its design capacity with current usage rates if the community has a declining growth rate.
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