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A constant flow of water, 30 lbm/s, enters a cylindrical container from the top. At the bottom, an opening allows water to drain out at a rate, in lbm/s, that is proportional to H(t), the instantaneous height of water in the barrel, in ft: rate of water leaving from bottom = 9*H(t) . The circular base of the cylindrical container has an area of 3 ft^2 and the density of water is 62.4 lbm/ft^3. If the barrel is initially empty, plot the height of the water in the container as a function of time and explain the main features of the plot.
A construction firm purchased 3 tractors from a certain company. At the end of the fifth year, let E1, E2, E3 denote, respectively, the events that tractors no. 1, 2, and 3 are still in good operational condition.
A 1.50 L buffer solution is 0.250 M in HF and 0.250 M in NaF. Calculate the pH of the solution after the addition of 0.0500 moles of solid NaOH. Assume no volume change upon the addition of base. The Ka for HF is 3.5 x 10-4.
The concentration of Chemical Oxygen Demand (COD) in the effluent from this system is 25 mg L-1. The growth rate of the organisms in this case is 0.9 days-1. The activated sludge tank has a volume of 50 m3 and the flow rate through it is 500 m3 da..
the t-component of the force f is known to be 75n. determine the n-component and the magnitude of f.
If I raise a 1000 lbf weight 100 feet above sea level on earth in 10 seconds how much power will be required
Two factories are manufacturing and supplying a single type of good to four warehouses. The factories can produce a1, and a2 units of the good each month, and the warehouses need b1, b2, b3, and b4 units each month
At the inlet the steam is at 1 MPa and 320 C, and leaves the turbine at 20 kPa. The work output of the turbine is measured to be 600 kJ/kg (of steam passing through the turbine).
determine the value of Po, as a funciton of H, for these two investment alternatives to be equivalent at an interest rate of i=15% per year.
A previously calibrated rotometer is being used to measure a gas flow. Calculate the true volumetric flow rate of methane in the rotometer whe. The rotometer reads 4.0.
A 0.20 kg stone attached to a 0.8 m long string is rotated in a horizontal plane. The string makes an angle of 25° with the horizontal. Determine the speed of the stone.
Air (an ideal gas) enters an adiabatic nozzle at 3 bar and 38 C and exits at 1 bar and -0.78 C. The process is steady. If the velocity at the inlet is 1 m/s, determine the exit velocity and the ratio of the exit area to the inlet area.
While designing a shock absorbing bumper for a 5-Mg rail car, the spring used for the bumper follows a nonlinear relationship of F = ks2 where F is the force in Newtons and s is the compression distance in meters.
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