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Let event Y be a rainstorm on a given day and event X be lightning on a given day. Let probability of these events be: P(X)=0.3 P(Y)=0.1 P(Y|X)=0.5 What is the probability that both rain and lightni
A cable is attached at A and is connected to the wall. Determine the axial forces in the members of the truss using the Method of Joints and indicate whether they are in tension (T) or compression (
At a confining pressure of 2000 psi, the first sample failed at 9000 psi. Then at a confining pressure of 5000 psi, the other sample failed at 21,000 psi. Plot the two test results on a shear stress
Conduct a powder factor design for the following conditions: -Rock is iron ore; density is 5370 lb/cubic yards -Rock swells 60% from in situ when broken -Bench height is 45ft -Drill hole diameter is
A cylindrical soil, 75mm in diameter and 150 mm long, is radially compressed. The length increases to 153 mm and the radius decreases to 37.2 mm. Calculate: a) The axial and radial strains b) The vo
What is the diameter of a circular concrete column needed to support a load of 300,000 pounds with a factor of safety of 2. Round the diameter up to the whole inch. The concrete ultimate strength is
A 12%,$ 50,000 bond is offered for sale at $45,000. If bond interest is payable monthly and the bond matures in 20 years, what nominal and effective rates of return per year will the purchaser make
FeCl3 is added to remove excess phosphate. The following reactions occur (the charges are in parentheses): FeCl3 -> Fe(3+) + 3Cl(-) Fe(3+) + PO4(3-) -> FePO4 The equilibrium constant for the s
compute the finals velocities v1' and v2' after collision of the two cylinders which slide on the smooth horizontals shaft. The cofficient of restitution is e= 0.6. m1 = 2 kg, v1= 7m/s and m2 = 3 kg
the coefficient of the restitution for the collision is e = 0.3, and friction is negligible. if the time duration of the collision is 0.025 s, determine the average impact force which is exerted on
The total annual runoff from small drainage basin is determined to be approximately normal with a mean of 14.0 in. and a variance of 9.0in^2. Determine the probability that the annual runoff from th
Assume the capacity of a pile supporting a transmission tower is modeled with a log-normal random distribution with a mean of 250 tons and a c.o.v. of 20%. a) What is the probability that the pile w
The average flow rate of the River Tiger into the lake was determined to be 3.5 m3/s and the average flow rate of the River Yankee out of the lake was measured at 2.5 m3/s (ignore any loses due to
Use the Muskingum method to route a flood through a reach a river. The base flow is 100 cfs, and the incoming flood flow increases 50 cfs every 2 hr over a 6 hr period and the subsides at the same r
a line was measured five times, the readings were: 100.08, 100.51, 100.32, 100.16, 100.22. what is the error. What is the most probable length.
if a residential space heater burns anthricite coal having a sulfur of 2.85% what would be the emissions of sulfur dioxide from having burned 900 ib of this coal. use ap-42 table 1.2-1 sulfur dioxid
emissions from waste oil combustion may be estimated using ap-42 1.11. A small boler is operated from 10/15/2012 through 4/15/2013 and it is used to burn 45 gallons per hour of a blended waste oil h
Water is flowing in a 6-cm diameter pipe at 20 m/s at 10?C. If the pipe enlarges to a diameter of 12-cm, calculate the reduced velocity. Also, calculate the mass flux rate and the flow rate.
A rectangular gate is inclined at an angle of 30 degrees from the horizontal. It is 4 ft wide by 6 feet long. If it is hung from its upper end which is 8 feet below the waters top edge, what minimum
The motion is described by the second Newton's law: m(d^2y/dt^2) + a(dy/dt) + ky = 0 where y is the body displacement in m, t is the time in s, a > 0 is the friction coeffcient in kg/s and k is t
A reaction in a batch system is assumed to be first order. Data listed below was collected. Determine the reaction rate constant. chemical concentration (ug/L) time(min) 19.3 6
A batch system is assumed to be first order. The initial concentration is 225 mg/L. If the reaction rate constant is 0.65 hr^-1, how long will it take for the concentration to be one-quarter the st
The concentration of cadmium ion (Cd^+2) in water is 225 mg/L. Will a precipiate be consumed or produced at pH 9.0? Will a precipitate be consumed or produced at pH 7.5
If the pH of a natural water is 7.8, and the alkalinity was measured to be 125 meq/L, determine the following: - Alkalinity as mg/L CaCo3 - Approximate the total carbonate concentration (Ct), in mol
If 5 mg of NaOCl are added to one liter of water and the pH is measured to be 7.8, what is the concentration of hypochlorite ion (OCl-) in mg/L