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A sand and gravel pit purchased for $900,000 is expected to yield 50,000 tons of gravel and 80,000 tons of sand per year. The gravel will sell for $6 per ton and the sand for $9 per ton. (a) Determine the depletion charge according to the percentage depletion method. The percentage depletion rate for sand and gravel is 5%. (b) If taxable income is $100,000 for the year, is this depletion charge allowed? If not, how much is allowed?  


A company just purchased an intelligent robot, which has a first cost of $80,000. Since the robot is unique in its capabilities, the company expects to be able to sell it in 4 years for $95,000. (a) If the company spends $10,000 per year in maintenance and operation of the robot, what will the company’s MACRS depreciation charge be in year 2? Assume the recovery period for robots is 5 years and the company’s MARR is 16% per year when the inflation rate is 9% per year. (b) Determine the book value of the robot at the end of year 2.  


A 1 M solution of Cu(NO3)2 is placed in a beaker with a strip of Cu metal. A 1 M solution of SnSO4 is placed in

a second beaker with a strip of Sn metal. A salt bridge connects the two beakers, and wires to a voltmeter link the

two metal electrodes.

(a) Which electrode serves as the anode and which as the cathode?

(b) Which electrode gains mass and which loses mass as the cell reaction proceeds?

(c) Write the equation for the overall cell reaction.

(d) What is the emf generated by the cell under standard conditions?


A 500mm diameter pipeline discharges water from a large reservoir. Determine the maximum possible elevation of its summit at B for a discharge of 2. 15m3/s without the absolute pressure becoming less than 20 KN/m2. Take atmospheric pressure as 10^6

 Water flows at a depth of 40 cm in a100-cm-diameter storm sewer. Calculate the flow rate and the mass flux if the average velocity is 3m/s.


A symmetrical parabolic curve has a descending grade of -0.80% which meets an ascending grade of +0.40% at sta



10+020 having an elevation of 240.62 m. The maximum allowable change of grade per 20-m station is 0.15%



1. Determine the length of the parabolic curve.



2. Determine the stationing of the lowest point on the curve



3. Determine the elevation of the lowest point on the curve.

A rectangular wooden beam (fb = 5.9 MPa, E = 17.3 GPa) has a cross-sectionalarea of 250 mm



by 500 mm. The length of the beam is 15 meters with pin and roller supports every fifth points. A vibrating



machine weighing 500 kg is located at the mid-lengthof the beam. The machine produces an



unbalanced force of 500 N operating at 300 rpm.Determine the following:




a) maximum static deformation under the weight of the machine,



b) maximum dynamic stress in the beam section under the unbalanced force,



c) force transmitted to the support, and



d) adequacy of the beam against bending. Use a dampingratio of 5%.

A firm is considering three mutually exclusive alternatives as part of a production improvement program.



The alternatives are:



A B C



Installed cost $10,000 $15,000 $20,000



Uniform annual benefit 1,625 1,530 1,890



Useful life, in years 10 20 20



The salvage value at the end of the useful life of each alternative is zero. At the end of 10 years,



Alternative A could be replaced with another A with identical cost and benefits. The maximum attractive



rate of return is 6%. Which alternative should be selected

An open cylindrical tank 4 ft in diameter and 6 ft deep is filled with water and rotated about its axis at 60 rpm. How much liquid is spilled, and how deep is the water at the axis? Ans. 15.3 ft , 3.55 ft , give the solution.

An open cylindrical tank 4 ft in diameter and 6 ft deep is filled with water and rotated about its axis at 60 rpm. How much liquid is spilled, and how deep is the water at the axis?

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