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a temperature probe moves with the velocity 2i+2j-3k through air. the temperature of air changes as T(x,y,z,t)=(2x^2-3y+z^3)cos(at). Find the rate of change of temperature measured by the probe.
A very small country has just gained independence in the year 2000, at which time its population was 1,000. The new country has a birth rate of 0.02 yr-1, death rate of 0.004 yr-1, immigration rate of 0.01 yr-1, and emigration rate of 0.005 yr-1.
A bridge has cylindrical piers 1 m in diameter and spaced 15 m apart. Downstream of the bridge where the flow disturbance from the piers is no longer present, the flow depth is 2.9 m and the mean velocity is 2.5 m/s.
a storage tank has a diameter of 80 ft, a height of 25ft and contains oil to a height of 15ft. the suction pumps, which can handle 15000bbl/d, are started, but the safety valves are clogged and a vacuum is drawn in the tank.
A project involves transporting iron pipe to a jobsite that is 43 miles from the supplier. The pipe will be hauled in trucks that can carry 16 pipes per load. Each pipe is 20 ft in length. The average haul speed of a truck will be 50 mi./hr and re..
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.
Aqueous sodium cyanide wastes at a metal processing industry are to be treated with chlorine and NaOH. Calculate the stoichiometric quantity of CL2 required daily to destroy the cyanide from 5 Kg of NaCN.
The effective angle of friction (phi) was found to be 26 degrees for a normally consolidated soil. If the soil is tested in consolidated drained triaxial test under sigma3 = 60 kPa, what would be the failure deviatoric stress sigma1-sigma3 stress
A 1-inch elevator cable is 1000 feet long. The modulus of elasticity for the cable is 25,000,000 psi. Determine the total elongation of the cable due to a load of 20,000 pounds.
Fabco, Inc., is considering purchasing flow valves that will reduce annual operating costs by $10,000 per year for the next 12 years. Fabco's MARR is 7 percent/year. Using an internal rate of return approach
Calculate the moments M_A and M_B about point A for the forces applied at points A and B. Then, determine the resulting couple moment M_R. Assume that a positive moment produces a counterclockwise rotation whereas a negative moment produces a cloc..
A batch dryer with a grain depth of 20 inches contain 21,000 pounds of 20.7% (wb) moisturecontent shelled corn. An airflow of 75,000 pounds dry air per hour is supplied at a temperature of 175°F. The ambient air is 55°F at 100% relative humidity.
A simple highway curve is planned to connect two horizontal tangents that intersect at sta. 2500 + 00.00 at an external angle of 52 degrees. For a design speed of 60 mi/hr and a curve radius of about 1.25 times the minimum allowable
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