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The motion of a particle is defined as x=t^2-8t+7 and y=0.5t^2+2t+4, where x and y are in meters and t is in seconds. Determine the magnitude of the smallest velocity reached by the particle, and the time, position, and direction of that velocity.
determine diameter of 200 m section commercial steel pipe (darcy's friction factor f = 0.0115) that carries a flow of 0.24 m^3/s and allowable head loss ove the section is 3.5 m.
A 32-in.-wide by 0.125-in.-thick by 110-in.-long steel sheet is to be formed into a hollow section by being bent through 360° and having the long edges welded (i.e., butt-welded) together. Assume a cross-sectional medial length of 32 in.
You plan to use a tank of total volume V= 10 m3 to remove a contaminant at concentration Cin = 1 g/m3 from a waste stream with a flow rate of Q = 1 m3/h. The reaction is first order with a rate constant k1 = 0.5 h-1.
How many tons of asphalt concrete will be required to overlay a 3-mile-long, 24-ft.-wide road with 2.5 in. of wearing course asphalt concrete that has a density of 146.3 pcf
Calculate the relative velocity of a solute front that is flowing through an aquifer. The organic carbon partitioning coefficient (Koc) is 6 mL/g and the friction of organic carbon in the soil is 2%.
if a clay slope at a construction site fails derive an equation for the undrained shear strength of the clay given that the shear reistance along L of the slope can be given as: (SuH0)/ sin beta
Your engineering consulting firm has been asked to determine the specific weight of an unknown material. You decide to use the concept of buoyancy to figure this out. So you weigh the material in both air and water.
A 3000 lb vehicle has a drag coefficient of 0.32 and a frontal area of 30 ft2. What is the minimum tractive effort required for this vehicle to maintain a 65 mph speed on a 2% upgrade through an air density of 0.002045 slugs/ft3
The saturated unit weight of the clay is 20kN/m 3 and that of the sand 19 kN/m 3 ; above the water table the unit weight of the sand is 16.5 kN/m 3 . Calculate the effective vertical stresses at the top and bottom of the clay layer.
A square yellow-brass bar must not stretch more than 2.5 mm when it is subjected to a tensile load. Knowing that E = 1.5 GPa and that the allowable tensile strength is 150 MPa
A CU triaxial test with σc = 20 psi is performed on a sand and a deviator stress of 80 psi fails the specimen. Previous tests revealed that the effective friction angle for this sand is 35°. Calculate the pore water pressure at failure.
What is the velocity head expressed in atmospheres for a rapid filter operated at a surface loading rate of 475 m/d when the local porosity is 0.40?
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