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1.You are trying to remove 10.0um diameter particles in a water treatment plant. The water is at 20 degrees C, and the particle density is 1.2g/mL. The plant treats 0.100 m^3/s of water. It is proposed to use a 3.5 m deep, rectangluar sedimentation tank with a length to width ratio of 5:1. What is the minimum required width of the basin?
2.Viscous flow in a pipe is to be tested in the laboratory using both air and water. Assume that the velocities (Vair and Vwater) are such that the air flow is dynamically similar to the water flow. Determine the ratio of the velocities, Vair/Vwater, if the tests are conducted at 80 C. Which velocity will be higher in the lab tests?
Crude oil at 20 degrees C fills the space between 2 concentric cylinders 250mm high with diameter of 150 and 156mm. What torque is required to rotate the inner cylinder at 12 rev/min
A truck is hauling a 300-kg log out of a ditch (20 degree incline) using a winch attached to the back of the truck. Knowing the winch applies a constant force of 2500N and the coefficient of kinetic friction between the ground and the log is 0.45
The water table is at a depth of 1 m. Compute the effective normal stress and the shear stress acting on a plane rotated 60 degrees clockwise from the horizontal at a depth of 2.5 m in this deposit.
The number of flaws on a sheet of aluminum manufactured by a certain process follows a Poisson distribution. In a sample of 100m2 of aluminum, 200 flaws are counted.
Let X be a uniformly distributed continuous random variable ranging between 5 and 8, X ~ U[5 , 8]. Variable Y is a function of X: Y: h(X)= 2X^2+1 a. Determine the PDF of Y. b. Find the expected value of Y.
Two m^3 of xenon(Xe) are contained in a closed rigid tank at 70 degree C and 2 bar. The tank is heated to a pressure of 10 bar. Assuming that Xe behaves like an ideal gas with a specific heat ration of 1.7
A speedboat on hydrofoils is moving at 20 m/s in a freshwater lake. Each hydrofoil is 3 m below the surface. Assuming, as an apporximation, frictionless, incompressible flow, find the stagnation pressure(gage) at the front of each hydrofoil.
An open test tube at 293 K is filled at the bottom with 12.1 cm of Hg and 5.6 cm of water is placed above the mercury. Calculate the pressure at the bottom of the test tube if the atmospheric pressure is 756 mm Hg.
The driver strikes the sign at a speed of 25 mi/h. If the student was traveling at 55 mi/h when the sign was spotted, what was the drivers associated reaction time in seconds
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.
A 1.10% Carbon hypoeutectoid plain carbon steel is slowly cooled from 900 degrees C to just slighty below 723 degrees C calculate the weight percent proeutectoid cementite present in this steel.
The pressuregradient is 60 kPa/m, and is negative. Compute the velocityat various points across the channel and show the results on aplot. Assume laminar flow.
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