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A steady-state, incompressible two-dimensional velocity field (u,v) is given by the following components in the xy-plane
u = 0.2 + 1.3x + 0.85yv = -0.5 + 0.95x - 1.3y
(a) Sketch the velocity field in the xy-plane between -5 < x < 5 and -5 < y < 5.(b) Calculate the acceleration field (find expressions for the substantial time derivative components Du/Dt and Dv/Dt).(c) Calculate the acceleration at the point (x,y) = (1,2).
determine the width of the flume to be used such that the depth of flow immediatly upstream of the throat under design conditions is 1 m. By what percentage is the capacity of the flume reduced if the downstream depth is 0.85m
The car's gear reduction ratio is 3.5 to 1, driveline efficiency is 90%, driveline slippage is 3.5%, and the road-wheel radius is 15 inches. What will the car's maximum acceleration be under these conditions on a level road
A large tank is used to calibrate the reading from a flow meter. Measurements of the system weight as a function of time are made. Water enters the tank vertically from the flow metering system at a speed of 20 ft/sec through a 1.5 in.
If intake1=0m and intake2=0.5m, find the pressure required to fill the container when h=0.75m at both point 1 and 2. Assume the air is at atmospheric pressure until the water level passes intake 2 and the air follows isothermal compression.
A 55 KG bungee jumper leaps from a bridge. She is tied to a bungee cord that is 12 m long when unstretched, and falls a total of 31 m. Calculate the spring constant of the bungee cord assuming Hooke's law applies.
how many students have heights (a) greater than 72 inches, (b) less than or equal to 64 inches, (c) between 65 and 71 inches inclusive, (d) equal to 68 inches. Assume the measurements to be recorded to the nearest inch.
A 4 mgd water treatment planet is being designed for an overflow rate of 0.5 gpm/ft^2. If two circular sedimentation basins will be used at al times, what should be the diameter of each basin
A piston-cylinder device contains 0.85 kg R-134a at 263K. The piston is free to move and has a mass of 12 kg and diameter of 25 cm. The atmospheric pressure is 98 kPa. Heat is added to the cylinder until the R-134 temperature = 10 o C.
A rectangular copper specimen (Table 1--> E=120GPa) is loaded in tension of 300MPa and then the load is removed. The total plastic strain in the unloaded specimen is e=0.25.
An oil storage area abandoned 19 yrs ago had oil spilled on the ground and saturated the soil at a concentration of 400mg/kg of soil. A recent soil sample shows a concentration of 20mg/kg.
Consider a small town in the Phillippines, where the average weight of people is 55 kg, and the average lifespan is 60 years. The people here eat lots of fish due to abundant availability from the local river.
Draw the shear diagram for the shaft. The bearings at and exert only vertical reactions on the shaft
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