For an incompressible fluid flow, velocity field and x and z components of velocity are given below. Derive the y-component of velocity. V(x,y,z) = u(x,y,z)i+v(x,y,z)j+w(x,y,z)k u(x,y,z) = –xy² + 2xz и w(x,y,z) = xy+y+3z
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- Suppose that you release a small ball from rest at a depth of 69.4 m below the surface in a pool of water (with density pwater) near the surface of the Earth. If the density of the ball is 1/3 the density of water (i.e., Pball = (1/3)pwater), how long does it take the ball to reach the surface? Express your answer in seconds, to at least one digit after the decimal point.The wing span of an Airbus A300 is 44.8 m.a) What area is swept out per second when the plane is in level flight at 250 m s-1?A balloon filled with helium gas has an average density of ρb = 0.39 kg/m3. The density of the air is ρa = 1.23 kg/m3. The volume of the balloon is Vb = 0.045 m3. The balloon floats upward with acceleration a. a.) Express the acceleration of the balloon a in terms of the variables given in the problem statement, assuming upwards is the positive direction. b.) Calculate the numerical value of a in m/s2.
- SolveNeed help with number one. I have to Derive the expression for the force in the hydraulic cylinder AB as a function of theta.Drag Force: A spherical particle of radius 5.9 cm and a mass of 226 g is moving through a fluid of the same density. (This means you can ignore the effects of gravity.) The position of the particle is given by x (t) 1 In (1+ bvot), where x is its position and t is the elapsed time. The initial speed vo is 27.8 m/s, and the constant b is 0.3 m-1. (b) What is the velocity of the particle after 3.3 seconds? (c) What is the acceleration of the particle after 3.3 seconds?
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- GgThe wing span of an Airbus A300 is 44.8 m.a) What area is swept out per second when the plane is in level flight at 250 m s-1?Inside the wall of a house, an L-shaped section of hot-water pipe consists of three parts: a straight, horizontal piece h = 28.0 cm long, an elbow, and a straight vertical piece l = 152 cm long (figure below). A stud and a second-story floorboard hold the ends of this section of copper pipe stationary. Find the magnitude and direction of the displacement of the pipe elbow when the coordinate system with it's origin at the elbow, the +x-axis to the right in line with the horizontal water flow is turned on, raising the temperature of the pipe from 18.0°C to 43.6°C. (Assume pipe and the +y-axis going upward.) 0.6568 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. mm 79.57 magnitude direction ° (clockwise from the +x-axis) Need Help? Read It