Time lert 0:34:21 30 cm Q2) A U-tube contains water and another fluid of specific gravity 0.5 as shown in figure (a). Calculate the height h of the fluid when the U-tube is stationary. i) 5 cm ii) The U-tube now is rotated at an angular velocity in such a way that the water level will be equal in both sides as shown in figure (b). Determine the angular velocity (а) (b ) at this condition.
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- In a two-dimensional, incompressible flow field, the velocity is V = 2xy ỉ + vỷ where x, y are in meters and V, v in m/s. a) Determine the y component of velocity, v, if its value on the x-axis is zero. b) Determine the dilatation rate of a fluid element in this flow field. c) Determine if the flow is rotational or not. d) Explain why it is possible to define a stream function for this flow. y 1.0 e) Obtain the stream function for this flow. f) Plot the streamline passing through the point (1,1,1) by hand (approximately). State the value of the stream function for this streamline and mark the -1.0 1.0 x direction of the flow on the streamline. g) For this flow field, determine the magnitude of the average velocity of the -1.0 fluid crossing the surface BA shown on the right. B dv dw j+ (дх ду, ди ne D x = дх ди 1 Hint: U = - V = - ду ðy dz. др др ap ap + w: ду Dp ди + p(V ·V) at + (V · v)p + p(V ·7) at dv + ду + (u + v +p əx = 0 = Dt Əx v-(pV)d6. Please help answer this question, thank you so much!! :)
- An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4 cm and 4.8 cm, respectively. The ratio of minimum and maximum velocities of fluid in this pipe is a. √(3/2) b. 9/16 c. 3/4 d. √3/4Recitation An oak block had the following dimension, 2 cm by 2 cm and 5 cm in height. A copper block had the same dimensions. The copper block was on top of the wood block and both blocks were submerged tightly inside a water container. Find the average density of the composite block, average density total mass / submerged volume) %3D An oak olock had the following dimension, 2 cm by 2 cm and 5 cm in height. The oak block was floating on water. An insect landed on the oak block such that the oak block density became the same as water. The insect was not getting submerged and just stayed on top of the oak block, while the oak block was totally submerged. Find the mass of the insect using water density of 1 g/cc.A cubical block of wood, 10.0 cm on a slide, floats at the interface between oil and water with its lower surface 1.50 cm below the interface. The density of the oil is 0.79 gm-3. Calculate the absolute pressure at the upper face of the block
- 5. The density and height of the block shown in Figure are 750 kg/m³ and 21 cm respectively. The block floats face down in a fluid whose density is 1660 kg/m³. Evaluate the following: (i) The depth h at which the block submerged (ii) The acceleration of the block, if it is held fully submerged and then released Take acceleration due to gravity g = 9.8 m/s²Question 4 Fluids: A stone has an apparent weight of 803 N when submerged in fresh water (with a density of 998 kg/m^3), which then weighs 1385 N in air. What is the volume of the stone? Answer in m^3. Show solutions for this question Add your answerQ1