Write the primary dimensions of each of the following variables from the field of
Answers: (a)
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Fluid Mechanics: Fundamentals and Applications
- Q(2) Complete the blank cells in the following table of properties of steam. In the last column describe the condition of steam as compressed liquid, saturated mixture, superheated vapor, or insufficient information; and, if applicable, give the quality. Р (кра) T ('C) v, m'/kg u, KJ/Kg Phase description 300 35 130.24 313.22 135 600 1.34139 275 0.500 600 3090arrow_forwardThis problem is (16.23) from a book "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"arrow_forwardHitting a Golf Ball A golf ball is hit so that its height h in feet after t seconds is h(1) = =16r² + 64t. (a) What is the initial height of the golf ball? (b) How high is the golf ball after 1.5 seconds? (c) Find the maximum height of the golf ball. (d) What is the domain and range of h in the con- text of this application?arrow_forward
- The stress profile shown below is applied to six different biological materials: Log Time (s] The mechanical behavior of each of the materials can be modeled as a Voigt body. In response to o,= 20 Pa applied to each of the six materials, the following responses are obtained: 2 of Maferial 6 Material 5 0.12 0.10 Material 4 0.08 Material 3 0.06 0.04 Material 2 0.02 Material 1 (a) Which of the materials has the highest Young's Modulus (E)? Why? Log Time (s) (b) Using strain value of 0.06, estimate the coefficient of viscosity (n) for Material 6. Stress (kPa) Strainarrow_forwardFit a power law model to the rheological behavior presented in the data: T [=]D/cm^2 y[=]1/2 1 3 2 - 3 30 4 52 5 80 6 100 7 130 8 160 9 175 10 190 11 218 12 240 13 265 (The second data in the table is not necessary to solve it.)Help yourself with matlab to solve it with the following formula: (Photo)arrow_forwardThermal conductivity k is a measure of the ability of a material to conduct heat. For conduction heat transfer in the x-direction through a surface normal to the x-direction, Fourier’s law of heat conduction is expressed as: Q=-kA.dT/dx where ?̇ is the rate of heat transfer and A is the area normal to the direction of heat transfer. Determine the primary dimensions of thermal conductivity (k). Look up a value of k and verify that its SI units are consistent with your result. Write a set of primary SI units for k.arrow_forward
- Physical Properties: https://education.wiley.com/player/index.html#/res;url=https:%2F%2Feducation.wiley.com%2Fcontent%2FBergman_Fund_Heat_Mass_8e%2Febook%2Fepub%2F9781119353881%2FOPS%2Fa01.xhtml%23headda01 Mathematical Functions: https://education.wiley.com/player/index.html#/res;url=https:%2F%2Feducation.wiley.com%2Fcontent%2FBergman_Fund_Heat_Mass_8e%2Febook%2Fepub%2F9781119353881%2FOPS%2Fa02.xhtml%23headda01arrow_forwardEnergy of a Roller Coaster Car 500 450 400 350 --- 3 300 250 E 200 150 100 50 6 8 10 Time (s) Mechanical Energy ....... Potential Energy -- Kinetic Energy This graph shows different types of energy for a roller coaster car that starts at the top of a large hill and goes down to its lowest point at 6 s. According to the graph, what is the most likely relationship between height and potential energy? Your answer: They are directly related. They are inversely related. There is no relationship between the two. There is not enough information for a conclusion.arrow_forwardI posted this question six times and no body wants to try the last question. I only need question (e). I need the graph ONLY. The question is solved from (a) to (d). If you want the answers from (a) to (d) . Here it is: Answer : (a) 3.98675 bar (b) 927 kg/m3 (c) 43.83 m (d) (rho)(g) NOTE : Please I need the graph only. The last question (Question e). Atleast try it.arrow_forward
- Write the primary dimensions of each of the following variables from the field of solid mechanics, showing all your work: (a) moment of inertia I; (b) modulus of elasticity E, also called Young’s modulus; (c) strain ? ; (d) stress ?. (e) Finally, show that the relationship between stress and strain (Hooke’s law) is a dimensionally homogeneous equation.arrow_forwardFirst Order Differential Equations are inherent in almost all aspects of engineering, e.g., electronics (RC/RL circuits or charge/discharge of capacitors), thermodynamics (i.e., Newton’s Law of Cooling), mechanical systems (stress/strain) etc. In fact, virtually anywhere there are time varying dynamics. You need to demonstrate how different engineering systems models are used to solve them using first-order differential equations.arrow_forwardThe viscous torque T produced on a disc rotating in a liquid depends upon the characteristic dimension D, the rotational speed N, the density pand the dynamic viscosity u. a) Show that there are two non-dimensional parameters written as: T and a, PND? b) In order to predict the torque on a disc of 0.5 m of diameter which rotates in oil at 200 rpm, a model is made to a scale of 1/5. The model is rotated in water. Calculate the speed of rotation of the model necessary to simulate the rotation of the real disc. c) When the model is tested at 18.75 rpm, the torque was 0.02 N.m. Predict the torque on the full size disc at 200 rpm. Notes: For the oil: the density is 750kg/m² and the dynamic viscosity is 0.2 N.s/m². For water: the density is 1000 kg/ m² and the dynamic viscosity is 0.001 N.s/m². kg.m IN =1arrow_forward
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