choose whether the statement is true or false and discuss your answer brieflyGeometric similarity is a necessary condition for kinematic similari ty.
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choose whether the statement is true or false and discuss your answer brieflyGeometric similarity is a necessary condition for kinematic similari
ty.
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- choose whether the statement is true or false and discuss your answer brieflyGeometric similarity is a necessary condition for kinematic similarity.choose whether the statement is true or false and discuss your answer briefly. Kinematic similarity is a necessary and sufficient condition for dynamic similarity.Ship whose full length is 100 m is to travel at 10 m/sec. For dynamical similarity, with what velocity should a 1:25 model of the ship be towed?
- Which choice is not a scaling parameter used to nondimensionalize the equations of motion? (a) Characteristic length, L (b) Characteristic speed, V (c) Characteristic viscosity, ? (d ) Characteristic frequency, f (e) Gravitational acceleration, gHow do you get from equation 3.1.1 to 3.1.5? I understand that yoy mutiply both sides by Ui, but I'm confused on the math that is done to bring Ui into the partial derivative. Please show all intermediate steps.A stirrer is used to mix chemicals in a tank let tank diameter Dtank and average liquid depth htank. The shaft power W . supplied to the stirrer blades is a function of stirrer diameter D, liquid density ? ,liquidviscosity ? , and the angular velocity ? of the spinning blades.Use the method of repeating variables to generate a dimensionless relationship between these parameters. Show all your work and be sure to identify your Π groups, modifying them as necessary.
- A stirrer is used to mix chemicals in a large tank. The shaft power W . supplied to the stirrer blades is a function of stirrer diameter D, liquid density ? ,liquidviscosity ? , and the angular velocity ? of the spinning blades.Use the method of repeating variables to generate a dimensionless relationship between these parameters. Show all your work and be sure to identify your Π groups, modifying them as necessary.How do you derive the Kinematic Differential Equation of the Euler Parameters? I just want to know how we get the final matrix. For e4dot, e4 = (1/2)sqrt(1 + C11 + C22 + C33), e4dot = (1/4)*(1 + C11 + C22 + C33)^(-1/2) * (C11dot + C22dot + C33dot). From the C11dot, C22dot, and C33 dot equations we get e4dot = -(1/2)*(w1e1 + w2e2 + w3e3). I get how to get e4. How do I get the other 3 Euler Parameters? Please give detailed steps. The final equations should look like the image.List and describe the three necessary conditions for complete similarity between a model and a prototype.
- Give Justification for performing a geometrically scaled model rather than the full-scale prototype in the technique of dimensional analysis and similarity.Write the primary dimensions of each of the following variables from the field of thermodynamics, showing all your work: (a) energy E; (b) specific energy e = E/m; (c) power W . .Dimensional analysis can be used in problems other than áuid mechanics ones. The important variablesaffecting the period of a vibrating beam (usually designated as T and with dimensions of time) are the beamlength `, area moment of inertia I, modulus of elasticity E, material density , and Poissonís ratio , so thatT = f cn(`; I; E; ; )Recall that the modulus of elasticity has typical units of N/m2 and Poissonís ratio is dimensionless.(a) Find dimensionless version of the functional relationship.(b) If E and I must always appear together (meaning that EI is e§ectively a single variable), Önd a dimensionless version of the functional relationship.