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Each of Problems 15 through 18 gives the parameters for a forced mass—spring--dashpot system with equation in
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- An aluminum wire having a cross-sectional area equal to 4.60 x 10-6 m? carries a current of 7.50 A. The density of aluminum is 2.70 g/cm³. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire. 1.95E-4 The equation for the drift velocity includes the number of charge carriers per volume, which in this case is equal to the number of atoms per volume. How do you calculate that if you know the density and the atomic weight of aluminum? mm/sarrow_forwardSITUATION 1 (Fluid Flow in a Closed Conduit) Consider a fluid, with density (p) of 998.21 kg/m³ and dynamic viscosity (u) of 1.002 x 103 N-s/m², flowing in a 2000-meter long, 50-mm diameter smooth round pipe with velocity of 2.5 m/s. The energy loss on the pipe flow (he) due to friction between the pipe and the fluid is determined using Darcy-Weisbach equation, given as h₁ = f (²) (1/1) where f is the friction factor, L is the length of the pipe, D is the diameter of the pipe, V is the velocity of the flow, and g is the gravitational acceleration. The friction factor may be determined using an empirical equation developed by Nikuradse for flow in smooth pipes, given as 1 =0.869 In (Re√7)-0.8 where Re is the Reynolds number of the flow, determined as VDp R₂ = μl The friction factor equation given is only valid for flows with Reynolds number higher than 4000 (turbulent flow). Guide Questions: Determine the Reynolds number of the flow. Is the Nikuradse equation for friction factor…arrow_forwardAns [3.43A , 0.506 , 2.12A , 0.942] Q16/ The star-connected rotor of a 3-phase induction motor has a resistance and standstill reactance 0.4 Q/phase respectively. The e.m.f. induced between the slip rings at standstill is 80V, the stator being connected to a normal supply voltage. Find the rotor current and power factor at starting when the rings are (i) short-circuited (ii) joined to star-connected Ans [18.25A , 0.16,7.76 , 0.91] resistance of 52/phase.arrow_forward
- The cross-sectional area: A = (π/4) d^2arrow_forwardI need the answer as soon as possiblearrow_forwardProblem 3 In class, we solved for the vorticity distribution for a "real" line vortex diffusing in a viscous fluid. Integrate this vorticity distribution to find the tangential velocity as a function of radius. Plot the velocity distributions for a a line vortex of circulation 0.5 mls in 20 °C air for times of 1, 10, and 100 seconds.arrow_forward
- 2. The Lorenz equations originating from models of atmospheric physics are given as follows: dr = 10 (y - 2) dt (2a) %3D dy 28r – y -rz (2b) dt dz ay - 2.6666672 (2c) dt with initial conditions r(0) = y(0) = 2(0) = 5. (a) Evaluate the eigenvalues of the Jacobian matrix at t = 0. Is the problem stiff? Estimate the maximum time step that can be selected to keep the solution stable when the fourth-order Runge-Kutta method is used. (b) Solve the given system to t = 50 using the fourth-order Runge-Kutta method. Set the time step to 0.1. Plot the solution. All three functions (2(t), y(t), z(t)) should be present on one plot. • Set the time step to 10 3 and 10 6. Plot r(t) obtained at the three time steps (the first one is 0.1 from above) on one plot. Describe the behaviour. How does the value of the time step affect the result? Set the time step to 10-6 and use the initial conditions r(0) = y(0) = 5.0 and 2(0) = 5.00001. Plot z(t) obtained at the two different sets of initial conditions on…arrow_forwardSolve botharrow_forwardFind the differential equation from the transfer of the function for the Giving following system and draw the block diagram of the system. 3 H = x(s) u(s) 0.5s + 1arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr