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The Manning equation can be written for a rectangular open channel as
where
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- In a flow channel, the density of fluid at entry is equal to the density of fluid at exit for an incompressible fluid. Select one: O True O Falsearrow_forward2) A single degree of freedom mechanical system is provided in the figure, with coordinate markings. Note that all the cables are inflexible, and I, stands for the total inertia of the concentric pulleys. y m 2m mo 3r 2k k momo ||| equivalent system: keq meq Ceq x b) Express the coordinates y and 0 as a function of the generalized coordinate, x. d) Following an energy equivalence approach, and using the coordinate transformations obtained in part (a), determine the equivalent mass, the equivalent spring stiffness, and the equivalent damping coefficient. e) Express the equation of motion of the system, using x, the downward displacement of the block (2m) from the system's equilibrium position as the generalized coordinate. (Use symbolic expressions and show your work, do NOT generate the response).arrow_forwardc) Calculate the equations of internal shear force V(x) and bending moment M(x). Type the mathematical expressions or constants, following the defined sign convection. Section AB: Internal shear force equation: V(x) = Internal bending moment equation: M(x) : Section BC: Internal shear force equation: V(x) Internal bending moment equation: M(x) = = N N N*mm N*mmarrow_forward
- Tp = Fq +°P/Q• (1) Here ip/Q is the "position of point P relative to point Q." Similarly the velocities of the two points are related by õp = bq + Up/Q- (2) The quantity õp/Q is the velocity of point P relative to point Q. I want you to use these ideas to solve the following problems. 1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the crew on the ship can get exercise on long journeys, there is a circular walking/running track on the back deck. CA B- -D Suppose that the radius of the track is R = 6 m, and a person is running on the track at a constant speed of v = 3m/s as measured with a stopwatch by a crew-mate on board the ship. Suppose the runner is running counter-clockwise around the track when viewed from above. Write the velocity vector of the runner in terms of basis (ê1, ê2) as perceived by a crew-mate on the ship. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is…arrow_forward. I am planning to perform some volume-flow rate measurements in the Fluid Mechanics Laboratory. For this, I need a volumetric measuring tank (graduated cylinder) and a stopwatch. I considered the volume of the measured tank as 15 gallons and a stopwatch with reaction time as 1/10th of a second (though resolution of 1/1000th of a second). What is the volume flow rate if it takes 5 minutes to fill a 15-gallon of tank? Determine the smallest division to be on the tank in order to estimate the volume flow rate within an accuracy of ± 0.05 gpm.arrow_forwardCauchy's ΣF ) equation of motion : pDV/Dt =pg + VT (like pa Newtonian viscous stress relations by the tensor relation : Ti j = - pôij + µ[Əvj/əxi + əvi/axj] where dij is the kroneker delta function (1 for i = T includes pressure and viscous surface forces. into Cauchy's equation, and assume constant viscosity, to get the Navier-Stokes vector eq'ns : pDV/Dt Pg -vp + μ^2 V the acceleration DV/Dt av/at+ (VV)V, which for steady state flow gives DV/Dt =(V.) V. Because (VV) V is a non-linear term on the LHS of the N-S equation Reynolds Number RepVL/μ, a measure of the ratio of inertial to viscous forces. : Patm 10^5 = = N = N = ; pwater 1000; pair 1.2; μwater 10^-3 N s/m^2 ; Hair 2 x 10^-5 N•s/m^2 ; g 9.8 m/s^2 = j; 0 for i j ); Narrow_forward
- Pl. The volume of liquid, V, in a partially filled, horizontal, cylindrical tank of radius and length I is related to the depth of the liquid, h, at the center line of the cylinder by the formula v-[r³ cos (*=h) - (r-n)√2h-²³ - V- Develop a Python function to create a plot of liquid volume versus depth. Here are the first few lines: import numpy as np def cyltank (z, L,plot_title): create a plot of the volume of liquid in a horizontal, cylindrical tank from empty to full tank inputs: x = inside radius of tank L = length plot title string for title of plot Test your program with cyltank (3, 5, 'Volume vs. Depth for Horizontal Cylindrical Tank')arrow_forward4:30 O M docs.google.com/forms/d/e 1.25 rad/s 5 rad/s 2.5 rad/s 20 rad/s 10 rad/s A traveling wave on a taut string with a tension force T is given by the wave function: y(x,t) = 0.1sin(4x+100t), where x and y are in meters and t is in seconds. The linear mass density of the string is u = 0.1 Kg/m. If the tension is multiplied by a factor of four, while keeping the same amplitude, same wavelength, and same linear mass density, then the new power of the wave, is 500 W 125 W 1000 W 2000 W 250 W Page 2 of 2 IIarrow_forwardFor the tutorial question, assume the inputs are: A = 0.75 [m] ; B = 1.03 [m] ; C = 0.685 [m] ; U = 33.5 [km/hr]; ANSWER: 1A) In the gradient equation of the keel L(z) = A + B · z; A = 1B) and B = 2) If Re_CR = ρ · U · L_CR; then L_cr [m] = 3A) To determine D_S, one needs first to calculate C_f_l(z). In the equation C_f_l(z) = D / l(z)^(-0.2) + E / l(z); D = 3B) and E =arrow_forward
- P2: In the system shown, the beam is subjected to three support reactions (caused by different external effects), as shown. The values of forces are reported as: F-5.79 kN, Fm= 9.64 kN, and Fc= 11.6 kN. Draw the Shear Force, V(x), and Bending Moment, M(x), diagrams. ➜] FA 2 m Fa Fc 1.40 marrow_forward50 mm x 10 mm [Ans. 18.6 mm from bottom of the flange] 3. A channel section 300 mm x 10 mm is 20 mm thick. Find the centre of gravity of the section from the back of the web. [Ans. 27.4 mm]arrow_forwardO d.200 [N] The beam shown in the figure is subjected to two forces. What would be the resultant moment about point A produced by the two forces. F = 375 N F = 500N %3D %3D 5. 8 m 6 m -5 m- Select one: O a. -8600 N.m O b. 2600 N.m O c. 875 N.m O d. 4589 N.m. The moment of the force F=360-lb about the point O in Cartesian vector form is. 12:30 AM 18/4/2021arrow_forward
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