The velocity, v, of a falling parachutist is given by v=: gm I m)t where g 9.8067 m/s?. Given the mass, m of the parachutist is 70kg, %3D velocity, v = 40 m/s at timet 10 s, find the drag coefficient, c by using the Bisection method.
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- 5.19 Suppose that the graph below shows measured values of for air in forced convection over a cylinder of diameter D. plotted on a logarithmic graph of as a function of ReD Pr. Write an appropriate dimensionless correlation for the average Nusselt number for these data and state any limitations to your equation.Under a laminar flow, the liquid flows through small holes. It has a triangular cross-section, width b and length L, where the volumetric flow rate Q of the flow is a function of viscosity. ,pressure reduction per unit length p/L and width b 1) Use the PI theory to write the relationship as a dimensionless variable. 2) if the width b is doubled by viscosity And the pressure drop per unit length p/L is the same. I want to know how the flow rate Q will change.When a liquid in a beaker is stired, whirlpool will form and there will be an elevation difference h, between the center of the liquid surface and the rim of the liquid surface. Apply the method of repeating variables to generate a dimensional relationship for elevation difference (h), angular velocity (@) of the whirlpool, fluid density (p). gravitational acceleration (2), and radius (R) of the container. Take o. pand R as the repeating variables.
- Parts for each product Homework 1 n produce dryer plant Can for each product castiens Then each product is assembled in its dedicated washing and dryer A machines. Difterent are manufactured by press and motor ly sechon. The the monthly capacity of different sections are: washing machine or looo dryer machine Press section: 100 - Motor section: 1600 washing machine or 7o00 drjer machine machine assembly line: goo0 machine washing druer machine assembly line: 5000 machine washing 1, profit for each unct of washing and dryer machines is 270 and 300 respectively. Formulate a linear programming problem for Find ing how many washing and dryer machines should be produced many washing to maximize total plant's profit. 2.A A Post Company need to transfer 30000 boxes with two each truck presented of olifferent trucks. Chavactenistics problem for The table below. Formulate a linear programming each truck to optimum nunber of minimIze total Cost.Given: The plane accelerates in its current trajectory with a= 100 m/s^2 Farag Angle theta= 5° W=105 kips F_drag= 80 kips m= 1000 lbs Find: F_thrust, F_lift Please include the KD. Fthrust Futel t Fueight 000 BY NC SA 2013 Michael Swanbom1. The thrust of a marine propeller Fr depends on water density p, propeller diameter D, speed of advance through the water V, acceleration due to gravity g, the angular speed of the propeller w, the water pressure 2, and the water viscosity . You want to find a set of dimensionless variables on which the thrust coefficient depends. In other words CT = Fr pV2D² = fen (T₁, T₂, ...Tk) What is k? Explain. Find the 's on the right-hand-side of equation 1 if one of them HAS to be a Froude number gD/V.
- b) When a liquid in a beaker is stirred, whirlpool will form and there will be an elevation difference h, between the center of the liquid surface and the rim of the liquid surface. Apply the method of repeating variables to generate a dimensional relationship for elevation difference (h), angular velocity (o) of the whirlpool, fluid density (p), gravitational acceleration (g), and radius (R) of the container. Take o, p and R as the repeating variables.The figure shows a plot of potential energy U versus position x of a 0.270 kg particle that can travel only along an x axis under the Influence of a conservative force. The graph has these values: UA9.00 ). Uc 20.0 J and Ug 24.0J. The particle is released at the point where Uforms a "potential hill" of "height" Ua 12.0J. with kinetic energy 7.50 J.What is the speed of the particle at la) -3.50m and (b)x - 6.50 m? What is the position of the turning paint on (c) the right side and (d) the left side?Given the following measurements of velocity for a falling object with m = 3kg: v, meters/seconds t, seconds 0 -1.424 -2.778 -4.068 -5.274 -6.426 -7.519 0 0.05 0.10 0.15 0.20 0.25 0.30 Use 4th Order Runge-Kutta to approximate the coefficient of drag, k, given the model: mv' = -mg - kv Approximate the terminal velocity and the time to reach terminal velocity of the falling object. Use g = 9.81m/s².
- #4 1.11 For a small particle of styrofoam (1 lbm/ft) (spherical, with diameter d = 0.3 mm) falling in standard air at speed V, the drag is given by FD-3mVd, where is the air viscosity. Find the maximum speed starting from rest, and the time it takes to reach 95 percent of this speed. Plot the speed as a function of time. s) Answer: (Vmax=0.0435",t=0.0133 SGIVE ME THE COMPLETE SOLUTION FOR THISTHIS IS THE ANSWER ACC TO THE ANSWER KEY I JUST NEED HELP FOR THE SOLUTION Theta3/T = ((5*s^2 + 9*s + 9))/(15*s^5 + 47*s^4 + 117*s^3 + 161*s^2 + 81*s)The mass and stiffness matrix of the system is given by: M = and m2 k, +k, -k, K = -k, k, +k, Take m1 =10 kg, m2-5 kg, k1=k3=100 N/m, k2=84 N/m Use modal analysis and determi ne: a) The normalized stiffness ki b) Its eigenvalues and eigenvectors