Problem 4 A water bug is smpended on the swrfece of a pond by varfnoe tension (water does not wet e leg). The bug has sis lag, and endh leg is contect with the water ever a lenath of 5 mm. What is the masimm mass (in ps) of the bog if it in to avoid sinking
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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.Show complete solution and 3 decimal places for the final answer. Asap thanks! A truck carrying fully-filled water container that is 2.5m long, 2.5m wide, and 2m high. The entire mass is 3000kg encountered an unbalanced force of 15kN. Estimate the acceleration in m/s^2.When using the method of repeated variables in a problem, it is determined that one of the independent Πs is given by the product between the independent variable lift force FL [N], and the repeated variables density ρ [kg/m3], velocity V [m/s], and area A [m2]. Remembering that Πs are given by the product of the primary dimensions raised to the zero power, of the type m0L0t0 T0, determine this independent Π. (the form is in the side picture)
- QUESTION ONEUse dimensional analysis and chain link conversion to perform the indicatedconversions.A. 0.8mile/hour to m/sB. 0.0065km2 to m2C. 5500cm3 to m3D. 435000m2 to km2 QUESTION TWOA person in a kayak starts paddling, and it accelerates from 0 to 0.8 mile/hour in adistance of 0.8km. If the combined mass of the person and the kayak is 80kg, whatis the magnitude of the net force acting on the kayak? QUESTION THREEDiscuss three (3) applications and limitations of dimensional analysis?QUESTION FOURState the principle of homogeneity of dimensions? QUESTION FIVEA. A value of the acceleration of free fail g was determined by measuring the periodof oscillation T of a simple pendulum of length l. The relation between g, T andl is given by: ? = 4?(? /?2) In the experiment, l was measured as 0.55±0.02 m and T was measured as1.50±0.02 s. Find the:i. Value of gii. Uncertainty in the value of g B. (a) State newton’s second law of motion and write an equation.(b)Define the term INERTIA. (c)…The Reynold's number of a sphere falling in air is 1E6. If the sphere's radius is 1ft, what is its velocity? Density of air is 0.00234 slug/ft³ and viscosity of air is 3.8E-7 lbf-sec/ft²A. 2.5 ft/sB. 5.1 ft/sC. 40.6 ft/sD. 81.2 ft/sLiquid biofuel (density= 789 kg/m3) is being pumped from a storage tank through a pipe with 1-inch innerdiameter (ID). The fuel is being pumped at a rate of 3.00 gallons per minute. In this process, what is thekinetic energy transport rate (Ėk) in units of horsepower (hp) and ft•lbf/sec.
- 1. A lead cube has a total mass of 64 kg. What is the Length of its side in cm? specific gravity of lead = 7.27. 2. If the viscosity of water at 70 degrees celsius is 0.0077 poise and its specific gravity is 0.453, determine its kinematic viscosity in stokes.A 45 grams (0.045 kg) golf ball of diameter equal to 43 mm fell into a 2m deep lake. Neglect inertia at the moment of impact. Assume viscosity of 1.12x10-3 Ns/m2 , water density of 1,000 kg/m3 and Cd=0.5. Sphere volume equals 4π r³ /3. 1. How long will it take from the moment it hits the surface until it gets to the bottom? 2. If one estimates the Cd with Cd=24/Re formula, the settling velocity would be unrealistically large. Why?1. A special-purpose piece of laboratory glassware, called a pyncnometer; is used to measureLiquid densities. It has a volume of 25 cc, and a mass of 17 .24 g when it is full of air. Whenfilled with a liquid of unknown density, its mass = 45.00 g. What is the density of this liquid?How large an error do we make if we ignore the mass of the air that was in it when we weighed itand found m = 17.24 g?
- % ParametersD = 0.1; % Diameter of the tube (m)L = 1.0; % Length of the tube bundle (m)N = 8; % Number of tubes in the bundleU = 1.0; % Inlet velocity (m/s)rho = 1.2; % Density of the fluid (kg/m^3)mu = 0.01; % Dynamic viscosity of the fluid (Pa.s) % Define the grid size and time stepdx = D/10; % Spatial step size (m)dy = L/10; % Spatial step size (m)dt = 0.01; % Time step size (s) % Calculate the number of grid points in each directionnx = ceil(D/dx) + 1;ny = ceil(L/dy) + 1; % Create the velocity matrixU_matrix = U * ones(nx, ny); % Perform the iterationsfor iter = 1:100 % Calculate the velocity gradients dUdx = (U_matrix(:, 2:end) - U_matrix(:, 1:end-1)) / dx; dUdy = (U_matrix(2:end, :) - U_matrix(1:end-1, :)) / dy; % Calculate the pressure gradients dpdx = -mu * dUdx; dpdy = -mu * dUdy; % Calculate the change in velocity dU = dt * (dpdx / rho); % Update the velocity matrix U_matrix(:, 2:end-1) = U_matrix(:, 2:end-1) + dU; % Apply…Hydrostatic pressure at any given depth of a liquid depends on the_____ of the container.a)Volumeb)ShapeC)Depthd)All of the above .As the temperature of oil increases, the viscosity of oil willa) increaseb) decreaseC)not change Which of the following units would NOT be used for volume flow rate?a) gal/minb) Ib/sc)m⅗d)ft^3/s 2.Dynamic viscosity is defined as,a) weight per unit volume of a fluidb) volume per unit weight of a fluidc) the velocity gradient divided by the shearing stress of a fluidd)the shearing stress divided by the velocity gradient of a fluidThe sketch shows an oil manometer that is connected between two pipes which transport water. The density of water can be taken as 998kg/m3, the specific gravity of glycerol is 0.76 and atmospheric pressure is 100 kPa. The respective dimensions (as shown on the sketch) are given below: h1 = 0.17 m h2 = 350 mm h3 =15cm. From the given data, calculate the pressure difference between the two pipes.