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.
Q: The solubility of oxygen in water is a function of the water temperature. Let S represent the…
A: Refer the next page for MATLAB code.
Q: 24.53 For fluid flow over a surface, the heat flux to the surface can be computed as dT J = -k- dy…
A: As per the guidelines we will answer the first question for you, for the other question kindly…
Q: 05: A prototype ship is 35 m long and designed to cruise at 11 m/s. Its drag is to be simulated by a…
A:
Q: The traditional "Moody-type" pipe friction correlation in Chap. 6 is of the form 2APD f = pVL (pVD и…
A: PART A- Given that,
Q: 04: Use dimensional analysis to show that in a problem involving shallow water waves (Figure 1),…
A:
Q: 5.28 A simply supported beam of diameter D, length L, and modulus of elasticity E is subjected to a…
A: 1 We know Deflection depends on diameter,length,velocity,density,modulus of elasticity and…
Q: The population P in thousands of Tallahassee, Florida, from 2000 through 2014 can be modeled by P =…
A: Given, P=150.9ekt Note: P is in thousands, which means if P=1, the population is 1000. a) At yeat…
Q: The following data was obtained from wind tunnel testing of a scale model: Air speed (m/s) Drag…
A: The following data was obtained from wind tunnel testing of a scale model: Air speed (m/s) Drag…
Q: Here I'm finding final kinetic energy KE2, given initial kinetic energy, initial force, alpha N/m^3…
A: Given data Fo=-3.5*106 NF(x) = αx3+β where α = 6.1*10-9 N/m3 β = -4.1*106 Ninitial K.E. =…
Q: Time, t(s) Temperature, T(C) 196 1 184 166 3 148 4 132 122 10 67 15 41 20 25 2.
A: (a) The independent variable is time in second The dependent variable is temperature in °C.
Q: A 1:30 model of a ship is made. The real ship has a hull length of 130 m and travels at 7.9 m/s.…
A:
Q: From Fourrier's law, the rate of heat transfer in pl. is described by: Q = S(k,A,AT, x) where k =…
A: Given Data⇒ Fourier's law of heat transfer : Q=fk,A,∆T,x We want to use Buckingham's Pi theorem to…
Q: b) The flood data and base flow in a storm are estimated for a storm in a catchment area of (last…
A: Question (B) is Solved here.
Q: gm (e/m)t C) The velocity of a falling parachutist is given by v="-etelm ], where g= 9.8 m/s. For a…
A: False-Position method is used to arrive the solution. Correct answer: a) 68.1
Q: Here is an example with some data. Make a plot of the data and fit a curve (lin Sandwich Total Fat…
A: For the given data, best fit line is needed to be calculated. The given data is plotted and…
Q: ᴀ ᴘᴜᴍᴘ ᴡɪᴛʜ ᴀ 400 ᴍᴍ ᴅɪᴀᴍᴇᴛᴇʀ ꜱᴜᴄᴛɪᴏɴ ᴘɪᴘᴇ ᴀɴᴅ ᴀ 350 ᴍᴍ ᴅɪᴀᴍᴇᴛᴇʀ ɪꜱ ᴛᴏ ᴅᴇʟɪᴠᴇʀ 20,000 ʟ/ᴍɪɴ ᴏꜰ…
A:
Q: The SCAL results for a core sample taken from an exploration well is as follows : Capillary…
A: Solution: Given data: Pc (capillary pressure) (psi) Water saturation…
Q: The laminar pipe flow example of" design a capillary viscometer|. If Q is the volume flow rate, L is…
A: Write the given formula for viscosity of the fluid in the laminar pipe flow.
Q: A rectangular block of height Land horizontal cross-sectional area A floats at the interface between…
A: Given data as per question The density of the first fluid = p1 g/cm3 The density of second fluid =p2…
Q: The torque transmitted to an induction motor is a function of the slip between the rotation of the…
A: Data given - T ={ 15s(1-s) } / {(1-s) (4s2 - 3s +4 ) T = 15 s /(4s2 - 3s +4 )
Q: Check the following equation for dimensional homogeneity: mv = [" (Fcost) at where m is mass, v is…
A: Given data: m v = ∫t1t2 F cos θ dt Where m is mass , v is velocity,F is force, θ is angle, and t…
Q: You are designing a spherical tank (Fig. P6.19) to hold water for a small village in a developing…
A:
Q: An experiment was conducted on a new correlation of a particular make of pump to determine the flow…
A: The fluid flowing per second through a channel or segment of a pipe is described as the discharge or…
Q: 16. Dimensionless parameters are also termed as A. Buckingham n - Group parameters B. Similarity…
A: as per guidelines we are supposed to answer only three questions of MCQ multi questions. 1.…
Q: problem: A ship of (120 m) long moves through a fresh water (p = 1000 Kg/m³, µ = 1.14*103 Pa.s) at a…
A: For complete dynamic similarity, the Reynolds number and Froude number are matched. The Reynolds…
Q: The thrust force of propeller (P) depends upon the flow velocity V, angular velocity o, diameter D,…
A: Diamensional analysis Dimensional analysis is a method of simplifying a physical problem by dividing…
Q: The mass and stiffness matrix of the system is given by: M and m2 k, +k, K = -k, -k, k, +k, Take m1…
A:
Q: A football, meant to be thrown at 60 mi/h in sea-level air( ρ = 1.22 kg/m 3 , μ = 1.78 E-5 N ? s/m 2…
A: Given: The velocity of the prototype is VP=60 mi/h. The density of the prototype is ρ1=1.22 kg/m3.…
Q: The differential equation for small-amplitude vibrations y(r, f) of a simple beam is given by a*y +…
A: Given: The beam material density is ρ. The cross sectional area is A. The area moment of inertia is…
Q: From Fourrier's law, the rate of heat transfer in plane surfaces is described by: Q = /(k, A, AT, x)…
A: The first step is to identify the dimensional variable, the non dimensional variable and the…
Q: A simply supported beam of dlame D, length L, and modulus of elasticity Eis subjected to a fluid…
A: Given Data and Solution (a):-
Q: O O O Suppose that the values of a smooth function fis known for x 0, 0.3, 0.6 and 1.2 Select the 3-…
A: As per our company guidelines we are supposed to solve 1 question only... As the given numeric…
Q: In Heat Transfer, the Nusselt number is the ratio of convective to conductive heat transfer across a…
A: Consider 'Lc' be the characteristic length across the boundary.h=convective heat transfer…
Q: wind tunnel, a 1:20 drag. at model is created and tested at the same air temperature in order to…
A: GIVEN:VP=20m/sVM=75m/sFD=214N
Q: Under a laminar flow, the liquid flows through small holes. It has a triangular cross-section, width…
A: Given that ; Volumetric flow rate Q of the flow is a function of viscosity μ ,pressure reduction…
Q: 25.25 Use the following differential equations to compute the velocity and position of a soccer ball…
A: The differential equations of motion for the soccer ball are given as: dydt=vdvdt=-g-cdmvv The…
Q: P5.72 A one-twelfth-scale model of a large commercial aircraft is tested in a wind tunnel at 20°C…
A:
Q: The drag of a sonar transducer is to be predicted, based on wind (Air) tunnel test data, The…
A:
Q: A football, meant to be thrown at 60 mi/h in sea-level air( ρ = 1.22 kg/m 3 , μ = 1.78 E-5 N . m 2…
A: Given: The density of prototype is ρp=1.22 kg/m3. The dynamic viscosity of prototype is µp=1.78×10-5…
Q: A population numbers 13,000 organisms initially and grows by 16.2% each year. Suppose P represents…
A: A function in the form of f(x)=ax is termed as an exponential function, where a is any constant that…
Q: Poisson ratio for the perfectly incompressible
A: Given; Poisson's ratio is the ratio is defined as longitudenal to lateral strain.Where, Posson's…
Q: In the regression equation, y-49.56+ 0.97x, the slope is A -0.97 B. 1.00 0.97 D. 49.56
A: Given regression equation is a straight line. Which is the form of standard form of The straight…
Q: (a) The Stokes number, St, used in particle-dynamics studies is a dimensionless combination of five…
A: Since we are allowed to answer one question at a time. We’ll answer the first question since the…
Q: For the drag force of an Aerobee rocket, D=0.00056v (Ib), obtain a linear model near v = 800 ft/sec…
A:
Q: Measurements at a certain point of a pipe have been done where the following parameters were…
A: Write the equation for total energy per unit weight. e=Pρg+v22g+z Here, e is the total energy per…
Q: Check the following equation for dimensional homogeneity: mv = [₁² ( (Fcose) dt where m is mass, v…
A: Dimensions of each term are written separately and then combined. Mass : unit (kg) Velocity: unit…
Q: Upon completion of the Reynolds experiment, we had this information. The tube diameter was 0.03 m,…
A: Given:d=0.03 mt=14 secQ=21*10-6 m3/sμ=0.8701*10-3 Pa.sT=26°CA=π4*0.032A=7.06858*10-4…
Step by step
Solved in 4 steps with 4 images
- The drag on an airplane wing in flight is known to be a function of the density of air (), the viscosity of air(), the free-stream velocity (U), a characteristic dimension of the wing (s), and the shear stress on the surface of the wing (s). Show that the dimensionless drag, sU2, can be expressed as a function of the Reynolds number, Us.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.
- The Stokes number, St, used in particle-dynamics studies is a dimensionless combination of 5 variables: acceleration of gravity g, viscosity μ, density p, particle velocity U, and particle diameter D. If St is propotional to μ and inversely proportional to g, find its dimensionless form.The thrust F of a Free propeller, either aircraft of marine, depends upon density ρ, the rotation rate n in r/s, the diameter D, and the forward velocity V. Viscous effects are slight and neglected here. Tests of a 25-cm-diameter model aircraft propeller, in a sea-level wind tunnel, yield the following thrust data at a velocity of 20 m/s : Rotation Rate, r/min____4800____6000____8000 Measured thrust, N____6.1____19____47 Use the dimensionless data to predict the thrust, in Newtons, of a similar 1.6-m-diameter prototype propeller when rotating at 3800 r/min and flying at 225 mi/h at 4000-m standard altitude.Measurements at a certain point of a pipe have been done where the following parameters were recorded: Fluid of density = 887 kg/m3, Fluid velocity = 4 m/s, Pressure= 11.3 KN/m2 If the total energy per unit weight at this point = 32 m, then the potential energy is:
- If you disturb a tank of length L and water depth h , thesurface will oscillate back and forth at frequency Ω ,assumed here to depend also upon water density ρ and theacceleration of gravity g . ( a ) Rewrite this as a dimensionlessfunction. ( b ) If a tank of water sloshes at 2.0 Hz onearth, how fast would it oscillate on Mars ( g ≈ 3.7 m/s 2 )?Problem statement : A simple flow-measurement device for streams and channels is a notch, of angle α, cut into the side of a dam, as shown in Fig. P5.69. The volume flow Q depends only on α, the acceleration of gravity g, and the height δ of the upstream water surface above the notch vertex. Tests of a model notch, of angle α = 55°, yield the following flow rate data: δ, cm: 10 20 30 40 Q, m3/h: 8 47 126 263 Part (A) - Find a dimensionless correlation for the data. (b) Use the model data to predict the flow rate of a prototype notch, also of angle α = 55°, when the upstream height δ is 3.2 m.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)
- A simply supported beam of diameter D , length L , and modulusof elasticity E is subjected to a fluid crossflow of velocityV , density ρ , and viscosity μ . Its center deflection δ isassumed to be a function of all these variables. ( a ) Rewritethis proposed function in dimensionless form. ( b ) Suppose itis known that δ is independent of μ , inversely proportionalto E , and dependent only on ρ V 2 , not ρ and V separately.Simplify the dimensionless function accordingly. Hint:Take L , ρ , and V as r e peating variables.The density of liquid water at 25 degrees celsius equals 62.2lbs/cube ft. Suppose the KD DF stud at the top of the page weighs 13.35lbs. And suppose the KD DF stud is thrown into a swimming pool, Twater=25 degrees celsius. Based on data would the stud: sink completely, partually. or float completelyAn airplane builder wants to build a scaled-down model of a real airplane in a 12:1 ratio in order to be able to perform tests in a wind tunnel. The real plane flies at 126 km/h, while the air speed in the tunnel where the model is located is given by V. The performances of the two will be equivalent for a value of V, in m/s, equal to Data: air viscosity η = 1.8 × 10-5 kg/(m.s) air density ρ = 1.3 kg/m3