The velocity v (m/s) of air flowing past a flat surface is measured at several distances y (m) away Use Newton's viscosity law 2. from the surface. du dy to determine the shear stress t (N/m²) at the surface (y=0). Assume a value for the dynamic viscosity µ = 1.8 x 10-5Ns/m?. How does your answer change if you use more accurate finite differences? y (m) 0 0.002 0.006 0.012 0.018 0.024 u (m/s) 0 0.287 0.899 1.915 3.048 4.299

The velocity v (m/s) of air flowing past a flat surface is measured at several distances y (m) away Use Newton's viscosity law 2. from the surface. du dy to determine the shear stress t (N/m²) at the surface (y=0). Assume a value for the dynamic viscosity µ = 1.8 x 10-5Ns/m?. How does your answer change if you use more accurate finite differences? y (m) 0 0.002 0.006 0.012 0.018 0.024 u (m/s) 0 0.287 0.899 1.915 3.048 4.299

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 70CP: Parcels of air (small volumes of air) in a stable atmosphere (where the temperature increases with...

See similar textbooks

Related questions

Q: H An aluminum rod AB of diameter 4.7 inches is connected to a lever of length L = 5.7 feet. Consider…

Q: A thin rod extends from x =D 0 to x = 13.0 cm. It has a cross-sectional area A = 6.50 cm-. adits…

Q: A specimen of oil having an initial volume of 600cm3 is subjected to a pressure increase of 3.6 x…

Q: Q.4. The supersonic nozzle of the figure is overexpanded with AJA, = 3 and a stagnation pressure of…

A: Given data: Area ratio (Area at exit plane/throat area), AeAt=3 Stagnation pressure, P0=350 kPa…

Q: Compute the pressure in Nm2 required to compress a given volume of water V, to 99 percent of its…

Q: The differential change in pressure p close to the surface of a static fluid is given by the…

A: The differential change of pressure with respect to y is given by: dpdy=-3Ap2 Here, A is the…

Q: If the eardrum experiences a 1.5 N increase from the atmospheric pressure, it can be damaged. When…

A: Diameter of eardrum = 8.2 mm Atmospheric pressure = 101325 pa pascle=Nm2 Pressure at which ear will…

Q: Give answers in scientific notation. A sphere of copper is subjected to 120 MPa of pressure. The…

Q: How large a pressure must be applied to water if it is to be compressed by 0.1 percent? What is the…

A: The bulk modulus is

Q: what height of oil will be produced the same pressure as120mm Hg ? the oil density equal 0.9 form…

A: pressure = 120 mm of Hg density of oil = 0.9 times the density of water

Q: A cube made of an unknown material has a dimension of 6cm on all edges. If the upper surface is…

A: We are allowed to give the explanation of first question only which is given below. Please repost…

Q: (b) When measuring Young's modulus of a material it is common to use a specimen which is (1) very…

Q: The cross-sectional area of the bar is 5 cm?. Use E= 70 GPa for aluminum, and E= 200 GPa for steel.…

Q: Compute the bulk modulus of water from the following data: Initial volume = 100.0 litre, Pressure…

A: Given, P = 100 atmosphere = 100 x 1.013 x 105 Pa Final volume, V2 = 100.5 l = 100.5 ×10 –3 m3…

Q: From the diagram which shows pressure / time dependence find the beat frequency. Time is in seconds…

A: Beat frequency means number of beat hear in one second. From graph time period of one beat =.01…

Q: For flow over a plate, the variation of velocity with vertical distance y from the plate is given as…

A: The expression for the velocity distribution,

Q: Q3 Derive a formula for the deflection due to shear strain in a pressure loaded circular plate…

A: Find the attached solution. With the help of given formula and equations , you can get the answer.

Q: Artificial diamonds can be made by putting carbon in high-pressure high-temperature presses. Suppose…

A: Given:pressure = 6 GPa.Bulk modulus = 194 GPaVolume,v=1ccwhen you realease the pressure bring it…

Q: If the Junk modulus of Y is 160GPA and the shear modulus of elasticity is 0.25Y, what is the value…

Q: A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 *…

A: Given, Initial volume, V0=600 cm3, pressure increase, ∆P=3.6×106 Pa, and volume decrease, ∆V=0.45…

Q: A support beam is made of steel that has a Young's Modulus of 200 gigapascals [GPa\. The support…

Q: Artificial diamonds can be made using high-pressure, hightemperature presses. Suppose an artificial…

A: Bulk modulus is given by

Q: A copper wire of length 3 m and 1 mm diameter is subjected to a tension of 5 N. Calculate the…

A: Length = 3 m diameter = 1mm radius = 0.5 mm tension = 5 N Young's modulus of copper = 11×1010 Pa

Q: A cube of side length ℓℓ and density ρcρc is immersed in a fluid of density ρflρfl. Let hh be the…

A: Given data: The side of cube is l. The depth in water is h. The density of cube is ρc. The density…

Q: The pressure in an explosion chamber is 345M Pa. What would be the per cent change in volume of…

A: Let P be the pressure, B be the bulk modulus of the chamber, V be the volume.Write the expression…

Q: 6.75 For laminar flow in a pipe, wall shear stress (7,) causes the velocity distribution to change…

A: We have to apply momentum equation

Q: For a bronze alloy, the stress at which plastic deformation begins is 295 MPa and the modulus of…

Q: 1. A polycrystalline cylindrical rod 120 mm long and having a diameter of 10 mm is to be deformed…

A: Given data: The length of rod is l=120 mm. The diameter of rod is d=10 mm. Tensile force in rod is…

Q: A square flat plate of dimensions 1 m x 1 m is moving with a maximum speed , U causing a fully…

A: The given values are, A=1 m×1 m=1 m2ρ=1.2 kg/m3υ=1.5×10-5 m2/s

Q: Determine the volume contraction of a solid copper cube, 10cm on an edge, when subjected to a…

A: The bulk modulus is given by

Q: Q1. A bar of thickness 15mm and having a rectangular cross-section carries a load of 120KN.…

Q: A vertical U tube of uniform cross section contains water upto a height of 0.3m. Calculate the time…

A: GivenHeight H = 0.3 m

Q: Ql: A specimen made from Titanium with diameter 4 mm subjected to force of 2500 N. The specimen…

A: Given that, Diameter of specimen, d=4 mm⇒4×10-3 m Force applied, F=2500 N Elongation of specimen,…

Q: For a LEHI material, the principal plane stresses and associated strains in a plane at a point are…

Q: 1. A 100 mm deep stream of water (p = 1.14 x 10-3 Pa.s) is flowing over a boundary. It is considered…

A: Given depth(∆y)=0.1 m dynamical viscosity (μ)=0.00114 Pa s velocity at surface (∇v)=1.6 m/s…

Q: Part A The data below shows the laboratory data for a fluid obtained using a viscometer at 20°C and…

Q: t. Pc h Pfi

A: Given:- ρc= density of cube ρfl= density of fluid L= length of the cube Volume of the cube= Vc= L3…

Q: hanging wire made of an alloy of aluminum with diameter 0.05 cm is initially 3.0 m long. When a 7 kg…

A: Given :- The diameter d = 0.05 cm initial length L = 3.0 m The hanging wire mass m = 7 kg The…

Q: A)A steel rope which length is 7m and cross sectional area 0.16cm and young modulus 0.2 x10' N/m.…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: the surface is disturbed will be A 2A A/2 6g V6h+1 3g (2) V 3h +1 (1) 2g 3) V 3h + 21 3g (4) V 2h +…

Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

100%

The velocity v (m/s) of air flowing past a flat surface is measured at several distances y (m) away
from the surface. Use Newton’s viscosity law...to determine the shear stress ? (?/?2
) at the surface (y=0). Assume a value for the dynamic viscosity
? = 1.8 × 10−5??/?2
. How does your answer change if you use more accurate finite differences?

The velocity v (m/s) of air flowing past a flat surface is measured at several distances y (m) away
Use Newton's viscosity law
2.
from the surface.
du
dy
to determine the shear stress t (N/m²) at the surface (y=0). Assume a value for the dynamic viscosity
µ = 1.8 x 10-5Ns/m?. How does your answer change if you use more accurate finite differences?
y (m)
0 0.002 0.006 0.012 0.018 0.024
u (m/s) 0 0.287 0.899 1.915 3.048 4.299

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Explain why the viscosity of a liquid decreases with temperature—that is, how might increased temperature reduce the effects of cohesive forces in a liquid? Also explain why the viscosity of a gas increases with temperature—that is, how does increased gas temperature create more collisions between atoms and molecules?
(a) Using Bernoulli's equation, show that be measured fluid speed v for a pitot tube, like the one in figure 14.32(b), is given by v=( 2gh)1/h , where h is be height of be manometer fluid, p' is the density of the manometer fluid, p is the density of the moving fluid, and g is be acceleration due to gravity. (Note that v is indeed proportional to the square root of h, as stated in text) (b) Calculate v for moving air if a mercury manometer's h is 0.200 m. Figure 14.32 Measurement of fluid speed on Bernoulli’s principle. (a) A manometer is connected to two tubes close together and small enough not to disturb the flow. Tube 1 is open at the end facing the flow. A dead spot having zero speed is created there. Tube 2 has an opening on the side, so the fluid has a speed v across; thus, pressure there drops. The difference in pressure at the manometer is 12v22 , so h is proportional to . 12v22 (b) This type of velocity measuring device is a Prandtl tube, also known as a pitot tube.
Parcels of air (small volumes of air) in a stable atmosphere (where the temperature increases with height) can oscillate up and down, due to the restoring force provided by the buoyancy of the air parcel. The frequency of the oscillations are a measure of the stability of the atmosphere. Assuming that the acceleration of an air parcel can be modeled as 2zt2=g(z)0zz , prove that z=z0etN2 is a solution, where N is known as the Brunt-Väisälä frequency. Note that in a stable atmosphere, the density decreases with height and parcel oscillates up and down.
Explain why the viscosity of a liquid decreases with temperature, that is, how might an increase in temperature reduce the effects of cohesive forces in a liquid? Also explain why the viscosity of a gas increases with temperature, that is, how does increased gas temperature create more collisions between atoms and molecules?
A cube of side length l and density ?c is immersed in a fluid of density ?fl. Let ℎ be the height of the cube that is immersed in the fluid. Then, a slight downward push is applied on the cube, making it oscillate up and down the fluid.A. Determine the period for small oscillations of the cube in terms of the given quantities.B. Is the period for small oscillations explicitly dependent on the densities of the fluid and the cube?
Suppose a 3.00-N force can rupture an eardrum. (a) If the eardrum has an area of 1.00 cm2 , calculate the maximum tolerable gauge pressure on the eardrum in newtons per meter squared and convert it to millimeters of mercury. (b) At what depth in freshwater would this person's eardrum rupture, assuming the gauge pressure in the middle ear is zero? Strategy for (a) The pressure can be found directly from its definition since we know the force and area. We are looking for the gauge pressure.
A 12-cm diameter horizontal water jet with a speed of Vj = 25 m/s relative to the ground is deflected by a 40° cone moving to the left at Vc = 10 m/s. Determine the external force, F, needed to maintain the motion of the cone. Disregard the gravity and surface shear effects and assume the cross-sectional area of water jet normal to the direction of motion remains constant throughout the flow.
A square flat plate of dimensions 1 m x 1 m is moving with a maximum speed , U causing a fully laminar motion of it inside air ( density :1,2 kg /m3 viscosity :1.5x10-5 m2 /s ) Determine the magnitude of Shearing Stress on the surface of the plate SS=? at plate's trailing edge.ANSWER:SS= 0,0317 Pa
Consider the sealed containers (same fluid and on the same ground level) below with heights given in a and b values.Provided that b = 2a, answer the following items. If a = 2 in, and the density of the fluid is 60 lbm/ft^3, what is the pressure at point B in psia?
3.) A cube made of an unknown material has a dimension of 6cm on all edges. If the upper surface is displaced laterally by 0.1mm by a force of 2x10⁶ dynes acting parallel to the surface, calculate the shear modulus of the material. 4.) If the density of seawater is 1.04g/cm³ at the surface, what is its density at a depth where the pressure is 10⁹ dynes/cm²?
Your task is to design a light‐weight tie of length L with a circular cross‐section of radius R. It must carry an axial force F, without stretching by more than δ. You will need to choose the material (with Young’s modulus E and density ρ) and the corresponding crosssection radius to suit your choice of material, i.e. R is a “free variable”,a) Show that the extension of the tie is given by δ = FL/AE, where A = πR2
How does the kinematic viscosity of (a) liquids and (b) gases vary with temperature?