Remark The expression (2 10-3) for the work done is much more general than the derivation based on the simple cylinder would indicate. To show this, consider an arbitrary slow expansion of the system from the volume enclosed by the solid boundary to that enclosed by the dotted boundary in Fig. 2.10 1. If the mean pressure is p, the mean force on an element of area dA is pdA in the direction of the normal n. If the displacement of this element of area is by an amount ds in the direction making an angle 0 with the normal, dA Fig. 2.10 1 Arbitrary expansion of a system of volu me V.

Remark The expression (2 10-3) for the work done is much more general than the derivation based on the simple cylinder would indicate. To show this, consider an arbitrary slow expansion of the system from the volume enclosed by the solid boundary to that enclosed by the dotted boundary in Fig. 2.10 1. If the mean pressure is p, the mean force on an element of area dA is pdA in the direction of the normal n. If the displacement of this element of area is by an amount ds in the direction making an angle 0 with the normal, dA Fig. 2.10 1 Arbitrary expansion of a system of volu me V.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: 2. Suppose you wish to use a spinning cylinder to create lift for an aircraft. A cylinder of radius…

Q: A mass weighting 24 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous…

Q: 2. A 35 cm diameter solid sphere (p=450 kg/m³) is Suspended by a cable as shown below. Half of the…

A: The free-body diagram is as follows-Where,T=tension in the cableW=weight of the spherebuoyancy…

Q: Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure…

A: (a) Write the continuity equation between the lower and the upper point. A1v1=A2v2 Here, A1 is the…

Q: Section 2: Numerical Response Q3 : If the flow into a wind turbine is 10 m/s, and the flow far…

A: Given:The upstream velocity of flow, The downstream velocity of flow,

Q: Blood is flowing through point P (Figure 2.5), which is connected to a catheter tip manometer…

Q: Differentiate between intensive and extensive properties of a system with examples.

Q: 6.15 For the two-dimensional case shown in Figure P6.15, where y = 1.4, determine M3 and p P₁ = 10…

A: Given Data:Step 1: Carefully examine the provided data and formulae to guarantee correctness.Let's…

Q: E2.13 Assuming the lever in Figure E2.13 has negligible mass and remains within a small angle of the…

A: The lever is mass less

Q: Air is compressed by a compressor in steady-state operation, i.e. the inlet mass flow rate q is…

Q: m, m . Two particles of equal masses move on a frictionless harizontal surface. Their center of krị…

A: We have to find lagrangian in term of the center of mass position CM, R and the relative position r.…

Q: A diver 50 m deep in 8°C fresh water exhales a 1.2 cm diameter bubble which rises to the surface of…

A: given; depth(h)=50mdiameter(d1)=1.2cm =1.2*10-2mwhen diameter(d2)=2.2cm…

Q: Express t for a liquid that has a velocity in 3D. Define in the cartesian co-ordinates t both as…

Q: 4.120 A rocket sled accelerates from rest on a level track with negligible air and rolling…

A: Given:initial mass of sled, mo=600 kgmass of fuel, mf=150 kgfuel burn rate, m˙=15 kg/sexit velocity…

Question

Remark The expression (2·10-3) for the work done is much more general
than the derivation based on the simple cylinder would indicate. To show
this, consider an arbitrary slow expansion of the system from the volume
enclosed by the solid boundary to that enelosed by the dotted boundary in Fig.
2.10-1. If the mean pressure is p, the mean force on an element of area dA is
p dA in the direction of the normal n. If the displacement of this element of
area is by an amount ds in the direction making an angle 0 with the normal,
ds
07
V.
dA
Fig. 2.10 1 Arbitrary expansion of a
system of volu me V.
why do we expand this piston
into that image? what part is
expanded?
and what is the meaning of
the normal angle?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A physics lab Consist of a large bowl attached to wire. Students hold onto one of the wire the whirl the ball around in circles and count the number of rotations per second. One group finds these numbers: ball mass=320g, wire length=1.3m, number of rotations/second=2.5. The wire is made of steel with a diameter of 1mm and a Young’s modulus of 20x10^10 N/m^2. How much does the wire stretch due to the tension on it? Should the students correct their data for the wire stretching?
As shown in Fig. 1.12, a horizontal interface 0-0 exists between two immiscible liquids. The dynamic viscosity of these two liquids are 0.14 Pa sand 0.24 Pa s respectively. The thickness is d1 0.8 mm and d2 1.2 mm respectively. Assuming that the velocity gradient is linear. Find theforce F required to push a bottom area A 1000 cm2 wood board to movewith velocity v0 0.4 m/s along the surface?
7. Blood is flowing through point P (Figure 2.5), which is connected to a catheter tip manometer system. Blood enters the manometer and equilibrates the pressure of the various fluids within the system (as denoted in the figure). Calculate the pressure within the blood vessel. Blood density is 1050 kg/m³, atmospheric pressure is 760 mmHg 25 cm Blood Fluid 1, P₁ = 879 kg/m³ Ja 45 cm 2 1 10 cm ✓ Fluid 2. P2 = 1200 kg/m³ Atmospheric pressure Figure 2.5 Schematic of a catheter tip manometer to measure intravascular blood pressure
D | 02 M M m M M L = 5l m m m FIG. 2. Find D in the above figure in terms of 0, and L.
For the piping system shown below, water is flowing from left to right at steady-state and constant temperature. You may assume the flow is frictionless. The pipe diameter is larger in section A than section B. The diameters of sections A and C are the same. If gravitation and frictional effects are negligible, which of the following relationships is true about the static pressure in sections A and B? Pc Ps Flow section A section B section C OPA Pg because pressure decreases as velocity increases at steady-state OPA = Pg because friction is assumed to be negligible
In this question, assume the "additional displacement" is in the positive u direction. A mass weighing 16 lbs stretches a spring 8 inches. The mass is in a medium that exerts a viscous resistance of 1 lbs when the mass has a velocity of 2 ft/sec. Suppose the object is displaced an additional 5 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =
3.16 The volume of a torus (* donut " shaped, Fig. P3.16) is V = 2n²Rr². (a) Determine the equation for the variation AV in the volume due to a change AR in R and a change Ar in r. (h) The change in volume due to a change in Ar only is S Ar, where S is the surface area. Proceed to determine the equation for the surface area S. R Figure P3.16
Solve the following application problem: The model s(t) = -16?2 + 5? + 3 describes the height(in feet) of a diver at time ? is measured in seconds. Find the velocity of the diver when the diver hits the water.
How do I answer this question?
5.10 classic mechanics please provide a solution for the following
Figure 3.4 Q3.5. The left common coronary artery has an axisymmetric constriction because of a plaque buildup (Figure 3.5). Given the upstream conditions of a velocity of 20 cm/s (systole) and 12 cm/s (diastole), calculate the velocity at the stenosis throat and the pressure difference between the stenosis throat and the inlet during systole and diastole. Assume that the Bernoulli principle can be used and that the density of blood is 1050 kg/m . Assume that there is no difference in height under these conditions. d = 6 mm d= 15 mm Figure 3.5
Fluids Question Water flows steadily from a large tank and exits through a vertical, constant diameter pipe as shown. The air in the tank is pressurized to 50 kN/m^2, determine a)the height h, to which the water rises, b) the water velocity in the pipe, and c) the pressure in the horizontal portion of the pipe.