THERMODYNAMICS: ENG APPROACH LOOSELEAF
9th Edition
ISBN: 9781266084584
Author: CENGEL
Publisher: MCG
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Textbook Question
Chapter 4.5, Problem 57P
Is it possible to compress an ideal gas isothermally in an adiabatic piston–cylinder device? Explain.
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1. The rotating steel shaft is simply supported by bearings at points of B and C, and is driven by a spur
gear at D, which has a 6-in pitch diameter. The force F from the drive gear acts at a pressure angle of
20°. The shaft transmits a torque to point A of TA =3000 lbĘ in. The shaft is machined from steel with
Sy=60kpsi and Sut=80 kpsi.
(1) Draw a shear force diagram and a bending moment diagram by F. According to your analysis, where is
the point of interest to evaluate the safety factor among A, B, C, and D? Describe the reason. (Hint: To find
F, the torque Tд is generated by the tangential force of F (i.e. Ftangential-Fcos20°)
When n=2.5, K=1.8, and K₁ =1.3, determine the diameter of the shaft based on
(2) static analysis using DE theory (note that fatigue stress concentration factors need to be used for this
question because the loading condition is fatigue) and
(3) a fatigue analysis using modified Goodman.
Note) A standard diameter is not required for the questions.
10 in
D
3
N2=28
P(diametral pitch)=8 for all gears
Coupled to 25 hp motor
N3=34
Full depth spur gears with pressure angle=20°
N₂=2000 rpm
(1) Compute the circular pitch, the center-to-center distance, and base circle radii.
(2) Draw the free body diagram of gear 3 and show all the forces and the torque.
(3) In mounting gears, the center-to-center distance was reduced by 0.1 inch.
Calculate the new values of center-to-center distance, pressure angle, base circle radii,
and pitch circle diameters.
(4)What is the new tangential and radial forces for gear 3?
(5) Under the new center to center distance, is the contact ratio (mc) increasing or
decreasing?
2. A flat belt drive consists of two 4-ft diameter cast-iron pulleys spaced 16 ft apart.
A power of 60 hp is transmitted by a pulley whose speed is 380 rev/min. Use a
service factor (Ks) pf 1.1 and a design factor 1.0. The width of the polyamide A-3
belt is 6 in. Use CD=1. Answer the following questions.
(1) What is the total length of the belt according to the given geometry?
(2) Find the centrifugal force (Fc) applied to the belt.
(3) What is the transmitted torque through the pulley system given 60hp?
(4) Using the allowable tension, find the force (F₁) on the tight side. What is the
tension at the loose side (F2) and the initial tension (F.)?
(5) Using the forces, estimate the developed friction coefficient (f)
(6) Based on the forces and the given rotational speed, rate the pulley set. In other
words, what is the horse power that can be transmitted by the pulley system?
(7) To reduce the applied tension on the tight side, the friction coefficient is
increased to 0.75. Find out the…
Chapter 4 Solutions
THERMODYNAMICS: ENG APPROACH LOOSELEAF
Ch. 4.5 - Is the boundary work associated with...Ch. 4.5 - On a P-V diagram, what does the area under the...Ch. 4.5 - An ideal gas at a given state expands to a fixed...Ch. 4.5 - Calculate the total work, in kJ, for process 13...Ch. 4.5 - Calculate the total work, in Btu, produced by the...Ch. 4.5 - Nitrogen at an initial state of 300 K, 150 kPa,...Ch. 4.5 - The volume of 1 kg of helium in a pistoncylinder...Ch. 4.5 - A pistoncylinder device with a set of stops...Ch. 4.5 - A mass of 5 kg of saturated water vapor at 150 kPa...Ch. 4.5 - A frictionless pistoncylinder device contains 16...
Ch. 4.5 - 1 m3 of saturated liquid water at 200C is expanded...Ch. 4.5 - Argon is compressed in a polytropic process with n...Ch. 4.5 - A gas is compressed from an initial volume of 0.42...Ch. 4.5 - A mass of 1.5 kg of air at 120 kPa and 24C is...Ch. 4.5 - During some actual expansion and compression...Ch. 4.5 - A frictionless pistoncylinder device contains 5 kg...Ch. 4.5 - During an expansion process, the pressure of a gas...Ch. 4.5 - A pistoncylinder device initially contains 0.4 kg...Ch. 4.5 - A pistoncylinder device contains 0.15 kg of air...Ch. 4.5 - Determine the boundary work done by a gas during...Ch. 4.5 - 1 kg of water that is initially at 90C with a...Ch. 4.5 - An ideal gas undergoes two processes in a...Ch. 4.5 - A pistoncylinder device contains 50 kg of water at...Ch. 4.5 - Prob. 26PCh. 4.5 - A closed system like that shown in Fig. P427E is...Ch. 4.5 - A rigid container equipped with a stirring device...Ch. 4.5 - Complete each line of the following table on the...Ch. 4.5 - A substance is contained in a well-insulated rigid...Ch. 4.5 - A 0.5-m3rigid tank contains refrigerant-134a...Ch. 4.5 - A 20-ft3 rigid tank initially contains saturated...Ch. 4.5 - A rigid 10-L vessel initially contains a mixture...Ch. 4.5 - A rigid 1-ft3 vessel contains R-134a originally at...Ch. 4.5 - A pistoncylinder device contains 5 kg of...Ch. 4.5 - A pistoncylinder device contains 0.5 lbm of water...Ch. 4.5 - 2 kg of saturated liquid water at 150C is heated...Ch. 4.5 - An insulated pistoncylinder device contains 5 L of...Ch. 4.5 - A 40-L electrical radiator containing heating oil...Ch. 4.5 - Steam at 75 kPa and 8 percent quality is contained...Ch. 4.5 - A pistoncylinder device initially contains 0.6 m3...Ch. 4.5 - An insulated tank is divided into two parts by a...Ch. 4.5 - Two tanks (Tank A and Tank B) are separated by a...Ch. 4.5 - Is the energy required to heat air from 295 to 305...Ch. 4.5 - A fixed mass of an ideal gas is heated from 50 to...Ch. 4.5 - A fixed mass of an ideal gas is heated from 50 to...Ch. 4.5 - A fixed mass of an ideal gas is heated from 50 to...Ch. 4.5 - Is the relation u = mcv,avgT restricted to...Ch. 4.5 - Is the relation h = mcp,avgT restricted to...Ch. 4.5 - What is the change in the internal energy, in...Ch. 4.5 - Neon is compressed from 100 kPa and 20C to 500 kPa...Ch. 4.5 - What is the change in the enthalpy, in kJ/kg, of...Ch. 4.5 - A mass of 10 g of nitrogen is contained in the...Ch. 4.5 - Determine the internal energy change u of...Ch. 4.5 - Determine the enthalpy change h of oxygen, in...Ch. 4.5 - Is it possible to compress an ideal gas...Ch. 4.5 - Nitrogen in a rigid vessel is cooled by rejecting...Ch. 4.5 - Nitrogen at 100 psia and 300F in a rigid container...Ch. 4.5 - A pistoncylinder device containing carbon-dioxide...Ch. 4.5 - A 3-m3 rigid tank contains hydrogen at 250 kPa and...Ch. 4.5 - 1 kg of oxygen is heated from 20 to 120C....Ch. 4.5 - A 10-ft3 tank contains oxygen initially at 14.7...Ch. 4.5 - A 4-m 5-m 7-m room is heated by the radiator of...Ch. 4.5 - An insulated rigid tank is divided into two equal...Ch. 4.5 - An ideal gas contained in a pistoncylinder device...Ch. 4.5 - A 4-m 5-m 6-m room is to be heated by a...Ch. 4.5 - An insulated pistoncylinder device initially...Ch. 4.5 - Argon is compressed in a polytropic process with n...Ch. 4.5 - An insulated pistoncylinder device contains 100 L...Ch. 4.5 - Air is contained in a variable-load pistoncylinder...Ch. 4.5 - A mass of 15 kg of air in a pistoncylinder device...Ch. 4.5 - Prob. 73PCh. 4.5 - A pistoncylinder device contains 2.2 kg of...Ch. 4.5 - A pistoncylinder device contains 4 kg of argon at...Ch. 4.5 - A spring-loaded pistoncylinder device contains 5...Ch. 4.5 - Prob. 78PCh. 4.5 - Prob. 79PCh. 4.5 - A 1-kg block of iron is heated from 25 to 75C....Ch. 4.5 - The state of liquid water is changed from 50 psia...Ch. 4.5 - During a picnic on a hot summer day, all the cold...Ch. 4.5 - An ordinary egg can be approximated as a...Ch. 4.5 - Consider a 1000-W iron whose base plate is made of...Ch. 4.5 - Stainless steel ball bearings ( = 8085 kg/m3 and...Ch. 4.5 - In a production facility, 1.6-in-thick 2-ft 2-ft...Ch. 4.5 - Long cylindrical steel rods ( = 7833 kg/m3 and cp...Ch. 4.5 - An electronic device dissipating 25 W has a mass...Ch. 4.5 - Prob. 90PCh. 4.5 - Prob. 91PCh. 4.5 - Is the metabolizable energy content of a food the...Ch. 4.5 - Is the number of prospective occupants an...Ch. 4.5 - Prob. 94PCh. 4.5 - Prob. 95PCh. 4.5 - Prob. 96PCh. 4.5 - Consider two identical 80-kg men who are eating...Ch. 4.5 - A 68-kg woman is planning to bicycle for an hour....Ch. 4.5 - A 90-kg man gives in to temptation and eats an...Ch. 4.5 - A 60-kg man used to have an apple every day after...Ch. 4.5 - Consider a man who has 20 kg of body fat when he...Ch. 4.5 - Consider two identical 50-kg women, Candy and...Ch. 4.5 - Prob. 103PCh. 4.5 - Prob. 104PCh. 4.5 - Prob. 105PCh. 4.5 - Prob. 106PCh. 4.5 - Prob. 107PCh. 4.5 - Prob. 108PCh. 4.5 - Prob. 109RPCh. 4.5 - Prob. 110RPCh. 4.5 - Prob. 111RPCh. 4.5 - Prob. 112RPCh. 4.5 - Prob. 113RPCh. 4.5 - Consider a pistoncylinder device that contains 0.5...Ch. 4.5 - Prob. 115RPCh. 4.5 - Air in the amount of 2 lbm is contained in a...Ch. 4.5 - Air is expanded in a polytropic process with n =...Ch. 4.5 - Nitrogen at 100 kPa and 25C in a rigid vessel is...Ch. 4.5 - Prob. 119RPCh. 4.5 - A mass of 3 kg of saturated liquidvapor mixture of...Ch. 4.5 - A mass of 12 kg of saturated refrigerant-134a...Ch. 4.5 - Prob. 122RPCh. 4.5 - A pistoncylinder device contains helium gas...Ch. 4.5 - Prob. 124RPCh. 4.5 - Prob. 125RPCh. 4.5 - Prob. 126RPCh. 4.5 - Prob. 127RPCh. 4.5 - Water is boiled at sea level in a coffeemaker...Ch. 4.5 - The energy content of a certain food is to be...Ch. 4.5 - Prob. 130RPCh. 4.5 - An insulated pistoncylinder device initially...Ch. 4.5 - An insulated rigid tank initially contains 1.4 kg...Ch. 4.5 - In order to cool 1 ton of water at 20C in an...Ch. 4.5 - A 0.3-L glass of water at 20C is to be cooled with...Ch. 4.5 - A well-insulated 3-m 4m 6-m room initially at 7C...Ch. 4.5 - Prob. 137RPCh. 4.5 - Prob. 138RPCh. 4.5 - Prob. 140RPCh. 4.5 - A pistoncylinder device initially contains 0.35 kg...Ch. 4.5 - Two 10-ft3 adiabatic tanks are connected by a...Ch. 4.5 - Prob. 143RPCh. 4.5 - Prob. 144RPCh. 4.5 - A 3-m3 rigid tank contains nitrogen gas at 500 kPa...Ch. 4.5 - A 0.5-m3 rigid tank contains nitrogen gas at 600...Ch. 4.5 - A well-sealed room contains 60 kg of air at 200...Ch. 4.5 - A room contains 75 kg of air at 100 kPa and 15C....Ch. 4.5 - Prob. 149FEPCh. 4.5 - A pistoncylinder device contains 5 kg of air at...Ch. 4.5 - Prob. 151FEPCh. 4.5 - A 2-kW electric resistance heater submerged in 5...Ch. 4.5 - Prob. 153FEPCh. 4.5 - 1.5 kg of liquid water initially at 12C is to be...Ch. 4.5 - Prob. 155FEPCh. 4.5 - An ordinary egg with a mass of 0.1 kg and a...Ch. 4.5 - Prob. 157FEPCh. 4.5 - A 6-pack of canned drinks is to be cooled from 18C...Ch. 4.5 - Prob. 159FEPCh. 4.5 - An ideal gas has a gas constant R = 0.3 kJ/kgK and...Ch. 4.5 - A pistoncylinder device contains an ideal gas. The...
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- The tooth numbers for the gear train illustrated are N₂ = 24, N3 = 18, №4 = 30, №6 = 36, and N₁ = 54. Gear 7 is fixed. If shaft b is turned through 5 revolutions, how many turns will shaft a make? a 5 [6] barrow_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forward
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