EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
9th Edition
ISBN: 9781119321453
Author: Sonntag
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 4, Problem 4.68P
To determine
Mass flow rate of air.
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De Moivre’s Theorem
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Determine the shear flow qqq for the given profile when the shear forces acting at the torsional center are Qy=30Q_y = 30Qy=30 kN and Qz=20Q_z = 20Qz=20 kN. Also, calculate qmaxq_{\max}qmax and τmax\tau_{\max}τmax.
Given:Iy=10.5×106I_y = 10.5 \times 10^6Iy=10.5×106 mm4^44,Iz=20.8×106I_z = 20.8 \times 10^6Iz=20.8×106 mm4^44,Iyz=6×106I_{yz} = 6 \times 10^6Iyz=6×106 mm4^44.
Additional parameters:αy=0.5714\alpha_y = 0.5714αy=0.5714,αz=0.2885\alpha_z = 0.2885αz=0.2885,γ=1.1974\gamma = 1.1974γ=1.1974.
(Check hint: τmax\tau_{\max}τmax should be approximately 30 MPa.)
Chapter 4 Solutions
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
Ch. 4 - A temperature difference drives a heat transfer...Ch. 4 - What is the effect can be felt upstream in a flow?Ch. 4 - Prob. 4.3PCh. 4 - Air at 500 kPa is expanded to l00 kPa in two...Ch. 4 - A windmill takes out a fraction of the wind...Ch. 4 - An underwater turbine extracts a fraction of the...Ch. 4 - A liquid water turbine at the bottom of a dam...Ch. 4 - You blow a balloon up with air. What kinds of work...Ch. 4 - Storage tanks of cryogenic liquids (O2,N2,CH4) are...Ch. 4 - A large brewery has a pipe of cross-sectional area...
Ch. 4 - A pool is to be filled with 60m3 water from a...Ch. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - A boiler receives a constant flow of 5000kg/h...Ch. 4 - Prob. 4.15PCh. 4 - Liquid water at 15°C flows out of nozzle straight...Ch. 4 - A nozzle receives an ideal gas flow with a...Ch. 4 - Prob. 4.18PCh. 4 - Prob. 4.19PCh. 4 - The wind is blowing horizontally at 30m/s in a...Ch. 4 - Prob. 4.21PCh. 4 - A meteorite hits the upper atmosphere at 3000m/s ,...Ch. 4 - Carbon dioxide is throttled from 20C,2000kPa to...Ch. 4 - Saturated liquid R-410A at 25°C is throttled to...Ch. 4 - Carbon dioxide used as a natural refrigerant flows...Ch. 4 - Liquid water at 180C,2000kPa is throttled into a...Ch. 4 - Methane at 1MPa,250K is throttled through a valve...Ch. 4 - Prob. 4.28PCh. 4 - A steam turbine has an n1et of 3kg/s water at 1200...Ch. 4 - Air at 20m/s,1500K,875kPa with 5kg/s flows into a...Ch. 4 - Solve the previous problem using Table A.7.Ch. 4 - A wind turbine can extract at most a fraction...Ch. 4 - Prob. 4.33PCh. 4 - A liquid water turbine receives 2kg/s water at...Ch. 4 - A small high-speed turbine operating on compressed...Ch. 4 - Prob. 4.36PCh. 4 - What is the specific work one can get from Hoover...Ch. 4 - Prob. 4.38PCh. 4 - R-410A in a commercial refrigerator flows into the...Ch. 4 - A compressor brings nitrogen from 100kPa,290K to...Ch. 4 - A refrigerator uses the natural refrigerant carbon...Ch. 4 - Prob. 4.42PCh. 4 - A compressor brings R-134a from...Ch. 4 - Prob. 4.44PCh. 4 - An exhaust fan in a building should be able to...Ch. 4 - Prob. 4.46PCh. 4 - The air conditioner in a house or a car has a...Ch. 4 - A boiler section boils 3kg/s saturated liquid...Ch. 4 - A superheater takes 3kg/s saturated water vapor in...Ch. 4 - Prob. 4.50PCh. 4 - Carbon dioxide enters a steady-state, steady-flow...Ch. 4 - Prob. 4.52PCh. 4 - A chiller cools liquid water for air-conditioning...Ch. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - Prob. 4.56PCh. 4 - Liquid nitrogen at 90K,400kPa flows into a probe...Ch. 4 - Liquid glycol flows around an engine, cooling it...Ch. 4 - An irrigation pump takes water from a river at...Ch. 4 - A pipe from one building to another flows water at...Ch. 4 - A river flowing at 0.5m/s across a 1-m-high and...Ch. 4 - Prob. 4.62PCh. 4 - A cutting tool uses a nozzle that generates a...Ch. 4 - Prob. 4.64PCh. 4 - Prob. 4.65PCh. 4 - Prob. 4.66PCh. 4 - Prob. 4.67PCh. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Prob. 4.70PCh. 4 - Prob. 4.71PCh. 4 - Steam at 500kPa,300C is used to heat cold water at...Ch. 4 - A dual-fluid heat exchanger has 5kg/s water...Ch. 4 - Prob. 4.74PCh. 4 - Prob. 4.75PCh. 4 - In a co-flowing (same-direction) heat exchanger,...Ch. 4 - An a water counter flowing heat exchanger has one...Ch. 4 - An automotive radiator has glycol at 95°C enter...Ch. 4 - Prob. 4.79PCh. 4 - Prob. 4.80PCh. 4 - Prob. 4.81PCh. 4 - Prob. 4.82PCh. 4 - Prob. 4.83PCh. 4 - A de-superheater has a flow of ammonia of 1.5kg/s...Ch. 4 - Prob. 4.85PCh. 4 - A geothermal supply of hot water at 500kPa,150C is...Ch. 4 - Prob. 4.87PCh. 4 - Prob. 4.88PCh. 4 - A flow of 5kg/s water at l00kPa,20C should be...Ch. 4 - A two-stage compressor takes nitrogen ri at...Ch. 4 - The intercooler in the previous problem uses cold...Ch. 4 - Prob. 4.92PCh. 4 - A modern jet engine has a temperature after...Ch. 4 - Prob. 4.94PCh. 4 - Prob. 4.95PCh. 4 - Prob. 4.96PCh. 4 - An initially empty canister of volume 0.2m3 is...Ch. 4 - Repeat the previous problem but use the line...Ch. 4 - A tank contains 1m3 air at 100kPa,300K . A pipe...Ch. 4 - Prob. 4.100PCh. 4 - A 2.5L tank initially is empty, and we want to...Ch. 4 - An insulated 2m3 tank is to be charged with R-134a...Ch. 4 - Repeat the previous problem if the valve is closed...Ch. 4 - A 3m3 ? cryogenic storage tank contains nitrogen...Ch. 4 - Prob. 4.105PCh. 4 - Prob. 4.106PCh. 4 - Prob. 4.107PCh. 4 - A 1-L can of R-410A is at room temperature, 20°C,...Ch. 4 - Steam at 3MPa,400C enters a turbine with a...Ch. 4 - Prob. 4.110PCh. 4 - Assume a setup similar to that of the previous...Ch. 4 - Prob. 4.112PCh. 4 - Three a flows, all at 200 kPa, e connected to the...Ch. 4 - A 1m3,40kg rigid steel tank contains air at 500...Ch. 4 - Prob. 4.115PCh. 4 - Prob. 4.116PCh. 4 - Prob. 4.117PCh. 4 - Prob. 4.118PCh. 4 - Prob. 4.119PCh. 4 - A flow of 2kg/s of water at 500kPa,20C is heated...Ch. 4 - Refrigerant R-410A at l00psia,60F flows at...Ch. 4 - A pool is to be filled with 2500ft3 water from a...Ch. 4 - Prob. 4.123EPCh. 4 - Liquid water at 60 F flows out of a nozzle...Ch. 4 - Prob. 4.125EPCh. 4 - Prob. 4.126EPCh. 4 - Prob. 4.127EPCh. 4 - Nitrogen gas flows into a convergent nozzle at...Ch. 4 - A meteorite hits the upper atmosphere at 10000ft/s...Ch. 4 - Refrigerant R-410A flows out of a cooler at...Ch. 4 - Prob. 4.131EPCh. 4 - Saturated vapor R-410A at 75 psia is throttled to...Ch. 4 - A wind turbine can exact at most a fraction 16/27...Ch. 4 - A liquid water turbine receives 4Ibm/s water at...Ch. 4 - Prob. 4.135EPCh. 4 - What is the specific work one can get from Hoover...Ch. 4 - A small-speed turbine operating on compressed air...Ch. 4 - R.410A in a commercial refigerator flows into the...Ch. 4 - Prob. 4.139EPCh. 4 - An exhaust fan in a building should be able to...Ch. 4 - Carbon dioxide gas enters a steady-state,...Ch. 4 - Prob. 4.142EPCh. 4 - Prob. 4.143EPCh. 4 - Liquid glycol flows around an engine, cooling t as...Ch. 4 - Prob. 4.145EPCh. 4 - Prob. 4.146EPCh. 4 - Prob. 4.147EPCh. 4 - Do the previous problem if the water is just...Ch. 4 - A dual-fluid heat exchanger has l0Ibm/s water...Ch. 4 - Steam at 80psia,600F is used to heat cold water at...Ch. 4 - Prob. 4.151EPCh. 4 - Two flows of air are both at 30 psia one has...Ch. 4 - A de-superheater has a flow of ammonia of 3Ibm/s...Ch. 4 - Prob. 4.154EPCh. 4 - A two-stage compressor takes nitrogen n at...Ch. 4 - The intercooler in the previous problem uses cold...Ch. 4 - Prob. 4.157EPCh. 4 - Prob. 4.158EPCh. 4 - A tank contains l0ft3 of air at 15psia,540R . A...Ch. 4 - Prob. 4.160EPCh. 4 - Prob. 4.161EPCh. 4 - Prob. 4.162EPCh. 4 - Prob. 4.163EPCh. 4 - Prob. 4.164EP
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