FUNDAMENTALS OF THERMODYNAMICS
10th Edition
ISBN: 9781119634928
Author: Borgnakke
Publisher: WILEY
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Chapter 3, Problem 3.70P
To determine
The final state and heat added during process.
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B
150 mm
120 mm
PROBLEM 15.193
The L-shaped arm BCD rotates about the z axis with a constant
angular velocity @₁ of 5 rad/s. Knowing that the 150-mm-
radius disk rotates about BC with a constant angular velocity
@2 of 4 rad/s, determine (a) the velocity of Point A, (b) the
acceleration of Point A.
Answers:
V₁ =-(0.600 m/s)i + (0.750 m/s)j - (0.600 m/s)k
a=-(6.15 m/s²)i- (3.00 m/s²)j
3
Answer:
002
PROBLEM 15.188
The rotor of an electric motor rotates at the constant rate
@₁ = 1800 rpm. Determine the angular acceleration of the rotor as the
motor is rotated about the y axis with a constant angular velocity 2
x of 6 rpm counterclockwise when viewed from the positive y axis.
α = (118.4 rad/s²)i
12 in..
10 in.
PROBLEM 15.187
At the instant considered the radar antenna shown rotates about
the origin of coordinates with an angular velocity
@ = ai + @j+wk Knowing that (VA) = 15 in./s,
(VB), 9 in./s, and (VB), = 18 in./s, determine (a) the angular
velocity of the antenna, (b) the velocity of point A.
B
10 in.
Answers:
=
(0.600 rad/s)i - (2.00 rad/s) j + (0.750 rad/s)k
V₁ = (20.0 in./s)i + (15.00 in./s) j + (24.0 in./s)k
Chapter 3 Solutions
FUNDAMENTALS OF THERMODYNAMICS
Ch. 3 - What is 1cal in SI units and what is the name...Ch. 3 - A car engine is rated at 110kW . What is the power...Ch. 3 - Why do we write E or E2E1 , whereas we write 1Q2...Ch. 3 - If a process in a control mass increases energy...Ch. 3 - Assume a physical setup as in Fig. P3.6(a). We now...Ch. 3 - Figure P3.6 shows three physical situations. Show...Ch. 3 - For the indicated physical setup in (a), (b), and...Ch. 3 - Assume the physical situation in Fig. P3.6b; what...Ch. 3 - Figure P3.9 shows three physical situations; show...Ch. 3 - That can you say about the beginning state of the...
Ch. 3 - A thermopane window traps some gas between the two...Ch. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - The electric bill is calculating usage in kWh....Ch. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - You heat a gas 10K at P=C . Which one in Table A.5...Ch. 3 - You mix 20C water with 50C water in an open...Ch. 3 - A piston motion moves a 25kg hammerhead vertically...Ch. 3 - A pump pushes 1000m3 of liquid water at 15C up to...Ch. 3 - A 1200kg car accelerates from zero to 100km/h over...Ch. 3 - A hydraulic hoist raises a 1750kg car 1.8m in an...Ch. 3 - Prob. 3.24PCh. 3 - A hydraulic cylinder of area 0.01m2 must push a...Ch. 3 - A hydraulic cylinder has a piston cross-sectional...Ch. 3 - A bulldozer pushes 800kg of din l00m with a force...Ch. 3 - Two hydraulic cylinders maintain a pressure of...Ch. 3 - A motor delivers 50hp on a drive shaft at 1800rpm...Ch. 3 - Solve Problem 3.24, but assume that the steam...Ch. 3 - The R4l0A in Problem 3.1 2c is at 1000kPa,50C with...Ch. 3 - A 400L tank, A (see Fig. P3.32), contains argon...Ch. 3 - A piston/cylinder assembly contains 2kg of liquid...Ch. 3 - Heat transfer to a 1.5kg block of ice at -10C...Ch. 3 - A cylinder fitted with a frictionless piston...Ch. 3 - A piston cylinder contains 2kg of water at 20C...Ch. 3 - A nitrogen gas goes through a polytropic process...Ch. 3 - Helium gas expands from 125kPa,350K and 0.25m3 to...Ch. 3 - A balloon behaves so that the pressure is P=C2V1/3...Ch. 3 - A 15cm thick concrete wall, k=1.28W/mK , has a...Ch. 3 - The brake shoe and steel drum of a car...Ch. 3 - Prob. 3.42PCh. 3 - A power plant condenser (heat exchanger) transfers...Ch. 3 - Prob. 3.44PCh. 3 - A steel Pot, with conductivity of 15W/m and a 50mm...Ch. 3 - A wall surface on a house is 30C with an...Ch. 3 - A radiant heat lamp is a rod, tong and in diameter...Ch. 3 - A radiant beating lamp has a surface temperature...Ch. 3 - Determine the phase of the following substances...Ch. 3 - Find the phase and the missing properties of P, T,...Ch. 3 - Indicate the location of the four states in...Ch. 3 - Find the missing property of P, T, y, u, h, and x...Ch. 3 - Find the missing properties for carbon dioxide at...Ch. 3 - Find the missing property of P, T, y, u, h, and x...Ch. 3 - Saturated liquid water at 20C is compressed to a...Ch. 3 - Consider a steel bottle as a CV. It contains...Ch. 3 - A piston cylinder contains water with quality 75...Ch. 3 - Problem 3.137 and write the left-hand side...Ch. 3 - Saturated vapor R410A at 0C in a rigid tank is...Ch. 3 - A constant-pressure piston/cylinder assembly...Ch. 3 - A container is split in two equal volumes by a...Ch. 3 - A cylinder fined with a frictionless piston...Ch. 3 - A piston/cylinder contains 1.5kg of water at...Ch. 3 - Ammonia (0.5kg) in a piston cy1tnde at 200kPa,10C...Ch. 3 - A water-filled reactor with a volume of 1m3 is at...Ch. 3 - A rigid 1kg steel tank holds 0.75kg ammonia at 70C...Ch. 3 - Prob. 3.68PCh. 3 - A piston/cylinder arrangement with a linear spring...Ch. 3 - Prob. 3.70PCh. 3 - Assume the same setup as in Problem 3.66. but the...Ch. 3 - A rigid steel tank contains 0.5kgR410A at 0°C with...Ch. 3 - Redo the previous problem when you also consider...Ch. 3 - Prob. 3.74PCh. 3 - Supetheated refrigerant R-134a at 20°C and 100 kPa...Ch. 3 - In a sink, 5 L of water at 70°C is combined with 1...Ch. 3 - Prob. 3.77PCh. 3 - A copper block of volume 1 L s heat treated at...Ch. 3 - A car with mass 1275 kg is driven at 60 km h when...Ch. 3 - A piston cylinder (0.5 kg steel altogether)...Ch. 3 - An engine, shown in Fig P3.81, consists of a 100kg...Ch. 3 - Use the ideal gas air A.7 to evaluate the specific...Ch. 3 - Estimate the constant specific heats for R-134a...Ch. 3 - Find the change in u for carbon dioxide between...Ch. 3 - Nitrogen at 300 K. 3 MPa is heated to 500 K Find...Ch. 3 - Repeat Problem 3.84 for nitrogen gas.Ch. 3 - Find the change in enthalpy for carbon dioxide...Ch. 3 - Water at 20°C and 100 kPa is brought to l00 kPa...Ch. 3 - Prob. 3.89PCh. 3 - A rigid container has 2 kg of oxygen gas at l00...Ch. 3 - Air (3kg) is in a piston cylinder similar to...Ch. 3 - A 10-m-high cylinder. with a cross-sectional area...Ch. 3 - A cylinder with a piston restrained by a linear...Ch. 3 - A constant pressure container is filled with 1 kg...Ch. 3 - A spring-loaded piston cylinder contains 1.5kg of...Ch. 3 - An insulated cylinder is divided into two pans of...Ch. 3 - Helium gas expands from 125 kPa, 350 K and 0.25m3...Ch. 3 - A piston cylinder device contains 0.1 kg of air at...Ch. 3 - A gasoline engine has a piston/cylinder with 0.1...Ch. 3 - Solve the previous problem using Table A.7.Ch. 3 - A piston/cylinder has nitrogen gas at 750 K and...Ch. 3 - A piston/cylinder assembly has 1 kg of propane gas...Ch. 3 - A piston cylinder arrangement of initial volume...Ch. 3 - A piston/cylinder assembly in a car contains 0.2 L...Ch. 3 - Air goes through a polytropic process with n=1.3...Ch. 3 - Saturated vapor R410A at 10°C of mass 0.6 kg is in...Ch. 3 - A helium gas heated at constant volume from 100...Ch. 3 - A piston/cylinder shown in Fig. P3.108 contains...Ch. 3 - A piston/cylinder has water at 200 kPa, x=0.5 and...Ch. 3 - Ten kilograms of water in a piston/cylinder...Ch. 3 - Water in piston/cylinder (Fig. P3.111) is a...Ch. 3 - A setup lake the one in Fig P3.108 has the R-410A...Ch. 3 - The piston/cylinder inFig. P3.113 contains 0.1 kg...Ch. 3 - A piston/cylinder arrangement contains 5 kg of...Ch. 3 - A piston/cylinder setup similar to Problem 3.110...Ch. 3 - A piston/cylinder contains air at 1000 kPa, 800 K...Ch. 3 - Prob. 3.117PCh. 3 - A 100-hp car engine has a drive shaft rotating at...Ch. 3 - Prob. 3.119PCh. 3 - As fresh-poured concrete hardens, the chemical...Ch. 3 - A 1.2-kg pot of water at 20°C is put on a stove...Ch. 3 - A computer in a closed room of volume 200m3...Ch. 3 - A 500-W heater is used to melt 2 kg of solid ice...Ch. 3 - A 3-kg mass of nitrogen gas at 2000 K, V=C , cools...Ch. 3 - Electric power as volts times amperes (P=Vi) ....Ch. 3 - A copper wire of diameter 2 mm is 10m long and...Ch. 3 - A battery is well insulated while being charged by...Ch. 3 - A sheet of rubberis stretched out over a ring of...Ch. 3 - Assume a balloon material with a constant surface...Ch. 3 - A soap bubble has a surface tension of =3104N/cm...Ch. 3 - According to Table 3.4 residential buildings in US...Ch. 3 - total energy use in the US from Table 3.4 for 2011...Ch. 3 - A wind turbine with 20m diameter rotors spins at...Ch. 3 - Prob. 3.134PCh. 3 - A house is being designed to use a thick concrete...Ch. 3 - A solar pond with 20°C salt water, Cp=3.8kJ/kg-K...Ch. 3 - Prob. 3.137PCh. 3 - A rigidtank is divided into tworooms,both...Ch. 3 - A piston/cylinder has a water volume separated in...Ch. 3 - The cylinder volume below the constant loaded...Ch. 3 - Air in tank B is at 200 kPa, 280 K and mass 1 kg....Ch. 3 - A piston/cylinder setup (Fig P3.110) contains 1 kg...Ch. 3 - Two kilograms of water is contained in a...Ch. 3 - A piston cylinder has 0.1 kg water at x=0.5 ,...Ch. 3 - A piston/cylinder arrangement has the piston...Ch. 3 - A vertical/cylinder (Fig. P3.146) has a 61.18-kg...Ch. 3 - Water in a piston/cylinder, similar to Fig P3.110,...Ch. 3 - A rigid container has two rooms filled with water,...Ch. 3 - Prob. 3.149PCh. 3 - A piston/cylinder setup, similar to Fig. P3.143,...Ch. 3 - A spherical balloon contains 2 kg of R-410A at 0°C...Ch. 3 - Prob. 3.152PCh. 3 - Prob. 3.153EPCh. 3 - Work as Fx has units of lbf ft. What is that in...Ch. 3 - Work in the expression in Eq. 3.18 or Eq. 3.22...Ch. 3 - Prob. 3.156EPCh. 3 - Prob. 3.157EPCh. 3 - You heat a gas 20 R at P=C . Which gas in Table...Ch. 3 - A piston motion moves a 50-lbm hammerhead...Ch. 3 - A pump pushes 35000ft3 of liquid water at 60 F up...Ch. 3 - Prob. 3.161EPCh. 3 - Prob. 3.162EPCh. 3 - Prob. 3.163EPCh. 3 - A car with tires of outer radius 12 in. drives...Ch. 3 - The R-410A in Problem 3.9(c) is at 150 psia, 120 F...Ch. 3 - Prob. 3.166EPCh. 3 - A nitrogen gas goes through apolytropic process...Ch. 3 - Find the rate of conduction heat transfer per unit...Ch. 3 - The sun shines on a 1500-ft2 road surface so that...Ch. 3 - Find the missing properties and give the phase of...Ch. 3 - Find the missing properties among (P,T,v,u,h)...Ch. 3 - Find the missing properties among (P,T,v,u,h)...Ch. 3 - Saturated vapor R-410A at 60 F in a rigid tank is...Ch. 3 - A containeris split in two equal volumes by a...Ch. 3 - Saturated vapor R-410A at 200 psia in a...Ch. 3 - A cylinder fitted with a frictionless piston...Ch. 3 - Prob. 3.177EPCh. 3 - A water-filled reactor with a volume of 50ft3 is...Ch. 3 - Prob. 3.179EPCh. 3 - A piston/cylinder arrangement with a linear spring...Ch. 3 - Prob. 3.181EPCh. 3 - Prob. 3.182EPCh. 3 - Prob. 3.183EPCh. 3 - Prob. 3.184EPCh. 3 - Prob. 3.185EPCh. 3 - A closed rigid container is filled with 3 lbm...Ch. 3 - An insulated cylinder is divided into two parts of...Ch. 3 - Helium gas expands from 20 psia, 600 R, and 9ft3...Ch. 3 - Prob. 3.189EPCh. 3 - A cylinder fitted with a frictionless piston...Ch. 3 - Prob. 3.191EPCh. 3 - A piston/cylinder contains air at 150 psia, 1400 R...Ch. 3 - A piston/cylinder has 2 lbm of R-134a at state 1...Ch. 3 - A force of 300 lbf moves a truck at a speed of 40...Ch. 3 - Prob. 3.195EPCh. 3 - Water is in a piston/cylinder maintaining constant...Ch. 3 - A mass of 6 lbm nitrogen gas at 3600 R, V=C ,...Ch. 3 - Prob. 3.198EPCh. 3 - Ammonia is contained in a sealed, rigid tank at 30...Ch. 3 - Water in a piston/cylinder, similar to Fig....
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