EBK THERMODYNAMICS: AN ENGINEERING APPR
8th Edition
ISBN: 8220100257056
Author: CENGEL
Publisher: YUZU
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Chapter 12.6, Problem 24P
Determine the hfg of refrigerant-134a at 10°F on the basis of (a) the Clapeyron equation and (b) the Clapeyron-Clausius equation. Compare your results to the tabulated hfg value.
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The gears shown in the figure have a diametral pitch of 2 teeth per inch and a 20° pressure angle.
The pinion rotates at 1800 rev/min clockwise and transmits 200 hp through the idler pair to gear
5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft?
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I
y
18T
32T
This
a
12
x
18T
C
48T
5
Question 1. Draw 3 teeth for the following pinion and gear respectively. The teeth
should be drawn near the pressure line so that the teeth from the pinion should
mesh those of the gear. Drawing scale (1:1). Either a precise hand drawing or
CAD drawing is acceptable. Draw all the trajectories of the involute lines and the
circles.
Specification: 18tooth pinion and 30tooth gear. Diameter pitch=P=6 teeth /inch.
Pressure angle:20°, 1/P for addendum (a) and 1.25/P for dedendum (b). For fillet,
c=b-a.
5. The figure shows a gear train. There is no friction at the bearings except for the gear tooth forces.
The material of the milled gears is steel having a Brinell hardness of 170. The input shaft speed (n2)
is 800 rpm. The face width and the contact angle for all gears are 1 in and 20° respectively. In this
gear set, the endurance limit (Se) is 15 kpsi and nd (design factor) is 2.
(a) Find the revolution speed of gear 5.
(b) Determine whether each gear satisfies the design factor of 2.0 for bending fatigue.
(c) Determine whether each gear satisfies the design factor of 2.0 for surface fatigue (contact stress).
(d) According to the computation results of the questions (b) and (c), explain the possible failure
mechanisms for each gear.
N4=28
800rpm
N₁=43
N5=34
N₂=14
P(diameteral pitch)=8 for all gears
Coupled to 2.5hp motor
Chapter 12 Solutions
EBK THERMODYNAMICS: AN ENGINEERING APPR
Ch. 12.6 - What is the difference between partial...Ch. 12.6 - Consider a function z(x, y) and its partial...Ch. 12.6 - Prob. 3PCh. 12.6 - Conside the function z(x, y), its partial...Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - 12–7 Nitrogen gas at 400 K and 300 kPa behaves as...Ch. 12.6 - Nitrogen gas at 800 R and 50 psia behaves as an...Ch. 12.6 - Prob. 9PCh. 12.6 - Using the equation of state P(v a) = RT, verify...
Ch. 12.6 - Prob. 11PCh. 12.6 - Verify the validity of the last Maxwell relation...Ch. 12.6 - Prob. 14PCh. 12.6 - Prob. 15PCh. 12.6 - Prob. 16PCh. 12.6 - Prob. 17PCh. 12.6 - Prove that (PT)=kk1(PT)v.Ch. 12.6 - Prob. 19PCh. 12.6 - Prob. 20PCh. 12.6 - Using the Clapeyron equation, estimate the...Ch. 12.6 - Prob. 22PCh. 12.6 - Prob. 23PCh. 12.6 - Determine the hfg of refrigerant-134a at 10F on...Ch. 12.6 - Prob. 25PCh. 12.6 - Prob. 26PCh. 12.6 - Prob. 27PCh. 12.6 - Prob. 28PCh. 12.6 - Prob. 29PCh. 12.6 - 12–30 Show that =
Ch. 12.6 - Prob. 31PCh. 12.6 - Prob. 32PCh. 12.6 - Prob. 33PCh. 12.6 - Prob. 34PCh. 12.6 - Prob. 35PCh. 12.6 - Prob. 36PCh. 12.6 - Determine the change in the internal energy of...Ch. 12.6 - Prob. 38PCh. 12.6 - Determine the change in the entropy of helium, in...Ch. 12.6 - Prob. 40PCh. 12.6 - Derive expressions for (a) u, (b) h, and (c) s for...Ch. 12.6 - Derive an expression for the specific heat...Ch. 12.6 - Show that cpcv=T(PT)V(VT)P.Ch. 12.6 - Prob. 44PCh. 12.6 - Prob. 45PCh. 12.6 - Derive an expression for the specific heat...Ch. 12.6 - Derive an expression for the isothermal...Ch. 12.6 - Show that = ( P/ T)v.Ch. 12.6 - Prob. 49PCh. 12.6 - Prob. 50PCh. 12.6 - Show that the enthalpy of an ideal gas is a...Ch. 12.6 - Prob. 52PCh. 12.6 - Prob. 53PCh. 12.6 - The pressure of a fluid always decreases during an...Ch. 12.6 - Does the Joule-Thomson coefficient of a substance...Ch. 12.6 - Will the temperature of helium change if it is...Ch. 12.6 - Prob. 59PCh. 12.6 - Prob. 60PCh. 12.6 - 12–61E Estimate the Joule-Thomson-coefficient of...Ch. 12.6 - Prob. 62PCh. 12.6 - Consider a gas whose equation of state is P(v a)...Ch. 12.6 - Prob. 64PCh. 12.6 - On the generalized enthalpy departure chart, the...Ch. 12.6 - Why is the generalized enthalpy departure chart...Ch. 12.6 - Prob. 67PCh. 12.6 - Prob. 68PCh. 12.6 - Prob. 69PCh. 12.6 - Prob. 70PCh. 12.6 - Prob. 71PCh. 12.6 - Prob. 72PCh. 12.6 - Prob. 73PCh. 12.6 - Prob. 75PCh. 12.6 - Propane is compressed isothermally by a...Ch. 12.6 - Prob. 78PCh. 12.6 - Prob. 80RPCh. 12.6 - Starting with the relation dh = T ds + vdP, show...Ch. 12.6 - Show that cv=T(vT)s(PT)vandcp=T(PT)s(vT)PCh. 12.6 - Temperature and pressure may be defined as...Ch. 12.6 - For ideal gases, the development of the...Ch. 12.6 - Prob. 85RPCh. 12.6 - For a homogeneous (single-phase) simple pure...Ch. 12.6 - For a homogeneous (single-phase) simple pure...Ch. 12.6 - Prob. 88RPCh. 12.6 - Estimate the cpof nitrogen at 300 kPa and 400 K,...Ch. 12.6 - Prob. 90RPCh. 12.6 - Prob. 91RPCh. 12.6 - An adiabatic 0.2-m3 storage tank that is initially...Ch. 12.6 - Prob. 93RPCh. 12.6 - Methane is to be adiabatically and reversibly...Ch. 12.6 - Prob. 96RPCh. 12.6 - Prob. 98RPCh. 12.6 - Prob. 99RPCh. 12.6 - Prob. 100FEPCh. 12.6 - Consider the liquidvapor saturation curve of a...Ch. 12.6 - Prob. 102FEPCh. 12.6 - For a gas whose equation of state is P(v b) = RT,...
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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 Darrow_forward3 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?arrow_forward2. 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…arrow_forward
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