Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 3.9PP
State whether statements 3.6-3.10 are (or can be) true or false. For those that are false, explain why, 3.9 The pressure in a certain tank is
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Students have asked these similar questions
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?
TS
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 3 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 3 - Write the expression for computing the pressure in...Ch. 3 - Define absolute pressureCh. 3 - Define gage pressureCh. 3 - Define atmospheric pressureCh. 3 - Write the expression relating gage pressure,...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...
Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - If milk has a specific gravity of 1.08, what is...Ch. 3 - The pressure in an unknown fluid at a depth of 4.0...Ch. 3 - The pressure at the bottom of a tank of propyl...Ch. 3 - When you dive to a depth of 12.50 ft in seawater,...Ch. 3 - A water storage tank is on the roof of a factory...Ch. 3 - An open tank contains ethylene glycol at 25C....Ch. 3 - For the tank of ethylene glycol described in...Ch. 3 - Figure 3.19 shows a diagram of the hydraulic...Ch. 3 - Figure 3.20 shows a clothes washing machine The...Ch. 3 - An airplane is flying at 10.6km altitude. In its...Ch. 3 - For the tank shown in Fig. 3.21, determine the...Ch. 3 - For the tank shown in Fig. 3.21, determine the...Ch. 3 - For the tank shown in Fig. 3.21. determine the...Ch. 3 - For the tank shown in Fig. 3.21 determine the...Ch. 3 - For the tank in Fig. 3.22, compute the depth of...Ch. 3 - For the tank in Fig. 3.22, compute the depth of...Ch. 3 - Figure 3.22 represents an oil storage drum that is...Ch. 3 - A storage tank for sulfuric acid is 1.5m in...Ch. 3 - A storage drum for crude oil ( sg=0.89 ) is 32 ft...Ch. 3 - The greatest known depth in the ocean is...Ch. 3 - Figure 3.23 shows a closed tank that contains...Ch. 3 - Figure 3.24 shows a closed container holding water...Ch. 3 - Determine the pressure at the bottom of the tank...Ch. 3 - Describe a simple J-tube manometerCh. 3 - Describe a differential U-tube manometer.Ch. 3 - Describe a well-type manometer.Ch. 3 - Describe an inclined well-type manometer.Ch. 3 - Describe a compound manometer.Ch. 3 - Water is in the pipe shown in Fig. 3.26Calculate...Ch. 3 - For the differential manometer shown in Fig. 3.27,...Ch. 3 - For the manometer shown in Fig. 3.28, calculate...Ch. 3 - For the manometer shown in Fig. 3.29, calculate...Ch. 3 - For the manometer shown in Fig. 3.30, calculate...Ch. 3 - For the compound manometer shown in Fig.3.31,...Ch. 3 - For the compound differential manometer in...Ch. 3 - Figure 3.33 shows a manometer being used to...Ch. 3 - For the well-type manometer in Fig. 3.34,...Ch. 3 - Figure 3.35 shows an inclined well-type manometer...Ch. 3 - a. Determine the gage pressure at point A in Fig....Ch. 3 - What is the function of a barometer?Ch. 3 - Describe the construction of a barometer.Ch. 3 - Why is mercury a convenient fluid to use in a...Ch. 3 - If water were to be used instead of mercury in a...Ch. 3 - What is the barometric pressure reading in inches...Ch. 3 - What is the barometric pressure reading in...Ch. 3 - Why must a barometric pressure reading be...Ch. 3 - By how much would the barometric pressure reading...Ch. 3 - Denver, Colorado, is called the "Mile-High City"...Ch. 3 - The barometric pressure is reported to be 28.6 in...Ch. 3 - A barometer indicates the atmospheric pressure to...Ch. 3 - What would be the reading of a barometer in inches...Ch. 3 - Prob. 3.85PPCh. 3 - The pressure in a heating duct is measured to be...Ch. 3 - The pressure in a ventilation duct at the inlet to...Ch. 3 - The pressure in an air conditioning duct is...Ch. 3 - The pressure in a compressed natural gas line is...Ch. 3 - The pressure in a vacuum chamber is 68.2 kPa....Ch. 3 - The pressure in a vacuum chamber is 12.6 psig....Ch. 3 - Prob. 3.92PPCh. 3 - Prob. 3.93PPCh. 3 - A passive solar water heater is to be installed on...Ch. 3 - The elevated tank similar to the one shown in Fig....Ch. 3 - Prob. 3.96PPCh. 3 - A concrete form used to pour a basement wall is to...Ch. 3 - An environmental instrumentation package is to be...Ch. 3 - Prob. 3.99PPCh. 3 - Prob. 3.100PPCh. 3 - A meteorologist reports a "high pressure system"...Ch. 3 - What is the pressure, in psig, at the bottom of a...Ch. 3 - If air has a constant specific weight of...
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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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