Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Chapter 3, Problem 3.124P
To determine
The expression for velocity
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Hints: Find the closed loop transfer function and then plot the step response for diFerentvalues of K in MATLAB. Show step response plot for different values of K.
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37. The vertical shaft shown in Figure P12-37 is driven at a
speed of 600 rpm with 4.0 hp entering through the bevel
gear. Each of the two chain sprockets delivers 2.0 hp to
the side to drive mixer blades in a chemical reactor vessel.
The bevel gear has a diametral pitch of 5, a pitch diameter
of 9.000 in, a face width of 1.31 in, and a pressure angle
of 20°. Use SAE 4140 OQT 1000 steel for the shaft. See
Chapter 10 for the methods for computing the forces on
the bevel gear.
Figure P12-37: P37-Bevel gear drive with two chain
sprockets
Each problem includes the following details:
■Design the complete shaft, including the specification of
the overall geometry and the consideration of stress con-
centration factors. The analysis would show the minimum
acceptable diameter at each point on the shaft to be safe
from the standpoint of strength.
Homework Problems 12-24, 12-35, and 12-37 from
textbook, done in spreadsheet form. Place drawings of the
load, shear, and bending moment body diagrams…
35. The double-reduction, helical gear reducer shown in
Figure P12-35 transmits 5.0 hp. Shaft 1 is the input,
rotating at 1800 rpm and receiving power directly from an
electric motor through a flexible coupling. Shaft 2 rotates
at 900 rpm. Shaft 3 is the output, rotating at 300 rpm. A
chain sprocket is mounted on the output shaft as shown
and delivers the power upward. The data for the gears
are given in Table 12-5. Each gear has a 1412° normal
pressure angle and a 45° helix angle. The combinations of
left- and right-hand helixes are arranged so that the axial
forces oppose each other on shaft 2 as shown. Use SAE
4140 OQT 1200 for the shafts.
Figure P12-35: P35-Double-reduction helical drive
Each problem includes the following details:
■Design the complete shaft, including the specification of
the overall geometry and the consideration of stress con-
centration factors. The analysis would show the minimum
acceptable diameter at each point on the shaft to be safe
from the standpoint of…
Chapter 3 Solutions
Fluid Mechanics
Ch. 3 - Prob. 3.1PCh. 3 - Consider the angular momentum relation in the form...Ch. 3 - For steady low-Reynolds-number (laminar) flow...Ch. 3 - Water at 20°C flows through a long elliptical duct...Ch. 3 - Water at 20°C flows through a 5-in-diameter smooth...Ch. 3 - Water fills a cylindrical tank to depth h. The...Ch. 3 - A spherical tank, of diameter 35 cm, is leaking...Ch. 3 - Three pipes steadily deliver water at 20°C to a...Ch. 3 - A laboratory test tank contains seawater of...Ch. 3 - Water flowing through an 8-cm-diameter pipe enters...
Ch. 3 - Water flows from a faucet into a sink at 3 U.S....Ch. 3 - The pipe flow in Fig, P3.12 fills a cylindrical...Ch. 3 - The cylindrical container in Fig. P3.13 is 20 cm...Ch. 3 - The open tank in Fig. F3.14 contains water at 20°C...Ch. 3 - Water, assumed incompressible, flows steadily...Ch. 3 - P3.16 An incompressible fluid flows past an...Ch. 3 - Incompressible steady flow in the inlet between...Ch. 3 - Gasoline enters section 1 in Fig, P3.18 at 0.5...Ch. 3 - Water from a storm drain flows over an outfall...Ch. 3 - Oil (SG = 0.89) enters at section 1 in Fig, P3.20...Ch. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - A thin layer of liquid, draining from an inclined...Ch. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - In some wind tunnels the test section is...Ch. 3 - A rocket motor is operati ng steadily, as shown in...Ch. 3 - In contrast to the liquid rocket in Fig. P3.34,...Ch. 3 - The jet pump in Fig. P3.36 injects water at U1 =...Ch. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - A wedge splits a sheet of 20°C water, as shown in...Ch. 3 - The water jet in Fig, P3,40 strikes normal to a...Ch. 3 - P3.41 In Fig. P3.41 the vane turns the water jet...Ch. 3 - Prob. 3.42PCh. 3 - P3.43 Water at 20°C flows through a 5-cm-diameter...Ch. 3 - P3.44 When a uniform stream flows past an immersed...Ch. 3 - Water enters and leaves the 6-cm-diameter pipe...Ch. 3 - When a jet strikes an inclined fixed plate, as in...Ch. 3 - A liquid jet of velocity Vjand diameter Djstrikes...Ch. 3 - The small boat in Fig. P3.48 is driven at a steady...Ch. 3 - The horizontal nozzle in Fig. P3.49 has D1 = 12 in...Ch. 3 - Prob. 3.50PCh. 3 - P3.51 A liquid jet of velocity Vj and area Aj...Ch. 3 - A large commercial power washer delivers 21...Ch. 3 - Prob. 3.53PCh. 3 - For the pipe-flow-reducing section of Fig. P3.54,...Ch. 3 - In Fig. P3.55 the jet strikes a vane that moves to...Ch. 3 - Prob. 3.56PCh. 3 - Prob. 3.57PCh. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - P3.62 Water at 20°C exits to the standard...Ch. 3 - Water flows steadily through the box in Fig....Ch. 3 - The 6-cm-diameter 20°C water jet in Fig. P3.64...Ch. 3 - Prob. 3.65PCh. 3 - Prob. 3.66PCh. 3 - Prob. 3.67PCh. 3 - Prob. 3.68PCh. 3 - P3.69 A uniform rectangular plate, 40 cm long and...Ch. 3 - Prob. 3.70PCh. 3 - Prob. 3.71PCh. 3 - When immersed in a uniform stream, a thick...Ch. 3 - P3.73 A pump in a tank of water at 20°C directs a...Ch. 3 - P3.74 Water at 20°C flows down through a vertical,...Ch. 3 - Prob. 3.75PCh. 3 - Prob. 3.76PCh. 3 - Prob. 3.77PCh. 3 - Prob. 3.78PCh. 3 - P3.79 The Saturn V rocket in the chapter opener...Ch. 3 - Prob. 3.80PCh. 3 - Prob. 3.81PCh. 3 - Prob. 3.82PCh. 3 - Prob. 3.83PCh. 3 - Air at 20°C and 1 atm flows in a 25-cm-diameter...Ch. 3 - Prob. 3.85PCh. 3 - Prob. 3.86PCh. 3 - Prob. 3.87PCh. 3 - Prob. 3.88PCh. 3 - Prob. 3.89PCh. 3 - Prob. 3.90PCh. 3 - Prob. 3.91PCh. 3 - Prob. 3.92PCh. 3 - Prob. 3.93PCh. 3 - A water jet 3 in in diameter strikes a concrete...Ch. 3 - P3.95 A tall water tank discharges through a...Ch. 3 - Prob. 3.96PCh. 3 - Prob. 3.97PCh. 3 - Prob. 3.98PCh. 3 - Prob. 3.99PCh. 3 - Prob. 3.100PCh. 3 - Prob. 3.101PCh. 3 - Prob. 3.102PCh. 3 - Suppose that the solid-propellant rocket of Prob....Ch. 3 - A rocket is attached to a rigid horizontal rod...Ch. 3 - Extend Prob. P3.104 to the case where the rocket...Ch. 3 - Actual airflow past a parachute creates a variable...Ch. 3 - Prob. 3.107PCh. 3 - Prob. 3.108PCh. 3 - Prob. 3.109PCh. 3 - Prob. 3.110PCh. 3 - Prob. 3.111PCh. 3 - A jet of alcohol strikes the vertical plate in...Ch. 3 - Prob. 3.113PCh. 3 - Prob. 3.114PCh. 3 - Prob. 3.115PCh. 3 - P3.116 For the container of Fig. P3.116 use...Ch. 3 - Water at 20°C, in the pressurized tank of Fig....Ch. 3 - P3.118 Bernoulli's 1738 treatise Hydrodynamica...Ch. 3 - Prob. 3.119PCh. 3 - Prob. 3.120PCh. 3 - Prob. 3.121PCh. 3 - Prob. 3.122PCh. 3 - The air-cushion vehicle in Fig, P3.123 brings in...Ch. 3 - Prob. 3.124PCh. 3 - Prob. 3.125PCh. 3 - Prob. 3.126PCh. 3 - Prob. 3.127PCh. 3 - Prob. 3.128PCh. 3 - Prob. 3.129PCh. 3 -
P3.130 In Fig. P3.130 the fluid is gasoline at...Ch. 3 - Prob. 3.131PCh. 3 - Prob. 3.132PCh. 3 - Prob. 3.133PCh. 3 - Prob. 3.134PCh. 3 - Prob. 3.135PCh. 3 - Air, assumed frictionless, flows through a tube,...Ch. 3 - In Fig. P3.137 the piston drives water at 20°C....Ch. 3 - Prob. 3.138PCh. 3 - Prob. 3.139PCh. 3 - Prob. 3.140PCh. 3 - Prob. 3.141PCh. 3 - Prob. 3.142PCh. 3 - Prob. 3.143PCh. 3 - Prob. 3.144PCh. 3 - Prob. 3.145PCh. 3 - The pump in Fig. P3.146 draws gasoline at 20°C...Ch. 3 - The very large water tank in Fig. P3.147 is...Ch. 3 - Prob. 3.148PCh. 3 - P3.149 The horizontal lawn sprinkler in Fig....Ch. 3 - Prob. 3.150PCh. 3 - Prob. 3.151PCh. 3 - Prob. 3.152PCh. 3 - Prob. 3.153PCh. 3 - Prob. 3.154PCh. 3 - Prob. 3.155PCh. 3 - Prob. 3.156PCh. 3 - Prob. 3.157PCh. 3 - Prob. 3.158PCh. 3 - Prob. 3.159PCh. 3 - Prob. 3.160PCh. 3 - Prob. 3.161PCh. 3 - The waterwheel in Fig. P3.162 is being driven at...Ch. 3 - Prob. 3.163PCh. 3 - Prob. 3.164PCh. 3 - Prob. 3.165PCh. 3 - A power plant on a river, as in Fig. P3.166, must...Ch. 3 - Prob. 3.167PCh. 3 - Prob. 3.168PCh. 3 - P3.169 When the pump in Fig. P3.169 draws 220 m3/h...Ch. 3 - Prob. 3.170PCh. 3 - P3.171 Consider a turbine extracting energy from a...Ch. 3 - Prob. 3.172PCh. 3 - Prob. 3.173PCh. 3 - Prob. 3.174PCh. 3 - Prob. 3.175PCh. 3 - Prob. 3.176PCh. 3 - Prob. 3.177PCh. 3 - Prob. 3.178PCh. 3 - Prob. 3.179PCh. 3 - Prob. 3.180PCh. 3 - Prob. 3.181PCh. 3 - Prob. 3.182PCh. 3 - Prob. 3.183PCh. 3 - The large turbine in Fig. P3.184 diverts the river...Ch. 3 - Prob. 3.185PCh. 3 - Prob. 3.1WPCh. 3 - Prob. 3.2WPCh. 3 - Prob. 3.3WPCh. 3 - Prob. 3.4WPCh. 3 - W3.5 Consider a long sewer pipe, half full of...Ch. 3 - Put a table tennis ball in a funnel, and attach...Ch. 3 - How does a siphon work? Are there any limitations...Ch. 3 - Prob. 3.1FEEPCh. 3 - Prob. 3.2FEEPCh. 3 - In Fig, FE3.1 water exits from a nozzle into...Ch. 3 - Prob. 3.4FEEPCh. 3 - Prob. 3.5FEEPCh. 3 - FE3.6 A fireboat pump delivers water to a...Ch. 3 - A fireboat pump delivers water to a vertical...Ch. 3 - Prob. 3.8FEEPCh. 3 - Water flowing in a smooth 6-cm-diameter pipe...Ch. 3 - Prob. 3.10FEEPCh. 3 - In a certain industrial process, oil of density ...Ch. 3 - Prob. 3.2CPCh. 3 - Prob. 3.3CPCh. 3 - Prob. 3.4CPCh. 3 - Prob. 3.5CPCh. 3 - Prob. 3.1DP
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