FLUID MECHANICS-EBOOK>I<
2nd Edition
ISBN: 2819480256061
Author: HIBBELER
Publisher: INTER PEAR
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Chapter 2, Problem 143P
To determine
The slope angle of the coffee’s surface
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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 2 Solutions
FLUID MECHANICS-EBOOK>I<
Ch. 2 - Prob. 1FPCh. 2 - The container is partially filled with oil, water,...Ch. 2 - The U-tube manometer is filled with mercury,...Ch. 2 - The tube is filled with mercury from A to B, and...Ch. 2 - The air pressure in the pipe at A is 300 kPa....Ch. 2 - Determine the absolute pressure of the water in...Ch. 2 - The bin is 1.5 m wide and is filled with water to...Ch. 2 - The bin is 2 m wide and is filled with oil to the...Ch. 2 - The 2-m-wide container is filled with water to the...Ch. 2 - Determine the resultant force of the water acting...
Ch. 2 - Determine the resultant force of the water acting...Ch. 2 - The tank is filled with water and kerosene to the...Ch. 2 - The 0.5-m-wide inclined plate holds water in a...Ch. 2 - Determine the resultant force the oil exerts on...Ch. 2 - Determine the resultant force the water exerts on...Ch. 2 - The tank has a width of 2 m and is filled with...Ch. 2 - Determine the horizontal and vertical components...Ch. 2 - The plate ABC is 2 m wide. Determine the angle θ...Ch. 2 - The cylindrical cup A of negligible weight...Ch. 2 - The 3-m-wide cart is filled with water to the...Ch. 2 - Prob. 21FPCh. 2 - Prob. 22FPCh. 2 - If the open cylindrical container rotates at ω = 8...Ch. 2 - Prob. 24FPCh. 2 - Prob. 1PCh. 2 - The oil derrick has drilled 5 km into the ground...Ch. 2 - Prob. 3PCh. 2 - Oxygen in a tank has an absolute pressure of 130...Ch. 2 - If the piezometer measures a gage pressure of 10...Ch. 2 - If the absolute pressure in a tank is 140 kPa,...Ch. 2 - The field storage tank is filled with oil. The...Ch. 2 - Prob. 8PCh. 2 - The closed tank was completely filled with carbon...Ch. 2 - The soaking bin contains ethyl alcohol used for...Ch. 2 - The soaking bin contains ethyl alcohol used for...Ch. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - The tank is filled with water and gasoline at a...Ch. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - A liquid has a density that varies with depth h,...Ch. 2 - Prob. 22PCh. 2 - In the troposphere, which extends from sea level...Ch. 2 - Prob. 24PCh. 2 - A heavy cylindrical glass is inverted and then...Ch. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Butyl carbitol, used in the production of...Ch. 2 - Determine the level h′ of water in the tube if the...Ch. 2 - Determine the pressures at points A and B. The...Ch. 2 - Determine the pressure at point C. The containers...Ch. 2 - Determine the difference in pressure pB − pA...Ch. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - A solvent used for plastics manufacturing consists...Ch. 2 - A solvent used for plastics manufacturing consists...Ch. 2 - The inverted U-tube manometer is used to measure...Ch. 2 - Solve Prob. 2-37 if the top segment is filled with...Ch. 2 - The two tanks A and B are connected using a...Ch. 2 - Prob. 40PCh. 2 - Determine the height h of the mercury in the tube...Ch. 2 -
The micro-manometer is used to measure small...Ch. 2 - The Morgan Company manufactures a micro-manometer...Ch. 2 - Determine the difference in pressure pA − pB...Ch. 2 - The pipes at A and B contain oil and the...Ch. 2 - The vertical pipe segment has an inner diameter of...Ch. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - The storage tank contains oil and water acting at...Ch. 2 - The uniform rectangular relief gate AB has a...Ch. 2 -
Determine the critical height h of the water...Ch. 2 - A swimming pool has a width of 12 ft and a side...Ch. 2 - Prob. 53PCh. 2 - The uniform control gate AB is pinned at A and...Ch. 2 - Prob. 55PCh. 2 - Determine the critical height h of the water level...Ch. 2 - The gate is 2 ft wide and is pinned at A and held...Ch. 2 - The uniform rectangular relief gate AB has a...Ch. 2 - The tide gate opens automatically when the tide...Ch. 2 - The tide gate opens automatically when the tide...Ch. 2 - The bin is used to store carbon tetrachloride, a...Ch. 2 - Prob. 62PCh. 2 - Prob. 63PCh. 2 - The pressure of the air at A within the closed...Ch. 2 - The uniform plate, which is hinged at C, is used...Ch. 2 - Determine the placement d of the pin on the...Ch. 2 - Determine the placement d of the pin on the...Ch. 2 - The tapered settling tank is filled with oil....Ch. 2 - The tapered settling tank is filled with oil....Ch. 2 - Ethyl alcohol is pumped into the tank, which has...Ch. 2 - The bent plate is 2 m wide and is pinned at A and...Ch. 2 -
The tank is filled to its top with an industrial...Ch. 2 - Solve Prob. 20–72 using the integration...Ch. 2 - If the tank is filled with vegetable oil,...Ch. 2 -
If the tank is filled with vegetable oil,...Ch. 2 - Prob. 76PCh. 2 - Determine the resultant force acting on the...Ch. 2 - Solve Prob. 2-77 using the integration...Ch. 2 - Prob. 79PCh. 2 - Prob. 80PCh. 2 - Prob. 81PCh. 2 - Prob. 82PCh. 2 - Prob. 83PCh. 2 - Prob. 84PCh. 2 - Prob. 85PCh. 2 - Prob. 86PCh. 2 - Prob. 87PCh. 2 - Prob. 88PCh. 2 - Prob. 89PCh. 2 -
The control gate ACB is pinned at A and rests on...Ch. 2 - Prob. 91PCh. 2 -
The uniform plate, which is hinged at C, is used...Ch. 2 -
The bent plate is 1.5 m wide and is pinned at A...Ch. 2 - Prob. 94PCh. 2 - Prob. 95PCh. 2 - Prob. 96PCh. 2 - Prob. 97PCh. 2 - The 5-m-wide overhang is in the form of a...Ch. 2 - Determine the resultant force that water exerts on...Ch. 2 - Prob. 100PCh. 2 - Prob. 101PCh. 2 - Prob. 102PCh. 2 - Prob. 103PCh. 2 - A quarter-circular plate is pinned at A and tied...Ch. 2 - Prob. 105PCh. 2 - The semicircular gate is used to control the flow...Ch. 2 - Prob. 107PCh. 2 - Plate AB has a width of 1.5 m and a radius of 3 m....Ch. 2 - Prob. 109PCh. 2 - Prob. 110PCh. 2 - Prob. 111PCh. 2 - Prob. 112PCh. 2 - Prob. 113PCh. 2 - Prob. 114PCh. 2 - Prob. 115PCh. 2 - Prob. 116PCh. 2 - Prob. 117PCh. 2 - Prob. 118PCh. 2 - Prob. 119PCh. 2 - Prob. 120PCh. 2 - Prob. 121PCh. 2 - A glass having a diameter of 50 mm is filled with...Ch. 2 - Water in the container is originally at a height...Ch. 2 - Prob. 124PCh. 2 - Prob. 125PCh. 2 - Prob. 126PCh. 2 -
The hot-air balloon contains air having a...Ch. 2 - Prob. 128PCh. 2 - Prob. 129PCh. 2 - Prob. 130PCh. 2 - Prob. 131PCh. 2 - The truck carries an open container of water. If...Ch. 2 - Prob. 133PCh. 2 - The open rail car is 6 ft wide and filled with...Ch. 2 - Prob. 135PCh. 2 -
A large container of benzene is being transported...Ch. 2 - If the truck has a constant acceleration of 2...Ch. 2 - Prob. 138PCh. 2 - Prob. 139PCh. 2 - Prob. 140PCh. 2 - Prob. 141PCh. 2 - Prob. 142PCh. 2 - Prob. 143PCh. 2 - Prob. 144PCh. 2 - Prob. 145PCh. 2 - Prob. 146PCh. 2 - Prob. 147PCh. 2 - Prob. 3CPCh. 2 - Prob. 4CP
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- Consider 0.65 kg of N2 at 300 K, 1 bar contained in a rigid tank connected by a valve to another rigid tank holding 0.3 kg of CO2 at 300 K, 1 bar. The valve is opened and gases are allowed to mix, achieving an equilibrium state at 290 K. Determine: (a) the volume of each tank, in m³. (b) the final pressure, in bar. (c) the magnitude of the heat transfer to or from the gases during the process, in kJ. (d) the entropy change of each gas and of the overall system, in kJ/K.arrow_forwardBài 1. Cho cơ hệ như hình 1. Hình biểu diễn lược đổ cơ hệ tại vị trí cân bằng tĩnh. Trục tọa độ Oy hướng theo phương chuyển động của vật 1, gốc O đặt tại vị trí cân bằng của vật 1(tức khi lò xo biến dạng tĩnh). Bỏ qua khối lượng của thanh số 3. Vật rắn 2 là pulley 2 tầng đồng chất có bán kính ngoài 21, bán kính trong I, bán kính quán tính đối với trục qua tâm P-1.5, khối lượng m:. Vật rắn 4 là thanh thắng đồng chất có khối lượng m, chiều dài 1. Cho các số liệu: m = 2kg, m= = 5kg, m = 4kg, k=40(N/cm), ! – 0.8(m),r=0.1(m). Điều kiện đầu y; =0.5 cm );j = 10 cm/s) . Giả sử hệ dao động bé, Vật rắn 2 chuyển động lăn không trượt trên mặt phẳng ngang. 1. Viết phương trình chuyển động của hệ. 2. Xác định tần số dao động tự do của hệ. 3. Xác định đáp ứng dao động tự do của hệ. dây dây 1 2r Hình 1 y 3 -2 I k www. -2arrow_forwardHints: 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. Auto Controls Show solutions and provide matlab code NO COPIED ANSWERS OR WILL REPORTarrow_forward
- Obtain the response of the system shown below for a parabolic or acceleration input r(t);where Auto Controls Show full solutionarrow_forwardProblem Statement A large plate of insulating material 8 cm thick has in it a 3 cm-diam hole, with axis normal to the surface. The temperature of the surroundings are 1800 K at one side of the plate and 400 K on the other side. Insulating plate D= 3 cm H= 8 cm Considering the sides of the hole to be black, (a) Draw a system of resistors that can be used to solve for the various heat transfer rates. For full credit you must label all "voltages", "currents," and resistances present. (b) Estimate the radiative heat transfer through the hole.arrow_forwardUsing MATLAB, plot the unit-step response curve for the following transfer function and Using MATLAB, obtain the rise time, peak time, maximum overshoot, and settling time. Auto Controls Provide codesarrow_forward
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