EBK FLUID MECHANICS
2nd Edition
ISBN: 9780134626055
Author: HIBBELER
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Chapter 7, Problem 33P
To determine
The stream function, and to determine potential function if possible.
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a) Let be a root of the characteristic equation
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60 ft
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30%
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The crane's telescopic boom rotates with the angular velocity w = 0.06 rad/s and
angular acceleration a = 0.07 rad/s². At the same instant, the boom is extending
with a constant speed of 0.8 ft/s, measured relative to the boom. Determine the
magnitude of the acceleration of point B at this instant.
The motion of peg P is constrained by the lemniscate curved
slot in OB and by the slotted arm OA. (Figure 1)
If OA rotates counterclockwise with a constant angular velocity of 0 = 3 rad/s, determine the magnitude of the velocity of peg P at 0 = 30°.
Express your answer to three significant figures and include the appropriate units.
Determine the magnitude of the acceleration of peg P at 0 = 30°.
Express your answer to three significant figures and include the appropriate units.
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Chapter 7 Solutions
EBK FLUID MECHANICS
Ch. 7 - Prob. 1PCh. 7 - A flow is defined by its velocity components u =...Ch. 7 - A uniform flow at 6 m/s is directed at an angle of...Ch. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Determine the stream and potential functions for...Ch. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - The velocity profile of a liquid flowing along the...
Ch. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - The liquid confined between two moving plates has...Ch. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - A flow has velocity components u = 2(y − x) ft/s...Ch. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 33PCh. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - Prob. 40PCh. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - Prob. 43PCh. 7 - If a building has a flat roof and is located 20 m...Ch. 7 - Prob. 45PCh. 7 - Combine a source of strength q with a free...Ch. 7 - Prob. 47PCh. 7 - Show that the equation that defines a sink will...Ch. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - A source q is emitted from the wall while a flow...Ch. 7 - Prob. 57PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - The long rotating cylinder is subjected to a...Ch. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - Prob. 69PCh. 7 - Prob. 70PCh. 7 - Prob. 71PCh. 7 - Prob. 72PCh. 7 - Prob. 73PCh. 7 - Prob. 74PCh. 7 - Prob. 75PCh. 7 - Prob. 76PCh. 7 - Prob. 77PCh. 7 - Prob. 78PCh. 7 - If the uniform velocity of the air is 15 m/s and...Ch. 7 - Prob. 80PCh. 7 - The long cylinder is rotating counterclockwise...Ch. 7 - Prob. 82PCh. 7 - Liquid is confined between a top plate having an...Ch. 7 - A horizontal velocity is defined by u = 2(x2 − y2)...Ch. 7 - The sloped open channel has steady laminar flow...Ch. 7 - Prob. 86PCh. 7 - The channel for a liquid is formed by two fixed...
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- 5: The structure shown was designed to support a30-kN load. It consists of a boom AB with a 30 x 50-mmrectangular cross section and a rod BC with a 20-mm-diametercircular cross section. The boom and the rod are connected bya pin at B and are supported by pins and brackets at A and C,respectively.1. Calculate the normal stress in boom AB and rod BC,indicate if in tension or compression.2. Calculate the shear stress of pins at A, B and C.3. Calculate the bearing stresses at A in member AB,and in the bracket.arrow_forward4: The boom AC is a 4-in. square steel tube with a wallthickness of 0.25 in. The boom is supported by the 0.5-in.-diameter pinat A, and the 0.375-in.-diameter cable BC. The working stresses are 25ksi for the cable, 18 ksi for the boom, and 13.6 ksi for shear in the pin.Neglect the weight of the boom.1. Calculate the maximum value of P (kips) based on boom compression and the maximum value of P (kips) based on tension in the cable.2. Calculate the maximum value of P (kips) based on shear in pin.arrow_forward3: A steel strut S serving as a brace for a boat hoist transmits a compressive force P = 54 kN to the deck of a pier as shown in Fig. STR-08. The strut has a hollow square cross section with a wall thickness t =12mm and the angle θ between the strut and the horizontal is 40°. A pin through the strut transmits the compressive force from the strut to two gusset plates G that are welded to the base plate B. Four anchor bolts fasten the base plate to the deck. The diameter of the pin is 20mm, the thickness of the gusset plates is 16mm, the thickness of the base plate is 8mm, and the diameter of the anchor bolts is 12mm. Disregard any friction between the base plate and the deck.1. Determine the shear stress in the pin, in MPa and the shear stress in the anchor bolts, in MPa.2. Determine the bearing stress in the strut holes, in MPa.arrow_forward
- 1. In the figure, the beam, W410x67, with 9 mm web thicknesssubjects the girder, W530x109 with 12 mm web thickness to a shear load,P (kN). 2L – 90 mm × 90 mm × 6 mm with bolts frame the beam to thegirder.Given: S1 = S2 = S5 = 40 mm; S3 = 75 mm; S4 = 110 mmAllowable Stresses are as follows:Bolt shear stress, Fv = 125 MPaBolt bearing stress, Fp = 510 MPa1. Determine the allowable load, P (kN), based on the shearcapacity of the 4 – 25 mm diameter bolts (4 – d1) and calculate the allowable load, P (kN), based on bolt bearing stress on the web of the beam.2. If P = 450 kN, determine the minimum diameter (mm) of 4 – d1based on allowable bolt shear stress and bearing stress of thebeam web.arrow_forward6: The 6-kN load P is supported by two wooden members of 75 x 125-mm uniform cross section that are joined by the simple glued scarf splice shown.1. Calculate the normal stress in the glue, in MPa.2. Calculate the shear stress in the glue, in MPa.arrow_forwardUsing Matlab calculate the following performance characteristics for a Tesla Model S undergoing the 4506 drive cycle test Prated Trated Ebat 80kW 254 Nm 85kWh/1645kg MUEH A rwheel 0.315M 133.3 C 0.491 Ng ng 7g 8.190.315 8.19 0.315 7ed= 85% Ebpt 35-956 DRIVE AXLE Ebfb chę =85% V Minverter H/A Battery Charger En AC Pry 9) required energy output from the motor to drive this cycle Cassume no regenerative braking) b) range of the Tesla Model S for this drive cycle (assume no regenerative breaking c) estimated mpge cycle of the Tesla Model S for this drive Cassume no regenerative breaking) d) Recalculate parts abc now assuming you can regenerate returns correctly due to inefficiency. from braking. Be careful to handle the diminishing energy braking makes in terms of required e) Quantify the percentage difference that regenerative required energy, range and mpge, DI L Ta a ra OLarrow_forward
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- Required information Water initially at 200 kPa and 300°C is contained in a piston-cylinder device fitted with stops. The water is allowed to cool at constant pressure until it exists as a saturated vapor and the piston rests on the stops. Then the water continues to cool until the pressure is 100 kPa. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Water 200 kPa 300°C On the T-V diagram, sketch, with respect to the saturation lines, the process curves passing through the initial, intermediate, and final states of the water. Label the T, P, and V values for end states on the process curves. Please upload your response/solution by using the controls provided below.arrow_forwardA piston-cylinder device contains 0.87 kg of refrigerant-134a at -10°C. The piston that is free to move has a mass of 12 kg and a diameter of 25 cm. The local atmospheric pressure is 88 kPa. Now, heat is transferred to refrigerant-134a until the temperature is 15°C. Use data from the tables. R-134a -10°C Determine the change in the volume of the cylinder of the refrigerant-134a if the specific volume and enthalpy of R-134a at the initial state of 90.4 kPa and -10°C and at the final state of 90.4 kPa and 15°C are as follows: = 0.2418 m³/kg, h₁ = 247.77 kJ/kg 3 v2 = 0.2670 m³/kg, and h₂ = 268.18 kJ/kg The change in the volume of the cylinder is marrow_forwardA piston-cylinder device contains 0.87 kg of refrigerant-134a at -10°C. The piston that is free to move has a mass of 12 kg and a diameter of 25 cm. The local atmospheric pressure is 88 kPa. Now, heat is transferred to refrigerant-134a until the temperature is 15°C. Use data from the tables. R-134a -10°C Determine the final pressure of the refrigerant-134a. The final pressure is kPa.arrow_forward
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