EBK APPLIED FLUID MECHANICS
7th Edition
ISBN: 8220100668340
Author: UNTENER
Publisher: PEARSON
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Chapter 7, Problem 7.51PP
A creek runs through a certain part of a campus where the water is falling about
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Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m₂ = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
www.m
k₁ = 3
(y₁ = 0).
m₁ = 1
k2=2
(y₂ = 0)
|m₂ = 1
Y2
y 2
System in
static
equilibrium
(Net change in
spring length
=32-31)
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁(t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
Chapter 7 Solutions
EBK APPLIED FLUID MECHANICS
Ch. 7 - A horizontal pipe carries oil with a specific...Ch. 7 - Water at 40 F is flowing downward through the...Ch. 7 - Find the volume flow rate of water exiting from...Ch. 7 - A long DN 150 Schedule 40 steel pipe discharges...Ch. 7 - Figure 7.14 shows a setup to determine the energy...Ch. 7 - A test setup to determine the energy loss as water...Ch. 7 - The setup shown in Fig. 7.16 is being used to...Ch. 7 - A pump is being used to transfer water from an...Ch. 7 - In Problem 7.815 (Fig. 7.17), if the left-hand...Ch. 7 - A commercially available sump pump is capable of...
Ch. 7 - A submersible deep-well pump delivers 745 gal/h of...Ch. 7 - In a pump test the suction pressure at the pump...Ch. 7 - The pump shown in Fig. 7.19 is delivering...Ch. 7 - The pump in Fig. 7.20 delivers water from the...Ch. 7 - Repeat Problem 7.14, but assume that the level of...Ch. 7 - Figure 7.21 shows a pump delivering 840L/min of...Ch. 7 - Figure 7.22 shows a submersible pump being used to...Ch. 7 - Figure 7.23 shows a small pump in an automatic...Ch. 7 - The water being pumped in the system shown in Fig....Ch. 7 - A manufacturer's rating for a gear pump states...Ch. 7 - The specifications for an automobile fuel pump...Ch. 7 - Figure 7.26 shows the arrangement of a circuit for...Ch. 7 - Calculate the power delivered to the hydraulic...Ch. 7 - Water flows through the turbine shown in Fig....Ch. 7 - Calculate the power delivered by the oil to the...Ch. 7 - What hp must the pump shown in Fig. 7.30 deliver...Ch. 7 - If the pump in Problem 7.26 operates with an...Ch. 7 - The system shown in Fig. 7.31 delivers 600 L/min...Ch. 7 - Kerosene (sg = 0.823 ) flows at 0.060m3/s in the...Ch. 7 - Water at 60 F flows from a large reservoir through...Ch. 7 - Figure 7.34 shows a portion of a fire protection...Ch. 7 - For the conditions of Problem 7.31 and if we...Ch. 7 - In Fig. 7.35 kerosene at 25 F is flowing at 500...Ch. 7 - For the system shown in Fig. 7.35 and analyzed in...Ch. 7 - Compute the power removed from the fluid by the...Ch. 7 - Compute the pressure at point 2 at the pump inlet.Ch. 7 - Compute the pressure at point 3 at the pump...Ch. 7 - Compute the pressure at point 4 at the press...Ch. 7 - Compute the pressure at point 5 at the press...Ch. 7 - Evaluate the suitability of the sizes for the...Ch. 7 - The portable, pressurized fuel can shown in Fig....Ch. 7 - Professor Crocker is building a cabin on a...Ch. 7 - If Professor Crocker's pump, described in Problem...Ch. 7 - The test setup in Fig. 7.39 measures the pressure...Ch. 7 - If the fluid motor in Problem 7.44 has an...Ch. 7 - A village with a need for a simple irrigation...Ch. 7 - As a member of a development team for a new jet...Ch. 7 - A fire truck utilizes its engine to drive a pump...Ch. 7 - A home has a sump pump to handle ground water from...Ch. 7 - In Problem 6.107 an initial calculation was made...Ch. 7 - A creek runs through a certain part of a campus...Ch. 7 - A hot tub is to have 40 outlets that are each 8 mm...Ch. 7 - A large chipper/shredder is to be designed for use...
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- Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of 6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If, initially, tank A contains pure water and tank B contains 20 kg of salt. A 6 L/min 0.2 kg/L x(t) 100 L 4 L/min x(0) = 0 kg 3 L/min B y(t) 100 L y(0) = 20 kg 2 L/min 1 L/min Figure Q1 - Mixing problem for interconnected tanks Determine the mass of salt in each tank at time t > 0: Analytically (hand calculations)arrow_forwardplease help solvearrow_forwardplease help solvearrow_forward
- please help solvearrow_forwardplease help solvearrow_forwardA steam pipe is covered with two layers of insulation. The inner layer (k = 0.17 W/m-K) is 30 mm thick and outer layer (k = 0.023 W/m-K) is 50 mm thick. The pipe is made of steel (k = 58 W/m-K) and has inner diameter and outer diameter of 160 and 170 mm, respectively. The temperature of saturated steam is 300 °C and the ambient air is at 50 °C. If the inside and outside heat transfer coefficients are 30 W/m²K and 5.8 W/m²-K respectively, calculate the rate of heat loss per unit length of the pipe.arrow_forward
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