Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 1, Problem 60P
A tank is filled with oil whose density is
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Airplanes A and B, flying at constant velocity and at the same altitude, are tracking the eye
of hurricane C. The relative velocity of C with respect to A is 300 kph 65.0° South of West,
and the relative velocity of C with respect to B is 375 kph 50.0° South of East.
A
120.0 km
B
1N
1. Determine the relative velocity of B with respect to A.
A ground-based radar indicates that hurricane C is moving
at a speed of 40.0 kph due north.
2. Determine the velocity of airplane A.
3. Determine the velocity of airplane B.
Consider that at the start of the tracking expedition, the
distance between the planes is 120.0 km and their initial
positions are horizontally collinear.
4. Given the velocities obtained in items 2 and 3, should
the pilots of planes A and B be concerned whether the
planes will collide at any given time? Prove using
pertinent calculations. (Hint: x = x + vt)
0
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Chapter 1 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 1 - What is a fluid? How does it differ from a solid?...Ch. 1 - Define internal, external, and open-channel flows.Ch. 1 - Define incompressible flow and in compressible...Ch. 1 - Consider the flow of air over the wings of an...Ch. 1 - What is forced flow? How does it differ from...Ch. 1 - How is the Mach number of a flow defined? That...Ch. 1 - When an airplane is flying at a constant speed...Ch. 1 - Consider the flow of air at a Mach number of 0.12....Ch. 1 - What is the no-slip condition? What causes it?Ch. 1 - What is a boundary layer? What causes a boundary...
Ch. 1 - What is a steady-flow process?Ch. 1 - Define stress, normal stress, shear stress, and...Ch. 1 - What are system, surroundings, and boundary?Ch. 1 - When analyzing the acceleration of gases as they...Ch. 1 - When is a system a closed system, and when is it a...Ch. 1 - You are to understand how a reciprocating air...Ch. 1 - What is the difference between pound-mass and...Ch. 1 - In a news ankle, is stated that a recently...Ch. 1 - Explain why the light-year has the dimension of...Ch. 1 - What is the net force acting on a car cruising at...Ch. 1 - A man goes to a traditional market to buy a steak...Ch. 1 - What is the weight, in N, of an object with a mass...Ch. 1 - What is the weight of a 1-kg substance in N,...Ch. 1 - Determine the mass and the weight of the air...Ch. 1 - A 3-kW resistance heater a water beater...Ch. 1 - A195-Ibm astronaut took his bathroom scale (a...Ch. 1 - The acceleration of high-speed aircraft sometimes...Ch. 1 - A 10-kg rock is thrown upward with a force of 280...Ch. 1 - The value of the gravitational acceleration g...Ch. 1 - At 45° latitude: the gravitational acceleration as...Ch. 1 - 1-32 The gravitational constant g is 9.807m/s2 at...Ch. 1 - On average, an adult person breathes in about 7.0...Ch. 1 - While solving a problem, a person ends up with...Ch. 1 - An airplane flies horizontally at 70m/s . Its...Ch. 1 - If the airplane of Prob. 1-35 weighs 17 lbf,...Ch. 1 - The boom of a fire truck raises a fireman (and his...Ch. 1 - A 6-kg plastic tank that has a volume of 0.18m3 is...Ch. 1 - Water at 15°C from a garden hose fills a 1.5 L...Ch. 1 - A forklift raises a 90.5 kg crate 1.80 m. (a)...Ch. 1 - The gas tank of a car is filled with a nozzle that...Ch. 1 - A pool of volume V (in m3) is to filled with water...Ch. 1 - Based on unit considerations alone, show that the...Ch. 1 - What is the importance of modeling in engineering?...Ch. 1 - What is the difference between the analytical and...Ch. 1 - When modeling an engineering process, how is the...Ch. 1 - What is the difference between precision and...Ch. 1 - How do the differential equations in the study of...Ch. 1 - What is the value of the engineering software...Ch. 1 - The weight of bodies may change somewhat from one...Ch. 1 - The reactive force developed by a jet to push an...Ch. 1 - An important design consideration in two-phase...Ch. 1 - Consider the flow of air through a wind turbine...Ch. 1 - A tank is filled with oil whose density is =850...Ch. 1 - If mass, heat, and work are not allowed to cross...Ch. 1 - The speed of an aircraft is given to be 260 m/s in...Ch. 1 - One J/kg is equal to (a) 1kPam3 (b) 1kNm/kg (c)...Ch. 1 - Which is a unit for power? (a) Btu (b) kwh (c)...Ch. 1 - The speed of an aircraft is given to be 950 km/h....Ch. 1 - The weight of a 10-kg mass at sea level is (a)...Ch. 1 - The weight of a 1 -Ibm mass is (a) 1Ibmft/s2 (b)...Ch. 1 - A hydroelectric power plant operates at its rated...Ch. 1 - Write an essay on the various mass- and...Ch. 1 - Search the Internet to find out how to properly...Ch. 1 - Another unit is kgf, which is a force unit used...Ch. 1 - Discuss why pressure tests of pressurized tanks...
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- Solve this probem and show all of the workarrow_forwardThe differential equation of a cruise control system is provided by the following equation: WRITE OUT SOLUTION DO NOT USE A COPIED SOLUTION Find the closed loop transfer function with respect to the reference velocity (vr) . a. Find the poles of the closed loop transfer function for different values of K. How does the poles move as you change K? b. Find the step response for different values of K and plot in MATLAB. What can you observe?arrow_forwardSolve this problem and show all of the workarrow_forward
- Determine the minimum applied force P required to move wedge A to the right. The spring is compressed a distance of 175 mm. Neglect the weight of A and B. The coefficient of static friction for all contacting surface is μs = 0.35. Neglect friction at the rollers. k = = 15 kN/m P A B 10°arrow_forwardDO NOT COPY SOLUTION- will report The differential equation of a cruise control system is provided by the following equation: Find the closed loop transfer function with respect to the reference velocity (vr) . a. Find the poles of the closed loop transfer function for different values of K. How does the poles move as you change K? b. Find the step response for different values of K and plot in MATLAB. What can you observe?arrow_forwarda box shaped barge 37m long, 6.4 m beam, floats at an even keel draught of 2.5 m in water density 1.025 kg/m3. If a mass is added and the vessel moves into water density 1000 kg/m3, determine the magnitude of this mass if the fore end and aft end draughts are 2.4m and 3.8m respectively.arrow_forward
- a ship 125m long and 17.5m beam floats in seawater of 1.025 t/m3 at a draught of 8m. the waterplane coefficient is 0.83, block coefficient 0.759 and midship section area coefficient 0.98. calculate i) prismatic coefficient ii) TPC iii) change in mean draught if the vessel moves into water of 1.016 t/m3arrow_forwardc. For the given transfer function, find tp, ts, tr, Mp . Plot the resulting step response. G(s) = 40/(s^2 + 4s + 40) handplot only, and solve for eacharrow_forwardA ship of 9000 tonne displacement floats in fresh water of 1.000 t/m3 at a draught 50 mm below the sea water line. The waterplane area is 1650 m2. Calculate the mass of cargo which must be added so that when entering seawater of 1.025 t/m3 it floats at the seawater line.arrow_forward
- A ship of 15000 tonne displacement floats at a draught of 7 metres in water of 1.000t/cub. Metre.It is required to load the maximum amount of oil to give the ship a draught of 7.0 metre in seawater ofdensity 1.025 t/cub.metre. If the waterplane area is 2150 square metre, calculate the massof oil requiredarrow_forwardA ship of 8000 tonne displacement floats in seawater of 1.025 t/m3 and has a TPC of 14. The vessel moves into fresh water of 1.000 t/m3 and loads 300 tonne of oil fuel. Calculate the change in mean draught.arrow_forwardAuto Controls DONT COPY ANSWERS - will report Perform the partial fraction expansion of the following transfer function and find the impulse response: G(s) = (s/2 + 5/3) / (s^2 + 4s + 6) G(s) =( 6s^2 + 50) / (s+3)(s^2 +4)arrow_forward
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