Fundamentals Of Thermal-fluid Sciences In Si Units
Fundamentals Of Thermal-fluid Sciences In Si Units
5th Edition
ISBN: 9789814720953
Author: Yunus Cengel, Robert Turner, John Cimbala
Publisher: McGraw-Hill Education
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Chapter 3, Problem 66P

(a)

To determine

The overall efficiency of the pump-motor unit.

(b)

To determine

The pressure difference between the inlet and the exit of the pump.

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Problem 1 (30 Points) Consider the following 2 scenarios. In scenario 1, a mass m slides on a cylindrical surface of radius R. In scenario 2, a mass m hangs at the end of a thin massless rod of length R. In both scenarios, there is no friction either on the surface (scenario 1), or at the pivot point of the pendulum (scenario 2). Also in both scenarios, there is one generalized coordinate, . R Scenario 1 R m R g Scenario 2 m HINT: In both scenarios, it is much easier to choose your datum for potential energy as the center of the bowl (scenario 1), or the pivot point of the pendulum (scenario 2). Part I a) Determine the Lagrangian for each system. DO NOT FIND THE EQUATIONS OF MOTION (5 points) b) What can you say about the systems based on the Lagrangian? (2 points) c) Solve for the equations of motion for both systems. (8 points) Part II Now, for scenario 1, introduce an additional coordinate and treat it as a nonholonomic system to determine the normal force acting on the mass. a)…

Chapter 3 Solutions

Fundamentals Of Thermal-fluid Sciences In Si Units

Ch. 3 - Electric power is to be generated by installing a...Ch. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - A river flowing steadily at a rate of 175 m3/s is...Ch. 3 - Consider a river flowing toward a lake at an...Ch. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - A gas in a piston-cylinder device is compressed,...Ch. 3 - A room is heated by an iron that is left plugged...Ch. 3 - A room is heated as a result of solar radiation...Ch. 3 - An insulated room is heated by burning candles. Is...Ch. 3 - Prob. 23PCh. 3 - A model aircraft internal-combustion engine...Ch. 3 - Lifting a weight to a height of 20 m takes 20 s...Ch. 3 - A construction crane lifts a prestressed concrete...Ch. 3 - A man weighing 180 lbf is pushing a cart that...Ch. 3 - Prob. 28PCh. 3 - Determine the energy required to accelerate a...Ch. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Determine the work required to deflect a linear...Ch. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - What are the different mechanisms for transferring...Ch. 3 - Prob. 37PCh. 3 - Water is being heated in a closed pan on top of a...Ch. 3 - A vertical piston-cylinder device contains water...Ch. 3 - Prob. 40PCh. 3 - A water pump increases the water pressure from 15...Ch. 3 - Prob. 42PCh. 3 - A classroom that normally contains 40 people is to...Ch. 3 - Prob. 44PCh. 3 - Consider a room that is initially at the outdoor...Ch. 3 - Prob. 46PCh. 3 - The 60-W fan of a central heating system is to...Ch. 3 - The driving force for fluid flow is the pressure...Ch. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - How is the combined pump–motor efficiency of a...Ch. 3 - Define turbine efficiency, generator efficiency,...Ch. 3 - Prob. 53PCh. 3 - Consider a 24-kW hooded electric open burner in an...Ch. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - The steam requirements of a manufacturing facility...Ch. 3 - Prob. 59PCh. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - The water in a large lake is to be used to...Ch. 3 - Prob. 63PCh. 3 - Prob. 64PCh. 3 - Reconsider Prob. 3–64. Using an appropriate...Ch. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - Prob. 68PCh. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - Prob. 72PCh. 3 - Prob. 73RQCh. 3 - Prob. 74RQCh. 3 - Prob. 75RQCh. 3 - Prob. 76RQCh. 3 - Prob. 77RQCh. 3 - Prob. 78RQCh. 3 - Prob. 79RQCh. 3 - A man weighing 180 lbf pushes a block weighing 100...Ch. 3 - Prob. 81RQCh. 3 - Prob. 82RQCh. 3 - Prob. 83RQCh. 3 - Windmills slow the air and cause it to fill a...Ch. 3 - In a hydroelectric power plant, 65 m3/s of water...Ch. 3 - Prob. 86RQCh. 3 - The pump of a water distribution system is powered...
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