05 Sept 8 - Math Heavy Cons of Momentum and Bernoulli

05 Sept 8 - Math Heavy Cons of Momentum and Bernoulli -...

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Unformatted text preview: Click to edit Master subtitle style AOE 2104--Aerospace and Ocean Engineering Fall 2009 Virginia Tech 8 September 2009 Lecture 4 AOE 2104 Introduction to Aerospace Engineering Lecture 4 Another Take on Conservation of Momentum and Bernoullis Equation Click to edit Master subtitle style AOE 2104--Aerospace and Ocean Engineering Fall 2009 Virginia Tech 8 September 2009 Lecture 4 Conservation of Momentum Click to edit Master subtitle style AOE 2104--Aerospace and Ocean Engineering Fall 2009 Virginia Tech 8 September 2009 Lecture 4 Q. Newtons 2nd law states that the time rate of change of the momentum of a system equals what? A. Q. What was the mass of a small element of fluid (as found last lecture)? A. Q. So what is its momentum? A. Q. What is the momentum of the system? A. Click to edit Master subtitle style AOE 2104--Aerospace and Ocean Engineering Fall 2009 Virginia Tech 8 September 2009 Lecture 4 Therefore, the time rate of change of the linear momentum of the system (following the system) is: Click to edit Master subtitle style AOE 2104--Aerospace and Ocean Engineering Fall 2009 Virginia Tech 8 September 2009 Lecture 4 Last lecture we expressed the time rate of change of the mass of the system as: How then would you express the time rate of change of the momentum of the system? = = + Dt DM dA n V dv t cs cv Click to edit Master subtitle style AOE 2104--Aerospace and Ocean Engineering Fall 2009 Virginia Tech 8 September 2009 Lecture 4 Example: A horizontal jet of water exits a nozzle with a uniform speed of 10 ft/s. The nozzle has a cross sectional area of 0.06 ft2. The flow hits a vane which turns it through an angle...
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This note was uploaded on 04/04/2010 for the course ESM 2214 taught by Professor Lesko during the Spring '10 term at Virginia Tech.

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05 Sept 8 - Math Heavy Cons of Momentum and Bernoulli -...

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