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05 Sept 8 - Math Heavy Cons of Momentum and Bernoulli

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

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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 Bernoulli’s Equation
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Click to edit Master subtitle style AOE 2104--Aerospace and Ocean Engineering Fall 2009 Virginia Tech 8 September 2009 Lecture 4 Conservation of Momentum
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Click to edit Master subtitle style AOE 2104--Aerospace and Ocean Engineering Fall 2009 Virginia Tech 8 September 2009 Lecture 4 Q. Newton’s 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.
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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:
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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? 0 ˆ = = + ∫ ∫ ∫ ∫ ∫ Dt DM dA n V dv t cs cv ρ ρ
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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 θ .
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