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Classical Mechanics Lecture 26

Classical Mechanics Lecture 26. Today ’ s Concepts: A) Moving Fluids B) Bernoulli ’ s Equation. Clicker Question. This picture is A) Real B) Fake. Clicker Question. Through which hole will the water come out fastest?. A. B. C. D P = r g D y. CheckPoint.

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Classical Mechanics Lecture 26

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  1. Classical MechanicsLecture 26 Today’s Concepts: A) Moving Fluids B) Bernoulli’s Equation

  2. Clicker Question This picture is A) Real B) Fake

  3. Clicker Question Through which hole will the water come out fastest? A B C DP=rgDy

  4. CheckPoint Water flows through a pipe that has a constriction in the middle as shown. How does the speed of the water in the constriction compare to the speed of the water in the rest of the pipe? A) It is bigger B) It is smaller C) It is the same Water is incompressible so when it goes through the constriction the water has to speed up in order to squeeze all the water through 

  5. CheckPoint Water flows through a pipe that has a constriction in the middle as shown. How does the pressure of the water in the constriction compare to the pressure of the water in the rest of the pipe? A) It is bigger B) It is smaller C) It is the same

  6. CheckPoint Water flows through a pipe that has a constriction in the middle as shown. How does the pressure of the water in the constriction compare to the pressure of the water in the rest of the pipe? A) It is bigger B) It is smaller C) It is the same A) because it's being forced through a smaller pipe it has greater pressure. B) Pressure must be the same throughout the pipe. C) Since the fluid is all at the same height the sum (P + .5pv²) is constant throughout the pipe. The velocity is greater in the constriction, so the pressure there must be smaller.

  7. Clicker Question Two empty pop cans are placed about ¼” apart on a frictionless surface. If you blow air between the cans, what happens? A) The cans move toward each other. B) The cans move apart. C) The cans don’t move at all. Blowing air

  8. CheckPoint hR PR PL hL Bernoulli’sEquation 0 Water flows from left to right along a pipe as shown. The right end of the pipe is twice as high as and also has four times the area of the left end.  Which of the following statements best relates the pressures at the ends of the pipe? A)PL=2PR B) PL=PR C) PL=½ PR D) The relative size of PL and PR depends on the speed of the flow.

  9. Clicker Question Suppose the water isn't moving. The right end of the pipe is twice as high as and also has four times the area of the left end.  Which of the following statements best relates the pressures at the ends of the pipe? A) PL= 2PR B) PL=PR C) PL=½ PR D) PL - PR= rg (hr- hL) hR PR PL hL Bernoulli’sEquation 0

  10. Clicker Question hR PR PL hL Bernoulli’sEquation 0 Water flows from left to right along a pipe as shown. The right end of the pipe is twice as high as and also has four times the area of the left end.  Which of the following statements best relates the pressures at the ends of the pipe? A) PL=2PR B)PL=PR C) PL=½ PR D) PL -PR=rg (hR -hL)+1/2r (vR2-vL2)

  11. Clicker Question hR PR PL hL Bernoulli’sEquation 0 We just saw that PL-PRcan be written in the following way: Is there any reason this has to mean PL= 2PRorPL =PRor PL= ½ PR A) Yes B) No

  12. CheckPoint Water flows from left to right along a pipe as shown. The right end of the pipe is twice as high as and also has four times the area of the left end.  Which of the following statements best relates the pressures at the ends of the pipe? A) PL=2PR B) PL=PR C) PL=½ PR D) The relative size of PL and PR depends on the speed of the flow. hR PR PL hL 0

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