T = vt v = at d = 1/2 at^2 d = v_0 t + 1/2 at^2 v^2_f =v^2_i + 2 ad In this simu

Question

T = vt v = at d = 1/2 at^2 d = v_0 t + 1/2 at^2 v^2_f =v^2_i + 2 ad In this simulation, water is allowed to flow out of a hole at the bottom of a tall water tower. Play with the simulation and use the tools provided before answering the questions below. When allowing fluid out, assume tank is FILLED. _____ Does the speed of the flow of the water (out of the tank) depend upon the height of the tank? _____ Why do you suppose this is? _____ Does the speed of the flow depend upon the fluid density? _____ What does flow speed depend upon? _____ Explain this relationship (in your own words). _____ What happens to the stream of fluid after it leaves the tank? _____ Describe the path of the fluid steam. _____ Does it remind you of anything you have seen before (in physics, not in the bathroom)? _____ What does it remind you of? How far (horizontally) will a steam of water travel if it exists the water tower at 14 m/s 10m above the ground? How far do you suppose a baseball will travel if thrown horizontally 14 m/s from the top of a 10m-high ladder? _____ Turn on the hose and leave it aimed directly upward. Adjust the other pieces of the simulation. What do you notice about the height of the little fountain created? _____ When you have your blood pressure monitored, the nurse places the cuff on your arm, just below the shoulder. Why do you suppose this is? What organ is s/he really measuring? The height difference between the top of the tower and the leaking hole is 10 m. Using the Bernoulli's big ol' continuity formula, to what depth would the tower need to be filled to produce a stream leaving the hole at 8.0 m/s? _____ As the stream falls it gains speed. Why is this? _____

Explanation / Answer

1) Does the speed of the flow of the water (out of the tank) depend upon the height of the tank?

Ans: Yes

2) Why do you suppose this is?

Ans: As the tank height increases the pressure at the bottom increases thats why when fluid comes out its speed increases

3) Does the speed of the flow depend upon the fluid density?

Ans: No

4) What does flow speed depend upon?

Ans: The amount of water in the tank

5) Explain this relationship (in your own words)

Ans: The more water there is in the tank above the area it exits, themore pressure there is to push the water out at a greater speed

6) What happens to the stream of fluid after it leaves the tank?

Ans: It increases in speed

7) Describe the path of the fluid steam

Ans: It arcs downwards

8) Does it remind you of anything you have seen before (in physics, not in the bathroom)?

Ans: Yes

9) What does it remind you of ?

Ans: A thrown baseball

10) How far (horizontally) will a steam of water travel if it exists the water tower at 14 m/s 10m

Ans: Probablyabout 19.5 meters

11) Turn on thehoseand leave it aimed directly upward.Adjust the other pieces of thesimulation.What do you notice about the height of the little fountain created ?

Ans: It only goes as high as the level of water in the tank

12) When you have your blood pressure monitored, the nurse places the cuff on your arm, just below the shoulder.Why do you supposethis is ?

Ans:  Because its closer the level of the heart, which gives her a more accurate reading

13) What organ is s/he really measuring ?

Ans: The heart

14) The height difference between the top of the tower and the leaking hole is 10 m.Using the Bernoulli’s big ol’ continuity formula, towhat depth would the tower need to be filled to produce a stream leaving the hole at 8.0 m/s?

Ans: V = sqrt(2*g*h)
H = v^2/2*g = 8^2/(2*9.8)

= 3.27 s

15) As the stream falls it gains speed.Why is this ?

Ans: Because the farther from the ground it is, the longer gravity can affect it

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