**Fluid Dynamics**

**Flow Rate**

Volume/second

**Bernoulli's Equation**

where velocity is low, pressure is high, where velocity is high pressure is low

fluids must be moving somewhere.

use Pascals, and kg/m

3

A 10 cm diameter horizontal pipe has water flowing through it at a speed of 10 m/s. The pipe narrows to 5 cm diameter, where the water exits to the outside atmosphere.

And what is the pressure in the larger section?

What is the speed of the pipe in the smaller section?

What is the flow rate?

A 2.0 cm diameter garden hose is used to fill a round swimming pool 6.1 m in diameter. How long will it take to fill the pool to a depth of 1.4 m if water flows from the hose at a speed of 4.0 m/s?

What is the velocity as it exits the nozzle?

Water comes out of the fire hydrant at a gauge pressure of 16.01 atm, though a 6.4 cm diameter hose having a flow rate of .04 m /s. The house is then lifted up a ladder to a height of 10 m and the diameter of the nozzle is 3.0 cm.

3

What is the pressure in the nozzle?

If the gauge pressure at the lower section is 3 atm, and it has an area of .045 m and a velocity of 2.5 m/s.

What is the velocity at the upper section, if the area there is .015 m

2

2

If the upper section is 5.0 m above the lower section, what is the gauge pressure there?

How fast will water leave the pipe if it opens up to the atmosphere?

**75 m/s**

A 2cm radius pipe constricts into a 5 mm radius pipe, and air exits the pipe with a speed of 75 m/s.

What is the speed of the air in the first section?

What is the pressure in the first section? density of air is 1.29 kg/m

If the u bend has mercury in it, what is the height difference between each side, density is 13600 kg/m

3

3

If a water tank open to the air on top empties through a pipe that is 10 m below the upper surface, how fast does the water flow out of the pipe?

If the difference between the mercury is 10 cm, and the diameters are 2 cm and 1 mm, what are the speeds of the air going through this pipe?

" Does the diameter size of a tube or a vein determine the speed of liquid flow?"

"I don't understand how a curveball works "

"A problem similar to the blood flow example is a shower. If the diameter of a pipe in your shower is 2.5 cm and assuming the water moves through it at a speed of 2.0 m/s moves to a shower head with 100 little nozzles with a diameter of 1.5 mm, what is the speed of the water coming out? (should look like '3.4 m/s)"

.079 m^3/s

40 m/s

851 kPa

8.4 atm

9 hr

56.6 m/s

101300 Pa

7.5 m/s

2.27 atm

22.7 m/s

14 m/s

4.69 m/s

104914 Pa

2.71 cm

**.35937 m/s**

143.75 m/s

143.75 m/s