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Lesson: Flow Rate and Continuity

Worksheet: Flow Rate and Continuity • 5 Questions

Q1:

What is the average flow rate in of gasoline to the engine of a car traveling at 100 km/h if the car has an average fuel economy of 10.0 km/L?

Q2:

The Huka Falls on the Waikato River is one of New Zealand’s most visited natural tourist attractions. On average, the river has a flow rate of about L/s. At the gorge, the river narrows to 20-m wide and averages 20-m deep.

What is the average speed of the river in the gorge?

What is the average speed of the water in the river downstream of the falls when it widens to 60 m and its depth increases to an average of 40 m?

Q3:

The inside volume of a house is equivalent to that of a rectangular solid 13.0 m wide by 20.0 m long by 2.75 m high. The house is heated by a forced air gas heater. The main uptake air duct of the heater is 0.300 m in diameter. What is the average speed of air in the duct if it carries a volume equal to that of the house’s interior every 15 minutes?

Q4:

The flow rate of blood through a m-radius capillary is cm3/s .

What is the speed of the blood flow?

  • A cm/s
  • B cm/s
  • C cm/s
  • D cm/s
  • E cm/s

Assuming all the blood in the body passes through capillaries, how many of them must there be to carry a total flow of 90.0 cm3/s?

  • A
  • B
  • C
  • D
  • E

Q5:

A container of water has a cross-sectional area of 0.100 m2. A piston sits on top of the water, as shown. There is a spout located 0.150 m from the bottom of the tank, open to the atmosphere, and a stream of water exits the spout. The cross sectional area of the spout is m2.

What is the speed of the water as it leaves the spout?

How far from the spout does the water hit the floor? Ignore all friction and dissipative forces.

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