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Lesson: Bernoulli's Equation

Worksheet: Bernoulli's Equation • 7 Questions

Q1:

When physicians diagnose arterial blockages, they quote the reduction in flow rate. The flow rate in an artery has been reduced to of its normal value by a blood clot and the average pressure difference between the ends of the artery has increased by . By what factor has the clot reduced the radius of the artery?

Q2:

Plaque deposits reduce a blood vessel’s radius to of its original value. The action of the heart compensates for the decrease by increasing the pressure difference along the vessel to keep the flow rate constant. By what factor must the pressure difference increase?

Q3:

Water supplied to a house by a water main has a pressure of N/m2 early on a summer day when neighborhood use is low. This pressure produces a flow of 20.0 L/min through a garden hose. Later in the day, pressure at the exit of the water main and entrance to the house drops, and a flow of only 8.00 L/min is obtained through the same hose.

What pressure is now being supplied to the house, assuming resistance is constant?

  • A N/m2
  • B N/m2
  • C N/m2
  • D N/m2
  • E N/m2

By what factor did the flow rate in the water main increase in order to cause this decrease in delivered pressure? The pressure at the entrance of the water main is N/m2, and the original flow rate was 200 L/min.

How many more users are there, assuming each would consume 20.0 L/min in the morning?

Q4:

If the pressure reading of your pitot tube is 15.0 mmHg at a speed of 200 km/h, what will it be at 700 km/h at the same altitude?

Q5:

The wings of an aircraft are required to produce 1.00 kN of lift per square meter of wing, counting the average area of the top and bottom wing surfaces as wing area. Lift is provided by the differential flow of air around the wing surface and depends on the density and speed of air over the wing surfaces. Use a value of 1.29 kg/m3 for the density of air at sea level and assume that the speed of airflow over the lower wing surface is equal to the speed of the aircraft.

At takeoff, an aircraft has a speed of 60.0 m/s. At what speed must air move over the upper wing surface for the required lift for the aircraft to be produced?

At an altitude where the density of air is of the sea level air density the aircraft has a speed of 245 m/s. At what speed must air move over the upper wing surface for the required lift for the aircraft to be produced?

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