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In this lesson, we will learn how to use Bernoulli's equation to calculate the pressure exerted by a fluid and the potential and kinetic energy of a fluid.

Q1:

When physicians diagnose arterial blockages, they quote the reduction in flow rate. The flow rate in an artery has been reduced to 1 0 . 0 % of its normal value by a blood clot and the average pressure difference between the ends of the artery has increased by 2 0 . 0 % . By what factor has the clot reduced the radius of the artery?

Q2:

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/m^{3} 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 2 5 . 0 % 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?

Q3:

Water flows through a 10.0-meter-long section of 10.16-centimeter-diameter pipe that abruptly contracts to a 1.00-meter-long section of 0.635-centimeter-diameter pipe. If the water is flowing at 0.1515 L/s, calculate the total pressure drop over the two sections.

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