12.2 Bernoulli’s Equation

At what depth beneath the surface of the lake is the pressure in the water equal to twice atmospheric pressure?

1. 10 m
2. 100 m
3. 1000 m
4. 10,000 m

According to Bernoulli's equation, if the pressure in a given fluid is constant and the kinetic energy per unit volume of a fluid increases, which of the following is true?

1. The potential energy per unit volume of the fluid decreases.
2. The potential energy per unit volume of the fluid increases.
3. The fluid must no longer be considered incompressible.
4. The flow rate of the fluid increases.

Verify that pressure has units of energy per unit volume.

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

Every few years, winds in Boulder, Colorado, attain sustained speeds of 45.0 m/s (about 100 mi/h) when the jet stream descends during early spring. Approximately what is the force due to the Bernoulli effect on a roof having an area of $\text{220} \text{m}^{2}$? Typical air density in Boulder is $1 . \text{14} \text{kg}/\text{m}^{3}$, and the corresponding atmospheric pressure is $8 . \text{89} \times \text{10}^{4} \text{N}/\text{m}^{2}$. (Bernoulli’s principle as stated in the text assumes laminar flow. Using th…

(a) What is the pressure drop due to the Bernoulli effect as water goes into a 3.00-cm-diameter nozzle from a 9.00-cm-diameter fire hose while carrying a flow of 40.0 L/s? (b) To what maximum height above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.)