Lesson: Conservation of Energy in Moving Fluids High School Physics

Physics

In this lesson, we will learn how to use the Bernoulli equation to describe the relation of the pressure exerted by a fluid flow to its total energy.

Worksheet: 11 Questions

Q1:

The Bernoulli equation applies to the streamlines of smoothly flowing fluids of constant density. The equation can be written in the form 𝑝+𝜌𝑔+12𝜌𝑣=𝑘, where 𝑘 is a constant. In the equation,𝑝 is term (i), 𝜌𝑔 is term (ii), and 12𝜌𝑣 is term (iii).

Which term represents the dynamic pressure exerted by a fluid?

Which term represents the hydrostatic pressure exerted by a fluid?

Which term represents the static pressure exerted by a fluid?

Q2:

Water with a constant density of 1,000 kg/m3 flows smoothly along a streamline. The water enters the streamline moving at 3.33 m/s and exits the streamline moving at 2.72 m/s. The vertical displacement of the exit point of the streamline from the entry point of the streamline is 0.164 m.

What is the change in the static pressure exerted by the fluid between the entry and exit points of the streamline?

Does the static pressure exerted by the fluid increase or decrease along the streamline?

Q3:

The Bernoulli equation applies to the streamlines of smoothly flowing fluids of constant density. The equation relates the density of the fluid, 𝜌; the static pressure exerted by the fluid, 𝑝; the velocity of the fluid, 𝑣; the acceleration due to gravity, 𝑔; and the vertical displacement of the fluid, . The equation can be written in the form 𝑝+𝜌𝑔+12𝜌𝑣=𝑘, where 𝑘 is a constant.

The term 12𝜌𝑣 in the equation represents the energy per unit of the fluid along the streamline.

The term 𝜌𝑔 in the equation represents the energy per unit of the fluid along the streamline.

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