Book cover for College Physics for AP® Courses

College Physics for AP® Courses

Irina Lyublinskaya, Gregg Wolfe, Douglas Ingram , Liza Pujji

ISBN #9781938168932

2,282 Questions

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Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

This section covers fundamental principles of fluid dynamics, beginning with the definition and calculation of flow rate, moving into the continuity equation for incompressible fluids, and exploring Bernoulli's equation which relates pressure, velocity, and height in an energy conservation framework. It further delves into viscosity, laminar flow, and Poiseuille’s law, showcasing how small changes in tube radius can drastically alter flow rates. Moreover, by introducing the Reynolds number, the text explains how to differentiate between laminar and turbulent flows, and finally discusses molecular transport phenomena including diffusion, osmosis, and active transport. Together, these topics form the basis for understanding fluid behavior in both natural and technological systems.

Learning Objectives

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Key Concepts

CONCEPT

DEFINITION

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Example Problems

Example 1

What is the average flow rate in $\mathrm{cm}^{3} / \mathrm{s}$ of gasoline to the engine of a car traveling at 100 $\mathrm{km} / \mathrm{h}$ if it averages 10.0 $\mathrm{km} /$ L?

Example 2

The heart of a resting adult pumps blood at a rate of 5.00 L/min. (a) Convert this to $\mathrm{cm}^{3} / \mathrm{s}$ . (b) What is this rate in $\mathrm{m}^{3} / \mathrm{s} ?$

Example 3

Blood is pumped from the heart at a rate of 5.0 L/min into the aorta (of radius 1.0 cm). Determine the speed of blood through the aorta.

Example 4

Blood is flowing through an artery of radius 2 mm at a rate of 40 cm/s. Determine the flow rate and the volume that passes through the artery in a period of 30 s.

Example 5

The Huka Falls on the Waikato River is one of New Zealand's most visited natural tourist attractions (see Figure 12.30). On average the river has a flow rate of about 300,000 L/s. At the gorge, the river narrows to 20 m wide and averages 20 m deep. (a) What is the average speed of the river in the gorge? (b) 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?

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