# Fundamentals of Physics Chapter 14 Solutions: Fluids

Halliday Resnick & Walker Fundamentals of Physics Volume 1 Solutions for Chapter 14 ‘Fluids’ are a study material designed for Class 12 and JEE preparations. These Resnick Halliday Walker Solutions hold information based on the difference between fluids and solids and relate density to mass and volume when the mass is uniformly distributed. There are various essential topics covered in the chapter such as the definition of fluids, density and pressure, fluids at rest, measuring pressure, pascal’s principle, Archimedes’ Principle, the equation of continuity, and Bernoulli’s equation.

Resnick Halliday and Walker Physics solutions for Fluids contain 8 modules in the and 90 questions that will help you prepare all concepts in the chapter. To solve these questions it is crucial for you to understand the chapter thoroughly. It would help boost your confidence level before you solve questions in your examination. Resnick Halliday and Walker Volume 1 Fluids chapter is also of great importance in case you are preparing for competitive exam levels.

Instasolv provides exercise-wise solutions for Halliday Resnick Volume 1 Chapter 14 Fluids. There are plenty of problems that might occur while solving exercises but these solutions can help you you save a lot of time. Whether it be the concepts of volume flow rate, mass flow rate, irrotational flow or the equation of continuity, the subject matter experts at instasolv are always on board to help you with all your queries in this chapter.

## Important Topics for Halliday Resnick and Walker Fundamentals of Physics Volume 1 Solutions Chapter 14: Fluids

**Density: **The density of any material is said to be materials mass per unit volume. It is written as ρ = m/V

**Fluid Pressure: **Any that can flow is called fluid. It takes the shape of the boundaries of its container because it cannot withstand shearing stress. However, it can exert a force perpendicular to its surface. The force applied is described as pressure (p)

p = F/A

**Pressure Variation with Height and Depth: **When at rest, pressure in fluid changes with vertical position (y). For y measure upward the equation is:

p_{2} = p_{1} + pg(y_{1} – y_{2})

The pressure in a fluid is equal for all points at whatever level. If h is the depth if a fluid sample below some reference level at which the pressure is p_{o}, then the pressure is

p = p_{o} + p g h

**Pascal’s Principle: **A change in the pressure that is applied to an enclosed fluid is transmitted undiminished to each portion of the fluid and to all the walls of the container or vessel.

**Archimedes’ Principle: **A buoyant force from the surrounding fluid acts upon the body when it is fully or partially submerged in the fluid. The force is directed upwards and has a magnitude given by:

F_{b} = m_{f} g

Also, the apparent weight of the body on which the buoyant force acts is related to its actual weight by:

weight_{app} = weight – F_{b}

**Flow of Ideal Fluids: **An ideal fluid cannot be compressed and lacks viscosity with a steady and irrotational flow. The path that an individual fluid particle follows is known as streamline. Also, a tube of flow is a bundle of streamlines. The flow within any tube of flow obeys the equation of continuity that is:

R_{v} = A_{v} = a constant

Here, R_{v} = volume flow rate

A = cross-sectional area

v = speed of the fluid at that point

**Bernoulli’s Principle: **Application of the principle of conservation of mechanical energy to the ideal fluid flow leads to Bernoulli’s Principle along any tube of flow:

p + ½ pv^{2} + pgy = a constant

### Exercise-wise Discussion of Halliday Resnick and Walker Fundamentals of Physics Volume 1 Solutions Chapter 14: Fluids

**Module1: Fluids, Density, and Pressure **

Module 1 of Resnick Halliday & Walker volume 1 Solutions for Fluids has a total of 7 questions. These questions are based on calculating the force on the bottom of the container due to fluids.

**Module 2: Fluids at Rest**

There are overall 17 questions in this module. These questions are based on the basic concept of fluids when at rest. You will have to find the solutions to questions like calculating the hydrostatic difference in the blood pressure between the brain and the foot of a person with a given height and gauge pressure.

**Module 3: Measuring Pressure**

There are a total of 3 questions in the third module that are based on measuring the pressure of fluids. The questions include calculating the atmospheric pressure, or measuring the height of the atmosphere if air density were uniform and decreased to zero with height.

**Module 4: Pascal’s Principle **

This module comprises just 2 questions in all. You will have to answer these questions using pascal’s principle. The questions will be for example how many kilograms of sand must be poured in a container in order to compress the spring by 5.00cm.

**Module 5: Archimedes’ Principle**

This module consists of 18 questions and contains questions that have to be answered using the Archimedes Principle. You will answer the questions such as find the inner diameter of the hollow spherical iron shell that floats almost completely submerged in water or find the lead mass of a wooden block if the lead is fitted to the blocks.

**Module 6: The Equation of Continuity **

There are a total of 6 questions in the sixth module. The questions are based on finding the power of a pump and depth of the river with a certain speed and height.

**Module 7: Bernoulli’s Equation**

There are 17 questions in this module which are to be answered using Bernoulli’s equation. The questions are based on calculating the work done by pressure or speed of aircraft.

**Module 8: Additional Questions**

All the extra or additional questions that are not covered in the above modules are covered in this module. There are a total of 17 questions in this module. These additional questions are a mixture of all the questions based on different concepts. This module helps in increasing the practice level as well.

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