Log In Start studying!

Select your language

Suggested languages for you:
Deutsch (DE)
Deutsch (UK)
Deutsch (US)

Americas

Europe

Answers without the blur. Sign up and see all textbooks for free! → Illustration

Q82GP

Expert-verified
Physics Principles with Applications
Found in: Page 260
Physics Principles with Applications

Physics Principles with Applications

Book edition 7th
Author(s) Douglas C. Giancoli
Pages 978 pages
ISBN 978-0321625922

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later
Illustration

Short Answer

A bicycle pump is used to inflate a tire. The initial tire (gauge) pressure is 210 kPa (30 psi). At the end of the pumping process, the final pressure is 310 kPa (45 psi). If the diameter of the plunger in the cylinder of the pump is 2.5 cm, what is the range of the force that needs to be applied to the pump handle from beginning to end?

The range of the force will be \(102.9\;{\rm{N}} \le F \ge 151.9\;{\rm{N}}\).

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Given Data

The initial tire pressure is \({P_1} = 210\,{\rm{kPa}}\).

The final tire pressure is \({P_2} = 310\,{\rm{kPa}}\).

The diameter of the plunger is \(d = 2.5\;{\rm{cm}}\).

Step 1: Understanding the relation of force and pressure

In this problem, the range of force will be evaluated by using the product of pressure and area of the cylinder in initial and final process.

Step 2: Estimating the ranges of force

The relation of force is given by,

\(\begin{array}{l}{F_1} = {P_1}A\\{F_1} = {P_1}\left( {\frac{{\pi {d^2}}}{4}} \right)\end{array}\)

On plugging the values in the above relation.

\(\begin{array}{l}{F_1} = \left( {210\,{\rm{kPa}} \times \frac{{{{10}^3}\,{\rm{N/}}{{\rm{m}}^2}}}{{1\;{\rm{kPa}}}}} \right)\left( {\frac{{\pi {{\left( {2.5\;{\rm{cm}} \times \frac{{1\,{\rm{m}}}}{{100\;{\rm{cm}}}}} \right)}^2}}}{4}} \right)\\{F_1} = 102.9\;{\rm{N}}\end{array}\)

Step 3: Estimating the ranges of force

The relation of force is given by,

\(\begin{array}{l}{F_2} = {P_2}A\\{F_2} = {P_2}\left( {\frac{{\pi {d^2}}}{4}} \right)\end{array}\)

On plugging the values in the above relation.

\(\begin{array}{l}{F_2} = \left( {310\,{\rm{kPa}} \times \frac{{{{10}^3}\,{\rm{N/}}{{\rm{m}}^2}}}{{1\;{\rm{kPa}}}}} \right)\left( {\frac{{\pi {{\left( {2.5\;{\rm{cm}} \times \frac{{1\,{\rm{m}}}}{{100\;{\rm{cm}}}}} \right)}^2}}}{4}} \right)\\{F_2} = 151.9\;{\rm{N}}\end{array}\)

Thus, the range of the force will be \(102.9\;{\rm{N}} \le F \ge 151.9\;{\rm{N}}\).

Most popular questions for Physics Textbooks

(II) The maximum gauge pressure in a hydraulic lift is 17.0 atm. What is the largest-size vehicle (kg) it can lift if the diameter of the output line is 25.5 cm?

(I) Calculate the average speed of blood flow in the major arteries of the body, which have a total cross-sectional area of about \(2.0\;{\rm{c}}{{\rm{m}}^2}\). Use the data of Example 10–12.

Beaker A is filled to the brim with water. Beaker B is the same size and contains a small block of wood that floats when the beaker is filled with water to the brim. Which beaker weighs more?

(a) Beaker A.

(b) Beaker B.

(c) The same for both

Why does the canvas top of a convertible bulge out when the car is traveling at high speed? [Hint: The windshield deflects air upward, pushing streamlines closer together.]

As water flows from a low elevation to a higher elevation through a pipe that changes in diameter,

(a) The water pressure will increase.

(b) The water pressure will decrease.

(c) The water pressure will stay the same.

(d) Need more information to determine how the water pressure changes.
Icon

Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

Work Energy and Power

Read explanation

Radiation

Read explanation

Astrophysics

Read explanation

Fluids

Read explanation

Physics of Motion

Read explanation

Famous Physicists

Read explanation

Torque and Rotational Motion

Read explanation

Fields in Physics

Read explanation

Scientific Method Physics

Read explanation

Magnetism

Read explanation

Particle Model of Matter

Read explanation

Physical Quantities and Units

Read explanation

Medical Physics

Read explanation

Further Mechanics and Thermal Physics

Read explanation

Energy Physics

Read explanation

Force

Read explanation

Waves Physics

Read explanation

Modern Physics

Read explanation

Atoms and Radioactivity

Read explanation

Dynamics

Read explanation

Electricity and Magnetism

Read explanation

Fundamentals of Physics

Read explanation

Kinematics Physics

Read explanation

Linear Momentum

Read explanation

Geometrical and Physical Optics

Read explanation

Rotational Dynamics

Read explanation

Electrostatics

Read explanation

Space Physics

Read explanation

Magnetism and Electromagnetic Induction

Read explanation

Electromagnetism

Read explanation

Conservation of Energy and Momentum

Read explanation

Turning Points in Physics

Read explanation

Measurements

Read explanation

Engineering Physics

Read explanation

Mechanics and Materials

Read explanation

Electricity

Read explanation

Nuclear Physics

Read explanation

Circular Motion and Gravitation

Read explanation

Oscillations

Read explanation

Translational Dynamics

Read explanation

Thermodynamics

Read explanation

Electric Charge Field and Potential

Read explanation

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.