Physics
Physics
5th Edition
ISBN: 9781260486919
Author: GIAMBATTISTA
Publisher: MCG
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 5, Problem 12P
To determine

Rank the flywheels in order of the linear speed at the rim, largest to smallest.

Expert Solution & Answer
Check Mark

Answer to Problem 12P

Since linear speed at the rim is directly proportional to radius/period, Ranking of the flywheels in order of the speed at the rim, from largest to smallest is (c)>(a)=(d)>(b)>(e).

Explanation of Solution

Write the expression for the linear speed.

v=ωr (I)

Here, v is the linear speed, ω is the angular velocity and r is the radius of spinning object.

Write the expression for the angular velocity.

ω=2πT

Here, T is the time period of rotation.

Substitute 2πT for ω in equation (I) to get v.

v=2πTr (II)

Consider option (a)

Radius of flywheel is 8.0cm and period is 4.0ms.

Substitute 8.0cm for r and 4.0ms for T in equation(II) to get v.

v=2π(4.0ms×1s103ms)cm(8.0cm×1m100)=40πm/s

Therefore, linear velocity flywheel is 40πm/s

Consider option (b)

Radius of flywheel is 2.0cm and period is 4.0ms.

v=2πTr (II)

Substitute 2.0cm for r and 4.0ms for T in equation(II) to get v.

v=2π(4.0ms×1s103ms)cm(2.0cm×1m100)=10πm/s

Therefore, linear velocity flywheel is 10πm/s

Consider option (c)

Radius of flywheel is 8.0cm and period is 1.0ms.

v=2πTr (II)

Substitute 8.0cm for r and 1.0ms for T in equation(II) to get v.

v=2π(1.0ms×1s103ms)cm(8.0cm×1m100)=160πm/s

Therefore, linear velocity flywheel is 160πm/s

Consider option (d)

Radius of flywheel is 2.0cm and period is 1.0ms.

v=2πTr (II)

Substitute 2.0cm for r and 1.0ms for T in equation(II) to get v.

v=2π(1.0ms×1s103ms)cm(2.0cm×1m100)=40πm/s

Therefore, linear velocity flywheel is 40πm/s

Consider option (e)

Radius of flywheel is 2.0cm and period is 1.0ms.

v=2πTr (II)

Substitute 1.0cm for r and 4.0ms for T in equation(II) to get v.

v=2π(4.0ms×1s103ms)cm(1.0cm×1m100)=5πm/s

Therefore, linear velocity flywheel is 5πm/s

Conclusion:

The above calculations indicates that flywheel given in option (c)and finally flywheel in option (e)has least velocity.

Since linear speed at the rim is directly proportional to radius/period, Ranking of the flywheels in order of the speed at the rim, from largest to smallest is (c)>(a)=(d)>(b)>(e).

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 5 Solutions

Physics

Ch. 5.4 - Prob. 5.8PPCh. 5.4 - Prob. 5.4CPCh. 5.4 - Prob. 5.9PPCh. 5.4 - Prob. 5.10PPCh. 5.5 - Prob. 5.5CPCh. 5.5 - Prob. 5.11PPCh. 5.5 - Conceptual Practice Problem 5.12 Analysis of the...Ch. 5.6 - Prob. 5.6CPCh. 5.6 - Prob. 5.13PPCh. 5.7 - Prob. 5.14PPCh. 5 - Prob. 1CQCh. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQCh. 5 - Prob. 11CQCh. 5 - Prob. 12CQCh. 5 - Multiple-Choice Questions 1-4 and Problem...Ch. 5 - Questions 1–4: A satellite in orbit travels around...Ch. 5 - 3. What is the direction of the satellite’s...Ch. 5 - 4. What is the direction of the satellite’s...Ch. 5 - 5. An object moving in a circle at a constant...Ch. 5 - 6. A spider sits on a DVD that is rotating at a...Ch. 5 - 7. Two satellites are in orbit around Mars with...Ch. 5 - Questions 8-9: A boy swings in a tire swing....Ch. 5 - 9. When is the tension in the rope the...Ch. 5 - Questions 10–11 concern these three...Ch. 5 - 11. An object is in nonuniform circular motion...Ch. 5 - 12. An astronaut is out in space far from any...Ch. 5 - Prob. 1PCh. 5 - 2. Convert these to radian measure: (a) 30.0°, (b)...Ch. 5 - 3. Find the average angular speed of the second...Ch. 5 - 4. An elevator cable winds on a drum of radius...Ch. 5 - 5. A wheel of radius 30 cm is rotating at a rate...Ch. 5 - 6. A soccer ball of diameter 31 cm rolls without...Ch. 5 - 7. A bicycle is moving at 9.0 m/s. What is the...Ch. 5 - 8. Dung beetles are renowned for building large...Ch. 5 - Prob. 9PCh. 5 - 9. In the construction of railroads, it is...Ch. 5 - Problems 10–12. Five flywheels are spinning as...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - 13. Objects that are at rest relative to Earth’s...Ch. 5 - Prob. 14PCh. 5 - Prob. 17PCh. 5 - Prob. 16PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - 21. A conical pendulum consists of a bob (mass...Ch. 5 - Prob. 22PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - A roller coaster car of mass 320 kg (including...Ch. 5 - Prob. 24PCh. 5 - Prob. 27PCh. 5 - Prob. 31PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 28PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - 56. Find the tangential acceleration of a freely...Ch. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 62PCh. 5 - Prob. 61PCh. 5 - Prob. 60PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - Prob. 79PCh. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 84PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Prob. 87PCh. 5 - Prob. 88PCh. 5 - Prob. 89PCh. 5 - Prob. 90PCh. 5 - Prob. 91PCh. 5 - Prob. 92PCh. 5 - Prob. 93PCh. 5 - 94. Two blocks are connected by a light string...Ch. 5 - Prob. 95PCh. 5 - Prob. 96P
Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Text book image
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
Text book image
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY