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

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 5, Problem 92P

(a)

To determine

The angular displacement of Earth in one day.

(a)

Expert Solution
Check Mark

Answer to Problem 92P

The angular displacement of Earth in one day is 1.72×102rad.

Explanation of Solution

Write an expression to calculate the angular displacement of Earth in one day.

Δθ=2πTΔt (I)

Here, the angular displacement of Earth in one day is Δθ, the time taken for complete revolution is T and the time taken is Δt.

Conclusion:

Substitute 365.25d for T, and 1d in equation (I) to find Δθ.

Δθ=2π(365.25d)(1d)=2π(2.74×103)=1.72×102rad

Thus, the angular displacement of Earth in one day is 1.72×102rad.

(b)

To determine

The change in Earth’s velocity.

(b)

Expert Solution
Check Mark

Answer to Problem 92P

The change in Earth’s velocity is  514m/s towards the Sun.

Explanation of Solution

Write an expression to calculate the change in Earth’s velocity.

|Δv|=2πrTΔθ (II)

Here, the change in Earth’s velocity is |Δv| and the distance between Sun and Earth is r.

Conclusion:

Substitute 1.50×1011m for r, 365.25d for T, and 1.72×102rad for Δθ in equation (II) to find |Δv| .

|Δv|=2π(1.50×1011m)((365.25d)(24h1d)(60min1h)(60s1min))(1.72×102rad)=2π(1.50×1011m)(1.72×102rad)3.156×107s=514m/s

Thus, the change in Earth’s velocity is  514m/s towards the Sun.

(c)

To determine

The average acceleration during one day.

(c)

Expert Solution
Check Mark

Answer to Problem 92P

The average acceleration during one day is 0.00595m/s2perpendicular to the average velocity.

Explanation of Solution

Write an expression to calculate the average acceleration during one day.

|aav|=2πrΔθTΔt (III)

Here, the average acceleration during one day is |aav|.

Conclusion:

Substitute 1.50×1011m for r, 1.72×102rad for Δθ, 365.25d for T, and 1d for Δt equation (III) to find |aav|.

|aav|=2π(1.50×1011m)(1.72×102rad)((365.25d)(24h1d)(60min1h)(60s1min))((1d)(24h1d)(60min1h)(60s1min))=2π(1.50×1011m)(1.72×102rad)(365.25d)(1d)((24h1d)(60min1h)(60s1min))2=0.00595m/s2

Thus, the average acceleration during one day is 0.00595m/s2perpendicular to the average velocity.

(d)

To determine

Compare the average acceleration with Earth’s instantaneous radial acceleration.

(d)

Expert Solution
Check Mark

Answer to Problem 92P

The average acceleration with Earth’s is equal to the instantaneous radial acceleration.

Explanation of Solution

Write an expression to calculate the radial acceleration.

ar=4π2rT2 (IV)

Here, the radial acceleration is ar.

Conclusion:

Substitute 1.50×1011m for r, and 365.25d for T equation (IV) to find ar.

ar=4π2(1.50×1011m)((365.25d)(24h1d)(60min1h)(60s1min))2=4π2(1.50×1011m)((365.25d)(86400s1d))2=0.00595m/s2

Thus, Earth’s motion for one day tends to make small angle at the Sun, thus, the arc length and the chord length along the Earth's orbit are very nearly equal.

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!
Students have asked these similar questions
What is the error determined by the 2/3 rule?
Your colleague gives you a sample that are supposed to consist of Pt-Ni nanoparticles, TiO2 nanorod arrays, and SiO2 monolith plates (see right panel schematic). The bimetallic Pt-Ni nanoparticles are expected to decorate on the side surfaces of the aligned TiO2 nanorod arrays. These aligned TiO2 nanoarrays grew on the flat SiO2 monolith. Let's assume that the sizes of the Pt-Ni nanoparticles are > 10 nm. We further assume that you have access to a modern SEM that can produce a probe size as small as 1 nm with a current as high as 1 nA. You are not expected to damage/destroy the sample. Hint: keep your answers concise and to the point. TiO₂ Nanorods SiO, monolith a) What do you plan to do if your colleague wants to know if the Pt and Ni formed uniform alloy nanoparticles? (5 points) b) If your colleague wants to know the spatial distribution of the PtNi nanoparticles with respect to the TiO2 nanoarrays, how do you accomplish such a goal? (5 points) c) Based on the experimental results…
Find the current in 5.00 and 7.00 Ω resistors. Please explain all reasoning

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.
Similar questions
SEE MORE QUESTIONS
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