×
Get Full Access to University Physics - 13 Edition - Chapter 9 - Problem 20e
Get Full Access to University Physics - 13 Edition - Chapter 9 - Problem 20e

×

# Compact Disc. A compact disc (CD) stores music in a coded

ISBN: 9780321675460 31

## Solution for problem 20E Chapter 9

University Physics | 13th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

University Physics | 13th Edition

4 5 1 344 Reviews
19
5
Problem 20E

Compact Disc.? A compact disc (CD) stores music in a coded pattern of tiny pits 10-7 m deep. The pits are arranged in a track that spirals outward toward the rim of the disc; the inner and outer radii of this spiral are 25.0 mm and 58.0 mm, respectively. As the disc spins inside a CD player, the track is scanned at a constant ?linear? speed of 1.25 m/s. (a) What is the angular speed of the CD when the innermost part of the track is scanned? The outermost part of the track? (b) The maximum playing time of a CD is 74.0 min. What would be the length of the track on such a maximum-duration CD if it were stretched out in a straight line? (c) What is the average angular acceleration of a maximum- duration CD during its 74.0-min playing time? Take the direction of rotation of the disc to be positive.

Step-by-Step Solution:
Step 1 of 3

Solution 20E To solve this question, we shall have to consider the relationship between linear speed and angular speed. The relationship is given by v = r , where v is the linear speed, ris the radius of circular path and is the angular speed. (a) Given, linear speed v = 1.25 m/s 3 Inner radius of the spiral r 1 25.0 mm = 25.0 × 10 m The angular speed when the innermost part is scanned is, = v = 1.25 m/s = 50 rad/s i r1 25.0×103m Outer radius of the spiral r =258.0 mm = 58.0 × 10 3 m The angular speed when the outermost...

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://studysoup.com/tsg/17789/university-physics-13-edition-chapter-9-problem-20e", "fetch_time": 1607176472000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2020-50/segments/1606141747887.95/warc/CC-MAIN-20201205135106-20201205165106-00656.warc.gz", "warc_record_offset": 509414121, "warc_record_length": 11659, "token_count": 544, "char_count": 1987, "score": 3.765625, "int_score": 4, "crawl": "CC-MAIN-2020-50", "snapshot_type": "latest", "language": "en", "language_score": 0.8683537840843201, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00042-of-00064.parquet"}