Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Related questions
Question
![If a point travels on a compact disc 550 cm in 1 minute, what is the linear velocity of the point in cm per second? Use 3.14 as an approximation for π and round your answer to the nearest tenth.
- 550 cm per second
- 9.2 cm per second
- 33,000.0 cm per second
- 5,030.2 cm per second
To answer this question, start by converting the distance traveled per minute to a per second value. Since 1 minute equals 60 seconds, you need to divide 550 cm by 60 seconds. This will provide the linear velocity in cm per second.
**Step-by-Step Solution:**
1. Convert time from minutes to seconds:
\[1 \text{ minute} = 60 \text{ seconds}\]
2. Calculate linear velocity:
\[ \text{Linear velocity} = \frac{550 \text{ cm}}{60 \text{ seconds}} \approx 9.2 \text{ cm per second}\]
Thus, the correct answer is:
- **9.2 cm per second**
You can use this structured breakdown to understand linear velocity on a circular path and how to convert time units to ensure accurate calculations.](https://content.bartleby.com/qna-images/question/e9fc99ab-b3a9-4577-a5d7-bccfea12d417/f0450ccb-cf78-4b05-86e0-9b2e6850494c/ihutub8_processed.jpeg)
Transcribed Image Text:If a point travels on a compact disc 550 cm in 1 minute, what is the linear velocity of the point in cm per second? Use 3.14 as an approximation for π and round your answer to the nearest tenth.
- 550 cm per second
- 9.2 cm per second
- 33,000.0 cm per second
- 5,030.2 cm per second
To answer this question, start by converting the distance traveled per minute to a per second value. Since 1 minute equals 60 seconds, you need to divide 550 cm by 60 seconds. This will provide the linear velocity in cm per second.
**Step-by-Step Solution:**
1. Convert time from minutes to seconds:
\[1 \text{ minute} = 60 \text{ seconds}\]
2. Calculate linear velocity:
\[ \text{Linear velocity} = \frac{550 \text{ cm}}{60 \text{ seconds}} \approx 9.2 \text{ cm per second}\]
Thus, the correct answer is:
- **9.2 cm per second**
You can use this structured breakdown to understand linear velocity on a circular path and how to convert time units to ensure accurate calculations.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps with 3 images
Knowledge Booster
Similar questions
- A figure skater is sponning with her arms outstretched at an angular velocity of 76.4 revolutions per minute. If her fingertips travel in circular motion with a radius of 90cm what is the linear velocity of her finger tip in metres per second?arrow_forwardA stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of 10 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 2 seconds later? B. At what time does the stone hit the ground? C. What is the velocity of the stone when it hits the ground?arrow_forwardA Ferris wheel was built for an exposition. It held 2100 people, had a diameter of 251 ft, and took 25 minutes to make one revolution. Find the linear velocity in ft/sec for a person riding this wheel. The linear velocity is ft/sec. (Type an integer or decimal rounded to the nearest tenth as needed.) ←arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage Learning
Thomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON 
Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. Freeman
Calculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning