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 forn and round your answer to the nearest tenth. O550 cm per second 9.2 cm per second O 33,000.0 cm per second 5,030.2 cm per second
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 forn and round your answer to the nearest tenth. O550 cm per second 9.2 cm per second O 33,000.0 cm per second 5,030.2 cm per second
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9fc99ab-b3a9-4577-a5d7-bccfea12d417%2Ff0450ccb-cf78-4b05-86e0-9b2e6850494c%2Fihutub8_processed.jpeg&w=3840&q=75)
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.
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