A star rotates in a circular orbit about the center of its galaxy. The radius of the orbit is 4.1 x 1020 m, and the angular speed of the star is 3.3 x 10-15 rad/s. How long (in years) does it take for the star to make one revolution around the center? (b) Number i eTextbook and Media Hint Save for Later Units Attempts: 0 of 3 used Submit Answer
A star rotates in a circular orbit about the center of its galaxy. The radius of the orbit is 4.1 x 1020 m, and the angular speed of the star is 3.3 x 10-15 rad/s. How long (in years) does it take for the star to make one revolution around the center? (b) Number i eTextbook and Media Hint Save for Later Units Attempts: 0 of 3 used Submit Answer
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Problem Statement:**
A star rotates in a circular orbit about the center of its galaxy. The radius of the orbit is \(4.1 \times 10^{20}\) m, and the angular speed of the star is \(3.3 \times 10^{-15}\) rad/s. How long (in years) does it take for the star to make one revolution around the center?
**Diagram Description:**
The diagram depicts a swirling, spiral-like galaxy with a circular orbit around its center. An arrow indicates the star moving along this circular path, emphasizing its rotational motion.
**Calculation Section:**
To solve the problem, you'll need to calculate the period of the star's orbit using the formula:
\[ T = \frac{2\pi}{\text{angular speed}} \]
Then convert the period from seconds to years.
**Input Fields:**
- (b) **Number**: Enter the calculated value here.
- **Units**: Select the appropriate units from the options provided.
**Additional Resources:**
- **eTextbook and Media**: Access this section for more detailed explanations and references.
- **Hint**: Click for help in solving the problem.
**Controls:**
- **Save for Later**: Allows you to save your progress.
- **Submit Answer**: Submit your response once you are ready.
**Attempts:**
- Attempts used: 0 of 3.
This educational resource helps students understand the dynamics of celestial mechanics through practical exercise.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1ba70b0-0b8e-40ed-8a60-2641276941d0%2Fb1a38b50-f761-472c-8f60-2f0bf5737d7f%2F6o4ajz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A star rotates in a circular orbit about the center of its galaxy. The radius of the orbit is \(4.1 \times 10^{20}\) m, and the angular speed of the star is \(3.3 \times 10^{-15}\) rad/s. How long (in years) does it take for the star to make one revolution around the center?
**Diagram Description:**
The diagram depicts a swirling, spiral-like galaxy with a circular orbit around its center. An arrow indicates the star moving along this circular path, emphasizing its rotational motion.
**Calculation Section:**
To solve the problem, you'll need to calculate the period of the star's orbit using the formula:
\[ T = \frac{2\pi}{\text{angular speed}} \]
Then convert the period from seconds to years.
**Input Fields:**
- (b) **Number**: Enter the calculated value here.
- **Units**: Select the appropriate units from the options provided.
**Additional Resources:**
- **eTextbook and Media**: Access this section for more detailed explanations and references.
- **Hint**: Click for help in solving the problem.
**Controls:**
- **Save for Later**: Allows you to save your progress.
- **Submit Answer**: Submit your response once you are ready.
**Attempts:**
- Attempts used: 0 of 3.
This educational resource helps students understand the dynamics of celestial mechanics through practical exercise.
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