what is the angular momentum (in kg · m2/s) of the spinning wheel about its axis in the air the moment the bike leaves the ground? (Assume the wheel can be approximated by a hoop rotating abo its center of mass that rolls without slipping before the jump. Enter the magnitude.)
what is the angular momentum (in kg · m2/s) of the spinning wheel about its axis in the air the moment the bike leaves the ground? (Assume the wheel can be approximated by a hoop rotating abo its center of mass that rolls without slipping before the jump. Enter the magnitude.)
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)...
Related questions
Question
![A mountain biker takes a jump in a race and goes airborne. The mountain bike is traveling at **12.5 m/s** before it goes airborne. If the mass of the front wheel on the bike is **950 g** and has a radius of **30 cm**, what is the angular momentum (in kg·m²/s) of the spinning wheel about its axis in the air the moment the bike leaves the ground? (Assume the wheel can be approximated by a hoop rotating about its center of mass that rolls without slipping before the jump. Enter the magnitude.)
[Input Box] kg · m²/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01331f62-4abc-4e4c-96db-9533ffa1b434%2Fd99aac1a-dac8-4f91-b7dc-3d33820b2f28%2Fahowwzt_processed.png&w=3840&q=75)
Transcribed Image Text:A mountain biker takes a jump in a race and goes airborne. The mountain bike is traveling at **12.5 m/s** before it goes airborne. If the mass of the front wheel on the bike is **950 g** and has a radius of **30 cm**, what is the angular momentum (in kg·m²/s) of the spinning wheel about its axis in the air the moment the bike leaves the ground? (Assume the wheel can be approximated by a hoop rotating about its center of mass that rolls without slipping before the jump. Enter the magnitude.)
[Input Box] kg · m²/s
![### Wind Turbine Mechanics
The problem statement involves calculating mechanics properties for a wind turbine with given specifications.
---
#### Specifications:
- **Blade Length:** 50 meters
- **Maximum Rotation Rate:** 12 revolutions per minute (rev/min)
#### (a) Angular Momentum Calculation
- **Blade Mass:** 5,900 kg each
- **Number of Blades:** 3
- **Assumption:** Turbine blades are approximated as rods rotating about one end.
##### Task:
Calculate the angular momentum (in kg·m²/s) of the turbine at the given rotation rate.
##### Input Field:
- **Angular Momentum:** [ ] kg·m²/s
---
#### (b) Torque Calculation
- **Time to Reach Maximum Rotation Rate:** 5 minutes
- **Assumption:** Blades start from rest.
##### Task:
Calculate the torque (in N·m) required to rotate the blades to the maximum rotation rate.
##### Input Field:
- **Torque:** [ ] N·m
---
This educational problem aids in understanding the application of physics principles such as angular momentum and torque in the context of large-scale machinery like wind turbines.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01331f62-4abc-4e4c-96db-9533ffa1b434%2Fd99aac1a-dac8-4f91-b7dc-3d33820b2f28%2Fb6oyw6_processed.png&w=3840&q=75)
Transcribed Image Text:### Wind Turbine Mechanics
The problem statement involves calculating mechanics properties for a wind turbine with given specifications.
---
#### Specifications:
- **Blade Length:** 50 meters
- **Maximum Rotation Rate:** 12 revolutions per minute (rev/min)
#### (a) Angular Momentum Calculation
- **Blade Mass:** 5,900 kg each
- **Number of Blades:** 3
- **Assumption:** Turbine blades are approximated as rods rotating about one end.
##### Task:
Calculate the angular momentum (in kg·m²/s) of the turbine at the given rotation rate.
##### Input Field:
- **Angular Momentum:** [ ] kg·m²/s
---
#### (b) Torque Calculation
- **Time to Reach Maximum Rotation Rate:** 5 minutes
- **Assumption:** Blades start from rest.
##### Task:
Calculate the torque (in N·m) required to rotate the blades to the maximum rotation rate.
##### Input Field:
- **Torque:** [ ] N·m
---
This educational problem aids in understanding the application of physics principles such as angular momentum and torque in the context of large-scale machinery like wind turbines.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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.Recommended textbooks for you
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON