College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the inital spin, the bike wheel undergoes 65.0 complete rotations.

Assuming the frictional torque remains constant, how much more time Δ?s will it take the bike wheel to come to a complete stop?

Δ?s=___________ s
 
The bike wheel has a mass of 0.725 kg and a radius of 0.385 m. If all the mass of the wheel is assumed to be located on the rim, find the magnitude of the frictional torque ?f that was acting on the spinning wheel.
 
?f=____________ N⋅m
 
### Angular Momentum Demonstration

This image illustrates a basic demonstration of angular momentum using a bicycle wheel. The person is holding a hand grip attached to the axle of a bicycle wheel. 

#### How It Works:

1. **Bicycle Wheel**:
    - The wheel is an excellent example of a rotating object with a significant angular momentum when spun at a high speed.
    
2. **Hand Grip**:
    - The grip is essential for holding the wheel and allows the person to control the wheel's orientation and handle any resulting torques.

#### Key Concepts:

1. **Angular Momentum**:
    - Angular momentum is a measure of the quantity of rotation of a body, which is the product of its moment of inertia and its angular velocity.
    - Conservation of angular momentum states that in the absence of external torques, the total angular momentum of a system remains constant.

2. **Demonstration Steps**:
    - While holding the hand grip, the wheel is spun, gaining angular velocity.
    - Once the wheel is spinning, any effort to change its orientation will be resisted by the angular momentum, which causes effects like gyroscopic precession.

#### Practical Applications:
- Angular momentum has crucial implications for a variety of fields from physics to engineering.
- Understanding these principles helps in the study of rotational dynamics in systems ranging from simple wheels to complex aerospace mechanisms.

This simple demonstration can be performed with easily accessible materials and provides insight into the fundamental properties of rotational motion.
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Transcribed Image Text:### Angular Momentum Demonstration This image illustrates a basic demonstration of angular momentum using a bicycle wheel. The person is holding a hand grip attached to the axle of a bicycle wheel. #### How It Works: 1. **Bicycle Wheel**: - The wheel is an excellent example of a rotating object with a significant angular momentum when spun at a high speed. 2. **Hand Grip**: - The grip is essential for holding the wheel and allows the person to control the wheel's orientation and handle any resulting torques. #### Key Concepts: 1. **Angular Momentum**: - Angular momentum is a measure of the quantity of rotation of a body, which is the product of its moment of inertia and its angular velocity. - Conservation of angular momentum states that in the absence of external torques, the total angular momentum of a system remains constant. 2. **Demonstration Steps**: - While holding the hand grip, the wheel is spun, gaining angular velocity. - Once the wheel is spinning, any effort to change its orientation will be resisted by the angular momentum, which causes effects like gyroscopic precession. #### Practical Applications: - Angular momentum has crucial implications for a variety of fields from physics to engineering. - Understanding these principles helps in the study of rotational dynamics in systems ranging from simple wheels to complex aerospace mechanisms. This simple demonstration can be performed with easily accessible materials and provides insight into the fundamental properties of rotational motion.
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