A motorcycle wheel that is exactly 1.25 m in diameter, 0.20 m thick and 2.5 kg in mass is rotating at 60 revolutions per minute. a) What is the magnitude of the angular velocity of the motorcycle wheel, to the stafl in radians per second? for b) What is the magnitude of the velocity of the outermost rim of the Pleae taff per ular motorcycle wheel (r = 62.5 cm), in m/s? to the dy). (13 pointe c) What is the magnitude of the velocity of a point that is 30.0 cm from bic b) Calculate the rotational kincti the central axis of the motorcycle wheel, in m/s? iat an velocity of 0.75 ad shou an s
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
![Question
A motorcycle wheel that is exactly 1.25 m in diameter, 0.20 m thick and
(30 pl
Duesti
2.5 kg in mass is rotating at 60 revolutions per minute.
a) What is the magnitude of the angular velocity of the motorcycle wheel,
00
in radians per second?
the
b) What is the magnitude of the velocity of the outermost
Note: Treat
motorcycle wheel (r = 62.5 cm), in m/s?
tod.
xis perpendicular
nts
c) What is the magnitude of the velocity of a point that is 30.0 cm from
b) Calcu!
the central axis of the motorcycle wheel, in m/s?
ing at
otational
velocity of 0.
Ais porp
aler to
the
ita conter (Le, so the normal
Iberti f
od
rough e) ll
h
o all of s k(points)
251
of
shat](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89e73a58-75a0-4c09-8c16-f2ecd1065cc1%2Ff4e3662e-05b6-4674-ba0d-4fc854c2c323%2F8yxet0q_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![Glencoe Physics: Principles and Problems, Student…](https://www.bartleby.com/isbn_cover_images/9780078807213/9780078807213_smallCoverImage.gif)
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![Glencoe Physics: Principles and Problems, Student…](https://www.bartleby.com/isbn_cover_images/9780078807213/9780078807213_smallCoverImage.gif)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
![An Introduction to Physical Science](https://www.bartleby.com/isbn_cover_images/9781305079137/9781305079137_smallCoverImage.gif)