Learning Goal: To understand how to use conservation of angular momentum to solve problems involving collisions of rotating bodies. (Figure 1) Consider a turntable to be a circular disk of moment of inertia 0.151 kg-m² rotating at a constant angular velocity 4.25 rad/s² around an axis through the center and perpendicular to the plane of the disk (the disk's "primary axis of symmetry"). The axis of the disk is vertical and the disk is supported by frictionless bearings. The motor of the turntable is off, so there is no external torque being applied to the axis. Another disk (a record) is dropped onto the first such that it lands coaxially (the axes coincide). The moment of inertia of the record is 6.20x10-2 kg-m². The initial angular velocity of the second disk is zero. There is friction between the two disks. After this "rotational collision," the disks will eventually rotate with the same angular velocity. Figure <1 of 1 > ▼ Part A What is the final angular velocity, wy, of the two disks? View Available Hint(s) ΠΫΠΙ ΑΣΦ Wy == Submit Part B K₁ = Submit C IVE ΑΣΦ 9 Because of friction, rotational kinetic energy is not conserved while the disks' surfaces slip over each other. What is the final rotational kinetic energy, K, of the two spinning disks? View Available Hint(s) ? a C rad/s² ? Review I Constants J
Learning Goal: To understand how to use conservation of angular momentum to solve problems involving collisions of rotating bodies. (Figure 1) Consider a turntable to be a circular disk of moment of inertia 0.151 kg-m² rotating at a constant angular velocity 4.25 rad/s² around an axis through the center and perpendicular to the plane of the disk (the disk's "primary axis of symmetry"). The axis of the disk is vertical and the disk is supported by frictionless bearings. The motor of the turntable is off, so there is no external torque being applied to the axis. Another disk (a record) is dropped onto the first such that it lands coaxially (the axes coincide). The moment of inertia of the record is 6.20x10-2 kg-m². The initial angular velocity of the second disk is zero. There is friction between the two disks. After this "rotational collision," the disks will eventually rotate with the same angular velocity. Figure <1 of 1 > ▼ Part A What is the final angular velocity, wy, of the two disks? View Available Hint(s) ΠΫΠΙ ΑΣΦ Wy == Submit Part B K₁ = Submit C IVE ΑΣΦ 9 Because of friction, rotational kinetic energy is not conserved while the disks' surfaces slip over each other. What is the final rotational kinetic energy, K, of the two spinning disks? View Available Hint(s) ? a C rad/s² ? Review I Constants J
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Chapter1: Units, Trigonometry. And Vectors
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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
![CNW 12-Angular Momentum and Static Equilibrium
Item 5
Learning Goal:
To understand how to use conservation of angular momentum to
solve problems involving collisions of rotating bodies.
(Figure 1) Consider a turntable to be a circular disk of moment of
inertia 0.151 kg - m² rotating at a constant angular velocity 4.25
rad/s² around an axis through the center and perpendicular to
the plane of the disk (the disk's "primary axis of symmetry"). The
axis of the disk is vertical and the disk is supported by frictionless
bearings. The motor of the turntable is off, so there is no external
torque being applied to the axis.
Another disk (a record) is dropped onto the first such that it lands
coaxially (the axes coincide). The moment of inertia of the record
is 6.20x10-2 kg-m². The initial angular velocity of the second
disk is zero.
There is friction between the two disks.
After this "rotational collision," the disks will eventually rotate with
the same angular velocity.
Figure
**
<1 of 1
E
D
P
$
4
7
R
F
Part A
What is the final angular velocity, wę, of the two disks?
►View Available Hint(s)
195] ΑΣΦ
WE =
Submit
Part B
K₁ =
Submit
5
G| ΑΣΦ
T
Because of friction, rotational kinetic energy is not conserved while the disks' surfaces slip over each other. What is the final rotational kinetic energy, Kę, of
the two spinning disks?
► View Available Hint(s)
G
6
@ C
3
www.
7
?
?
rad/s²
J
*
8
9
< 5 of 10 >
O
Review I Constants](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb2133c9-e1e5-4d56-9c72-044227328930%2F42839c37-13bd-4451-b3f3-dbd90de68a54%2F9r0l75b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:CNW 12-Angular Momentum and Static Equilibrium
Item 5
Learning Goal:
To understand how to use conservation of angular momentum to
solve problems involving collisions of rotating bodies.
(Figure 1) Consider a turntable to be a circular disk of moment of
inertia 0.151 kg - m² rotating at a constant angular velocity 4.25
rad/s² around an axis through the center and perpendicular to
the plane of the disk (the disk's "primary axis of symmetry"). The
axis of the disk is vertical and the disk is supported by frictionless
bearings. The motor of the turntable is off, so there is no external
torque being applied to the axis.
Another disk (a record) is dropped onto the first such that it lands
coaxially (the axes coincide). The moment of inertia of the record
is 6.20x10-2 kg-m². The initial angular velocity of the second
disk is zero.
There is friction between the two disks.
After this "rotational collision," the disks will eventually rotate with
the same angular velocity.
Figure
**
<1 of 1
E
D
P
$
4
7
R
F
Part A
What is the final angular velocity, wę, of the two disks?
►View Available Hint(s)
195] ΑΣΦ
WE =
Submit
Part B
K₁ =
Submit
5
G| ΑΣΦ
T
Because of friction, rotational kinetic energy is not conserved while the disks' surfaces slip over each other. What is the final rotational kinetic energy, Kę, of
the two spinning disks?
► View Available Hint(s)
G
6
@ C
3
www.
7
?
?
rad/s²
J
*
8
9
< 5 of 10 >
O
Review I Constants
Transcribed Image Text:▼
Kf =
Submit
Part C
Submit
ΑΣΦ
15. ΑΣΦ
Provide Feedback
t
Assume that the turntable deccelerated during time 20.3 s before reaching the final angular velocity (20.3 s is the time interval between the moment when the
top disk is dropped and the time that the disks begin to spin at the same angular velocity). What was the average torque, (T), acting on the bottom disk due to
friction with the record?
► View Available Hint(s)
7
2.
wwwww.
?
J
?
N-m
A
FO
SHUHHUH
(
8
9
F10
Next >
F12
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