Question

A disk having a radius of (168 mm ) rotates about a fixed axis with an angular velocity of ω = (2t + 3) rad/s, where t is in seconds. Determine the tangential and normal components of acceleration of a point located on the rim of the disk at the instant the angular displacement is θ = 74 radian

Answer #1

A cylinder rotating about its axis with a constant angular
acceleration of 1.6 rad/s^2 starts from rest at t=0. At the instant
when it has turned through 0.40 radian, find the magnitude of the
tangential velocity at point on the rim (radius=0.15 m)?

A disk with mass m = 9.5 kg and radius R = 0.3 m begins at rest
and accelerates uniformly for t = 18 s, to a final angular speed of
ω = 28 rad/s.
A)What is the angular acceleration of the disk?
B)What is the angular displacement over the 18 s?
C)What is the moment of inertia of the disk?
D)What is the change in rotational energy of the disk?
E)What is the tangential component of the acceleration of...

Starting from rest, a disk rotates about its central axis with
constant angular acceleration. In 2.00 s, it rotates 44.3 rad.
During that time, what are the magnitudes of (a) the angular
acceleration and (b) the average angular velocity? (c) What is the
instantaneous angular velocity of the disk at the end of the 2.00
s? (d) With the angular acceleration unchanged, through what
additional angle (rad) will the disk turn during the next 2.00
s?

A 44.0-cm diameter disk rotates with a constant angular
acceleration of 3.00 rad/s2. It starts from rest at
t = 0, and a line drawn from the center of the disk to a
point P on the rim of the disk makes an angle of 57.3°
with the positive x-axis at this time.
(a) At t = 2.48 s, find the angular speed of the
wheel.
rad/s
(b) At t = 2.48 s, find the magnitude of the linear
velocity...

Chapter 10 Problem 010: Starting from rest, a disk rotates about
its central axis with constant angular acceleration. In 7.00 s, it
rotates 18.1 rad. During that time, what are the magnitudes of
(a) the angular acceleration and
(b) the average angular velocity?
(c) What is the instantaneous angular velocity of
the disk at the end of the 7.00 s? (d) With the
angular acceleration unchanged, through what additional angle (rad)
will the disk turn during the next 7.00 s?

Chapter 10, Problem 010
Starting from rest, a disk rotates about its central axis with
constant angular acceleration. In 6.00 s, it rotates 39.3 rad.
During that time, what are the magnitudes of (a)
the angular acceleration and (b) the average
angular velocity? (c) What is the instantaneous
angular velocity of the disk at the end of the 6.00 s?
(d) With the angular acceleration unchanged,
through what additional angle (rad) will the disk turn during the
next 6.00 s?

a) At a certain instant, a rotating turbine wheel of radius R
has angular speed ω (measured in rad/s). What must be the magnitude
α of its angular acceleration (measured in rad/s2) at this instant
if the acceleration vector a⃗ of a point on the rim of the wheel
makes an angle of exactly 30∘ with the velocity vector v⃗ of that
point? Express your answer in terms of some or all of the variables
R and ω.
b) At...

A uniform disk with radius 0.440 m and mass 32.0 kg rotates in a
horizontal plane on a frictionless vertical axle that passes
through the center of the disk. The angle through which the disk
has turned varies with time according to θ(t)=( 1.00 rad/s
)t+( 8.10 rad/s2 )t2 .
What is the resultant linear acceleration of a point on the rim
of the disk at the instant when the disk has turned through 0.300
rev ?
Express your answer...

A uniform disk of radius 0.529 m and unknown mass is constrained
to rotate about a perpendicular axis through its center. A ring
with same mass as the disk\'s is attached around the disk\'s rim. A
tangential force of 0.223 N applied at the rim causes an angular
acceleration of 0.103 rad/s2. Find the mass of the disk.

A disk with mass m = 10.3 kg and radius R = 0.34 m begins at
rest and accelerates uniformly for t = 16.8 s, to a final angular
speed of ω = 26 rad/s.
1)
What is the angular acceleration of the disk?
rad/s2
2)
What is the angular displacement over the 16.8 s?
rad
3)
What is the moment of inertia of the disk?
kg-m2
4)
What is the change in rotational energy of the disk?
J
5)...

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