Question

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 this same instant, what is the angle between a⃗ and v⃗ for a point on the wheel halfway between the axis of rotation and the rim?

c) A flywheel with radius of 0.200 m starts from rest and accelerates with a constant angular acceleration of 0.400 rad/s^2, tangential acceleration is 8.00 x 10^-2 m/s^2. What is the magnitude of radial acceleration and the resultant acceleration after 2 seconds?

Answer #1

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A
flywheel with a radius of .340 m starts from rest and accelerates
with a constant angular acceleration of .730 rad/ s2.
A) compute the magnitude of the tangential acceleration, the
radial acceleration, and the resultant acceleration of a point on
its rim at the start.
B) compute the magnitude of the tangential acceleration, the
radial acceleration, and the resultant acceleration of a point on
its rim after it has turned through 60.0.
C) compute the magnitude of the tangential...

At t = 2.55 s a point on the rim of a 0.230-m-radius
wheel has a tangential speed of 53.5 m/s as the wheel slows down
with a tangential acceleration of constant magnitude 12.0
m/s2.
(a) Calculate the wheel's constant angular acceleration.
[-52 rad/s2]
(b) Calculate the angular velocities at t = 2.55 s and
t = 0.
ω2.55 s
= [ ] rad/s
ω0
= [ ] rad/s
(c) Through what angle did the wheel turn between t =...

A flywheel with a radius of 0.360 mm starts from rest and
accelerates with a constant angular acceleration of 0.610
rad/s2
Part A
Compute the magnitude of the tangential acceleration, the radial
acceleration, and the resultant acceleration of a point on its rim
at the start.
Enter your answers separated with commas.
Part B
Compute the magnitude of the tangential acceleration, the radial
acceleration, and the resultant acceleration of a point on its rim
after it has turned through 60.0...

At a time t = 3.10 s , a point on the rim of a wheel
with a radius of 0.210 m has a tangential speed of 51.0 m/s as the
wheel slows down with a tangential acceleration of constant
magnitude 10.6 m/s2 .
Calculate the wheel's constant angular
acceleration. rad/s^2
Calculate the angular velocity at t = 3.10 s. rad/s
Calculate the angular velocity at t=0. rad/s
Through what angle did the wheel turn between t=0 and
t = 3.10...

A flywheel with a radius of 0.200 m starts from rest and
accelerates with a constant angular acceleration of 0.400 rad/s2
.
Compute the magnitude of the radial acceleration of a point on
its rim after it has turned through 60.0 ?.
Compute the magnitude of the tangential acceleration of a point
on its rim after it has turned through 120.0 ?.
Compute the magnitude of the radial acceleration of a point on
its rim after it has turned through...

A flywheel with a radius of 0.200 m starts from rest and
accelerates with a constant angular acceleration of 0.400 rad/s2
.
a)Compute the magnitude of the tangential acceleration of a
point on its rim at the start.
b)Compute the magnitude of the radial acceleration of a point on
its rim at the start.
--------------------
c) Compute the magnitude of the tangential acceleration of a
point on its rim after it has turned through 60.0 ∘.
d)Compute the magnitude of...

A wheel 1.50 m in diameter lies in a vertical plane and rotates
about its central axis with a constant angular acceleration of 3.95
rad/s2. The wheel starts at rest at t = 0, and
the radius vector of a certain point P on the rim makes an
angle of 57.3° with the horizontal at this time. At t =
2.00 s, find the following.
(a) the angular speed of the wheel
rad/s
(b) the tangential speed of the point...

A flywheel with a radius of 0.500 m starts from rest and
accelerates with a constant angular acceleration of 0.700 rad/s2
.
1.Compute the magnitude of the tangential acceleration of a
point on its rim at the start.
2.Compute the magnitude of the radial acceleration of a point on
its rim at the start.
3.Compute the magnitude of the tangential acceleration of a
point on its rim after it has turned through 60.0 ?.
4.Compute the magnitude of the radial...

At a time t = 2.90 s , a point on the rim of a wheel
with a radius of 0.180 m has a tangential speed of 55.0 m/s as the
wheel slows down with a tangential acceleration of constant
magnitude 10.8 m/s^2 .
A) Calculate the wheel's constant angular acceleration.
B) Calculate the angular velocity at t = 2.90 s .
C) Calculate the angular velocity at t=0.
D) Through what angle did the wheel turn between t=0
and...

A wheel 1.65 m in diameter lies in a vertical plane and rotates
about its central axis with a constant angular acceleration of 4.35
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the radius vector of a certain point P on the rim makes an
angle of 57.3° with the horizontal at this time. At t =
2.00 s, find the following.
(a) the angular speed of the wheel
(b) the tangential speed of the point P...

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