Question

A flywheel turns through 34 rev as it slows from an angular speed of 5.1 rad/s to a stop. (a) Assuming a constant angular acceleration, find the time for it to come to rest. (b) What is its angular acceleration? (c) How much time is required for it to complete the first 17 of the 34 revolutions?

Answer #1

A
flywheel turns through 40 revs as it slows from an angular speed of
1.5 rad / s to a stop. (a) Assuming a constant angular
acceleration, find the time for it to come to rest. (b) What is its
angular acceleration? (c) How much time is required for it to
complete the first 20 of the 40 revolutions?

A flywheel slows from 655 to 400 rev/min while rotating through
20 revolutions.
What is the (constant) angular acceleration of the
flywheel?
α=α= rad/s2
How much time elapses during the 20 revolutions?
t=t= s
Calculate the rotational kinetic energy of a 13-kg motorcycle
wheel if its angular velocity is 141 rad/s and its inner radius is
0.280 m and outer radius 0.330 m.
KErot = J

A wheel rotates with a constant angular acceleration of 3.90
rad/s2. Assume the angular speed of the wheel is 2.05
rad/s at ti = 0.
(a) Through what angle does the wheel rotate between t
= 0 and t = 2.00 s? Give your answer in radians and
revolutions.
rad?
rev?
(b) What is the angular speed of the wheel at t = 2.00
s?
rad/s?
(c) What angular displacement (in revolutions) results while the
angular speed found in part...

A wheel rotates with a constant angular acceleration of 3.90
rad/s2. Assume the angular speed of the wheel is 1.55
rad/s at ti = 0.
(a) Through what angle does the wheel rotate between t
= 0 and t = 2.00 s? Give your answer in radians and
revolutions.
___________rad
___________ rev
(b) What is the angular speed of the wheel at t = 2.00
s?
__________rad/s
(c) What angular displacement (in revolutions) results while the
angular speed found in...

PRACTICE IT
A wheel rotates with a constant angular acceleration of 3.25
rad/s2. Assume the angular speed of the wheel is 2.20
rad/s at ti = 0.
(a) Through what angle does the wheel rotate between t
= 0 and t = 2.00 s? Give your answer in radians and
revolutions.
___________ rad
___________ rev
(b) What is the angular speed of the wheel at t = 2.00
s?
___________rad/s
(c) What angular displacement (in revolutions) results while the
angular...

A compact disc rotates from rest up to an angular speed of 31.6
rad/s in a time of 0.913 s.
(a) What is the angular acceleration of the disc, assuming the
angular acceleration is uniform?
______________ rad/s2
(b) Through what angle does the disc turn while coming up to
speed?
rad
(c) If the radius of the disc is 4.45 cm, find the tangential
speed of a microbe riding on the rim of the disc.
____________ m/s
(d) What is...

A disk rotates about its central axis starting from rest and
accelerates with constant angular acceleration. At one time it is
rotating at 11.0 rev/s; 35.0 revolutions later, its angular speed
is 21.0 rev/s. Calculate (a) the angular
acceleration (rev/s2), (b) the time
required to complete the 35.0 revolutions, (c) the
time required to reach the 11.0 rev/s angular speed, and
(d) the number of revolutions from rest until the
time the disk reaches the 11.0 rev/s angular speed.

When a fan is turned off, its angular speed decreases from 27
rad/s to 4.0 rad/s in 1.7 revolutions. Assuming it is constant,
what is the angular acceleration of the fan?
-210 rad/s2
-1.1 rad/s2
-9.8 rad/s2
-33 rad/s2

A turntable rotating at 60 rev/min is brought to rest in 15.7
s.
a) What is the average angular acceleration of the turntable
as it comes to rest?
b) Assuming that the angular acceleration is constant, find
the number of turns revolutions the turntable makes during this
time.

Starting from rest, a fan accelerates with constant angular
acceleration. At one time it is rotating at 10 rev/s; 20
revolutions later, its angular speed is 150 rev/s.
(a) The angular acceleration.
(b) The time required by the fan to complete the 20
revelations.
(c) The number of revolutions from rest until the fan reaches
the 10 rev/s angular speed.

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