Question

1. A wheel starts from rest and has an angular acceleration of
6.00 rad/s^{2} . When it has made 3.00 rev its angular
velocity in rad/s is:

2. A circular disk of radius 1.00 m rotates, starting from rest, with a constant angular acceleration. What is the centripetal acceleration of a point on the edge of the disk at the instant that its angular speed is 2.50 rev/s?

Answer #1

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...

A wheel rotates with a constant angular acceleration of 3.00
rad/s2. If the angular speed of the wheel is 2.50 rad/s at t = 0,
how many revolutions has the wheel gone through after 2.90 s?

A wheel released from rest is rotating with constant angular
acceleration of 2.5 rad/s2.
(a) After 2.5 s, what is its angular velocity?
rad/s
(b) Through what angle has the wheel turned?
rad
(c) How many revolutions has it made?
rev
(d) What is the speed of a point 1.0 m from the axis of
rotation?
m/s
What is the magnitude of the total acceleration of the same
point?
m/s2

A wheel starts spinning from rest at a constant angular
acceleration of .04 rad/s2. Find the time needed for the
angle between the velocity vector and the net acceleration on any
point on the wheel to be 76°.

A wheel beginning at 25 rpm
rotates with an angular acceleration of 4.2 rad/s2.
After 5.0 seconds, it slows to rest over a time of 20 seconds
a)What is the average angular
velocity of the wheel
b)What is the average speed of a
point on the outside edge of the wheel if the radius of the wheel
is 0.34 m?

A wheel starts from rest and rotates about its axis with
constant angular acceleration. After 5.7 s have elapsed, it has
rotated through an angle of 20 radians. What is the angular
acceleration of the wheel? What is the angular velocity when the
time t = 5.7 s? What is the centripetal acceleration of a point on
the wheel a distance r = 0.35 m from the axis at t = 5.7 s?

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 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 Ferris wheel rotates at an angular velocity of 2.3 rev/min.
Starting from rest, it reaches its operating speed with an average
angular acceleration of 0.030 rad/s2.
How long does it take the wheel to come up to operating
speed?
Through what angle (angular displacement) it rotates during
this time?

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...

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