Question

A wheel rotates with a constant angular acceleration of 3.90
rad/s^{2}. Assume the angular speed of the wheel is 1.55
rad/s at *t _{i}* = 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 (b) doubles?

rev

*(Use the worked example above to help you solve this
problem.)*

(a) Find the angle through which the wheel rotates between
*t* = 2.00 s and *t* = 3.70 s.

___________ rad

(b) Find the angular speed when *t* = 3.70 s.

_____________rad/s

(c) What is the magnitude of the angular speed five revolutions
following *t* = 3.70 s?

____________rad/s

Answer #1

For later parts, in the similar manner, please find angular displacement taking time = 3.70 s (as in part a)

Then subtract the obtained value from angular displacement obtained for 2.00 s

for (b) again, use exact same equation, just put t = 3.70 s

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...

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 3.00
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 merry-go-round rotates from rest with an angular acceleration
of 2.00 rad/s2. How long does it take to rotate through
(a) the first 4.00 rev. (b) At the 4.00 rev angle the acceleration
immediately changes to 1.5 rad/s2 , how long does it
take to rotate the next 4.00 rev?

At time t=0 a grinding wheel has an angular velocity of 28.0
rad/s . It has a constant angular acceleration of 28.0 rad/s2 until
a circuit breaker trips at time t = 2.00 s . From then on, the
wheel turns through an angle of 440 rad as it coasts to a stop at
constant angular deceleration. A-Through what total angle did the
wheel turn between t=0 and the time it stopped? Express your answer
in radians. B-At what time...

A machine part rotates at an angular speed of 0.056 rad/s; its
speed is then increased to 1.5 rad/s at an angular acceleration of
0.80 rad/s2.
(a) Find the angle through which the part rotates before
reaching this final speed.
rad
(b) If both the initial and final angular speeds are doubled and
the angular acceleration remains the same, by what factor is the
angular displacement changed?
by a factor of 2
by a factor of 4
by a factor...

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 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 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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 15 minutes ago

asked 40 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago