Question

A flywheel within large water pump is a solid disk with mass 21 kg and a radius of 0.45 m. Starting from rest it begins to rotate with a constant acceleration of 2.4 rad/sec2 for 5.1 sec after which it rotates at a constant rate.

1) What is the moment of interia of the flywheel?

2) After 5.1 seconds, what is it's angular speed?

3) Though what angle has it rotated in those 5.1 seconds?

4) How many revolutions has it completed in thoe 5.1 seconds?

5) What is the magnitude of the linear velocity of a piece of metal on the very outer edge of the flywheel 4.1 seconds after it started to rotate?

6) What is the magnitude of the total linear acceleration of a piece of metal on the very outer edge of the flywheel 4.1 seconds after it started to rotate?

Answer #1

1) I = mr^2 /2 = 21 x 0.45^2 /2 = 2.13 kg m^2

2) wf = wi + alpha*t

wf = 0 + 2.4x5.1 =12.24 rad/s

3) wf^2 - wi^2 = 2 x alpha x theta

12.24^2 - 0 =2 x 2.4 x theta

theta =31.21 rad

4) revolutions = 31.21/2pi = 4.97 revolutions

5) wf = 0 + 2.4x4.1 = 9.84 rad/s

and linear velocity v = w *r

v = 9.84 x 0.45 = 4.43 m/s

6) tangential acc. a_t = alpha*r = 2.4 x 0.45 = 1.08 m/s^2

radial acc a_c = w^2 r = 9.84^2 x 0.45 = 43.57 m/s^2

total acc. = sqrt(a_C^2 + a_t^2) = 43.57 m/s^2

A flywheel within large water pump is a solid disk with mass
23.5 kg and a radius of 0.36 m. Starting from rest it begins to
rotate with a constant acceleration of 2.5 rad/sec2 for 5.9 sec
after which it rotates at a constant rate. 1) What is the moment of
interia of the flywheel? kg-m2 Submit 2) After 5.9 seconds, what is
it's angular speed? rad/sec Submit 3) Though what angle has it
rotated in those 5.9 seconds? rad...

3.
A flywheel comprises a uniform circular disk with a mass of 112.0
kg and a radius of 1.3 m. It rotates with an angular velocity of
1213 rev/min. A constant tangential force is applied at a radial
distance of 0.8 m. What is the initial kinetic energy of the
wheel?
4.
If the wheel is brought to rest in 111.0 s, what is the tangential
force?
5.
How many revolutions does the flywheel make while it is stopping in...

A uniform grindstone wheel, in the shape of a solid disk, has
mass 9.00kg and radius 10.0cm.
a) Calculate the rotational kinetic energy of the grindstone as
it turns at 30.0revs/second.
Immediately after the motor for the grindstone is turned off, a
knife blade is pressed against the outer edge of the grindstone.
The knife blade is pressed perpendicular to the grindstone with a
force of 10.0N. The coefficient of friction between the blade and
stone is 0.800.
b) Determine...

A solid uniform disk of mass M = 9.6 kg and radius R = 21 cm
rests with its flat surface on a frictionless table (i.e., the axis
of the cylinder is perpendicular to the table.) The diagram shows a
top view. A string is wrapped around the rim of the disk and a
constant force of F = 10.8 N is applied to the string. The string
does not slip on the rim.
1)
What is the acceleration of...

A
.13 kg disk is rotating at an angular speed of 57 rad/s. The disk
has a radius of .25m. The disk speeds up for 3 s. After the 3 s
have passed, the edge of the disk is under a centripetal forxe of
313.13 N. What is the centripetal acceleration of the disk at this
time?
What is the final angular velocity of the disk after the 3
s?
What is the angular acceleration during the 3 s interval...

A point mass of 0.36 kg is set to rotate about a fixed axis 0.69
m away. The mass is initially at rest and undergoes a constant
angular acceleration of 9.3 rad/s^22. What is the magnitude of the
total acceleration after 0.34 revolutions?
Show work

A very thin 2.0-kg disk with a diameter of 80 cm is mounted
horizontally to rotate freely about a central vertical axis. On the
edge of the disk, sticking out a little, is a small, essentially
massless, tab or "catcher." A 2.0-g wad of clay is fired at a speed
of 14.0 m/s directly at the tab perpendicular to it and tangent to
the disk. The clay sticks to the tab, which is initially at rest,
at a distance of...

A playground ride consists of a disk of mass M = 59 kg
and radius R = 1.9 m mounted on a low-friction axle. A
child of mass m = 18 kg runs at speed v = 2.2 m/s
on a line tangential to the disk and jumps onto the outer edge of
the disk.
(b) Relative to the axle, what was the magnitude of the angular
momentum of the child before the collision?
L|C| =
(c) Relative to the...

A playground merry-go-round is a large disk of mass 10.0 kg and
radius 2.00 m. The merry-go-round is initially at rest. A physics
teacher pushes on the rim for 24.0 s to accelerate it with constant
angular acceleration until the merry-go-round has completed a total
of 9.00 full revolutions.
a. What is the final angular velocity after 24.0 s?
b. How much total work did the teacher do on the merry-go-round?
(You may assume the axle for the merry-go-round is...

A child pushes her friend (m = 25 kg) located at a radius r =
1.5 m on a merry-go-round (rmgr = 2.0 m, Imgr
= 1000 kg*m2) with a constant force F = 90 N applied
tangentially to the edge of the merry-go-round (i.e., the force is
perpendicular to the radius). The merry-go-round resists spinning
with a frictional force of f = 10 N acting at a radius of
1 m and a frictional torque τ = 15 N*m...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 33 seconds ago

asked 15 minutes ago

asked 17 minutes ago

asked 36 minutes ago

asked 48 minutes ago

asked 1 hour 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