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8. A flywheel has a mass of 100 kg and a radius of gyration kG =
100 mm about an axis of rotation passing through its mass center.
If a motor supplies a clockwise torque having a magnitude of M= 9 t
Nm, where t is in seconds, determine the flywheel’s angular
velocity in t = 5s. Initially the flywheel is rotating clockwise at
ω1 = 4 rad/s Answer #1

A 70.0-cm diameter flywheel is initially rotating clockwise at
100 rpm. It then undergoes a constant counterclockwise angular
acceleration of 2.50 radians per square second for 5.00
seconds.
a) What is the magnitude of the initial angular velocity in units
of radians per second?
b) What are the magnitude and direction of the final angular
velocity of the flywheel at the end of the 5.00 second interval in
units of rad/s?
c) What is the magnitude of the net angle...

7. A 500 kg car goes around turn in the road that has a radius
of curvature of 5 m. The car is traveling at a constant speed of 10
m/s.
(i) What is the centripetal force required to keep the car from
sliding out as it goes around the turn?
(ii) What must be the coefficient of friction between the tires
of the car and the road in order for the car to not sliding as it
goes around...

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...

question 25
A net torque of 7.2 Nm acts on a 3.9 kg disk turntable of radius
12.4 cm. This net torque causes the disk turntable to rotate about
its natural center axis of rotation. The magnitude of the angular
acceleration = _________rad/ s2. The moment of inertia
of the disk is given by 0.5MR2.

A small object with a mass of 1.62 kg is moving with a speed of
290 m/s (with respect to the ground) when it collides with a rod
with a mass of 11.99 kg and a length of L m. The rod is
initially at rest, in a vertical position, and pivots about an axis
going through its center of mass which is located exactly halfway
along the rod. The object imbeds itself in the rod at a distance
L/4...

A bicycle wheel has a mass of 2.0 kg and a radius of 60 cm. With
the wheel initially at rest, a torque of 0.36 N-m is then applied.
What is the angular speed of the tire after 5 seconds? The moment
of inertia of a wheel is mR2.
A. 0.5 rad/s
B. 1.0 rad/s
C. 1.5 rad/s
D. 2.5 rad/s
E. 5.0 rad/s

A uniform rod of mass 190 g and length 100 cm is free to rotate
in a horizontal plane around a fixed vertical axis through its
center, perpendicular to its length. Two small beads, each of mass
18 g, are mounted in grooves along the rod. Initially, the two
beads are held by catches on opposite sides of the rod's center, 18
cm from the axis of rotation. With the beads in this position, the
rod is rotating with an...

Point Pis on the rim of a large
Spinning Disk of mass 10.0 kg and radius 2.58 m.
At time t=0.00 s the disk has an angular velocity of 4.00 rad/s and
rotates counterclockwise about its center O, and
Pis on the x-axis. A net applied CW torque of 20.0
m-N causes the wheel to undergo a uniform angular acceleration. The
magnitude of the total acceleration (m/s2) at point
Pwhen t = 15.0 s is? The angular velocity of the...

A flat uniform circular disk (radius = 3.00 m, mass = 1.00 ✕ 102
kg) is initially stationary. The disk is free to rotate in the
horizontal plane about a frictionless axis perpendicular to the
center of the disk. A 50.0 kg person, standing 1.75 m from the
axis, begins to run on the disk in a circular path and has a
tangential speed of 2.60 m/s relative to the ground. Find the
resulting angular speed of the disk (in...

A solid cylinder has a mass of 100 kg and radius 0.225m. The
cylinder is attached to a frictionless horizontal axle. A long
(light weight) cable is wrapped around the cylinder. Attached to
the end of the cable is a 1.50 kg mass. The system is initially
stationary. The hanging mass is then released. The mass pulls on
the cable as it falls and this causes the cylinder to rotate.
a) What is the velocity of the hanging mass after...

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