Question

A student sits on a rotating chair holding two 6.0kg masses.
When his arms are extended horizontally, the masses are 1.0 m from
the axis of rotation, and he rotates with an angular speed of 0.75
rad/s. The moment of inertia of the students plus stool is 6.0 kg
m^{2} and is assumed to be constant. The student pulls the
masses horizontally to a 0.30m from the axis of rotation.

(a) Find the new angular speed of the student.

(b) Find the kinetic energy of the student before and after he pulls the weights inward.

Answer #1

A student sits on a rotating stool holding two 2.7-kg objects.
When his arms are extended horizontally, the objects are 1.0 m from
the axis of rotation and he rotates with an angular speed of 0.75
rad/s. The moment of inertia of the student plus stool is
3.0 kg · m2
and is assumed to be constant. The student then pulls in the
objects horizontally to 0.43 m from the rotation axis.
(a) Find the new angular speed of the...

A student sits on a rotating stool holding two 2.8-kg objects.
When his arms are extended horizontally, the objects are 1.0 m from
the axis of rotation and he rotates with an angular speed of 0.75
rad/s. The moment of inertia of the student plus stool is
3.0 kg · m2
and is assumed to be constant. The student then pulls in the
objects horizontally to 0.50 m from the rotation axis.
(a) Find the new angular speed of the...

A student sits on a rotating stool holding two 4.0 kg objects.
When his arms are extended horizontally, the objects are 1.0 m from
the axis of rotation, and he rotates with an angular speed of 0.75
rad/s. The moment of inertia of the student plus stool is 3.0
kg·m2 and is assumed to be constant. The student then
pulls the objects horizontally to 0.20 m from the rotation
axis.
(a) Find the new angular speed of the student.
rad/s...

A student sits on a freely rotating stool holding two dumbbells,
each of mass 2.98 kg. When his arms are extended horizontally, the
dumbbells are 0.94 m from the axis of rotation and the student
rotates with an angular speed of 0.752 rad/s. The moment of inertia
of the student plus stool is 2.79 kg · m2 and is assumed to be
constant. The student pulls the dumbbells inward horizontally to a
position 0.308 m from the rotation axis.
(a)...

A student sits on a freely rotating stool holding two weights,
each of mass 2.93 kg. When his arms are extended horizontally, the
weights are 1.10 m from the axis of rotation and he rotates with an
angular speed of 0.754 rad/s. The moment of inertia of the student
plus stool is 2.93 kg·m2 and is assumed to be constant.
The student pulls the weights inward horizontally to a position
0.296 m from the rotation axis.
(a) Find the new...

A student sits on a rotating stool holding two 6.0 kg k g
objects. When his arms are extended horizontally, the objects are
1.3 m m from the axis of rotation and he rotates with an angular
speed of 2.7 rad/s r a d / s . The moment of inertia of the student
plus stool is 3.3 kg⋅m2 k g ⋅ m 2 and is assumed to be constant.If
the student pulls in the two objects horizontally to...

A student sits on a freely rotating stool holding two dumbbells,
each of mass 2.91 kg (see figure below). When his arms are extended
horizontally (Figure a), the dumbbells are 1.03 m from the axis of
rotation and the student rotates with an angular speed of 0.758
rad/s. The moment of inertia of the student plus stool is 2.61 kg ·
m2 and is assumed to be constant. The student pulls the
dumbbells inward horizontally to a position 0.297 m...

A student on a piano stool rotates freely with an angular speed
of 2.92 rev/s. The student holds a 1.50-kg mass in each
outstretched arm, 0.752 m from the axis of rotation. The combined
moment of inertia of the student and the stool, ignoring the two
masses, is 5.48 kg*m^2, a value that remains constant. As the
student pulls his arms inward, his angular speed increases to 3.41
rev/s.
A) How far are the masses from the axis of rotation...

A person stands at the center of a turntable, holding his arms
extended horizontally with a 1.5 kg dumbbell in each hand. He is
set rotation about a vertical axis, making one revolution in 2
seconds. Find the new angular velocity if he pulls the dumbbells in
to his middle. His moment of inertia (without dumbbells) is 3 kgm2
when his arms are out stretched, dropping to 2.2 kgm2 when his
hands are at his middle. The dumbbells are 1...

A student sits in a chair that can spin without friction. The
student has her hands outstretched and starts rotating at 1.7
rev/s. Her initial rotational inertia about the central axis is
13.00 kg m2. She pulls her hands inward and decreases her
rotational inertial to 7.60 kg m2. What is her resulting angular
speed after she pulls her hands inward?(rad/s) (in rad/s)
What is the ratio of the new kinetic energy of the system to the
original kinetic energy? ...

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