Question

A wheel with radius 0.0600 m rotates about a horizontal frictionless axle at its center. The moment of inertia of the wheel about the axle is 2.50 kg⋅m2. The wheel is initially at rest. Then at t=0 a force F(t)=(5.50N/s)t is applied tangentially to the wheel and the wheel starts to rotate.

What is the magnitude of the force at the instant when the wheel has turned through 8.00 revolutions?

Answer #1

A large grinding wheel in the shape of a solid cylinder of
radius 0.330 m is free to rotate on a frictionless, vertical axle.
A constant tangential force of 260 N applied to its edge causes the
wheel to have an angular acceleration of 0.836
rad/s2.
(a) What is the moment of inertia of the wheel?
kg · m2

A large horizontal circular platform (M=91 kg, r=3.99 m) rotates
about a frictionless vertical axle. A student (m=77.93 kg) walks
slowly from the rim of the platform toward the center. The angular
velocity ω of the system is 3.8 rad/s when the student is at the
rim.
Find the moment of inertia of platform through the center with
respect to the z-axis.
Find the moment of inertia of the student about the center axis
(while standing at the rim) of...

A large horizontal circular platform (M=105.1 kg, r=3.54 m)
rotates about a frictionless vertical axle. A student (m=54.08 kg)
walks slowly from the rim of the platform toward the center. The
angular velocity ω of the system is 2.24 rad/s when the student is
at the rim.
Find the moment of inertia of platform through the center with
respect to the z-axis.
Find the moment of inertia of the student about the center axis
(while standing at the rim) of...

A large horizontal circular platform (M=97.3 kg, r=4.71 m)
rotates about a frictionless vertical axle. A student (m=78.94 kg)
walks slowly from the rim of the platform toward the center. The
angular velocity ω of the system is 2.56 rad/s when the student is
at the rim.
A. Find the moment of inertia of platform through the center
with respect to the z-axis. answer = 1079.26 kg*m^2
B. Find the moment of inertia of the student about the center
axis...

A pulley, with a rotational inertia of 1.7 ✕ 10−3 kg · m2 about
its axle and a radius of 11 cm, is acted on by a force applied
tangentially at its rim. The force magnitude varies in time as
F = 0.50t + 0.30t2, where F is
in newtons and t in seconds. The pulley is initially at
rest.
At t = 4.0 s what is its angular velocity (in
rad/s)?
Sample submission: 456

A torque of 35.0 N · m is applied to an initially motionless
wheel which rotates around a fixed axis. This torque is the result
of a directed force combined with a friction force. As a result of
the applied torque the angular speed of the wheel increases from 0
to 10.5 rad/s. After 6.10 s the directed force is removed, and the
wheel comes to rest 60.2 s later.
(a)What is the wheel's moment of inertia (in kg ·...

A horizontal platform in the shape of a circular disk rotates on
a frictionless bearing about a vertical axle through the center of
the disk. The platform has a radius of 1.80 m and a rotational
inertia of 347 kg·m2 about the axis of rotation. A 58.4
kg student walks slowly from the rim of the platform toward the
center. If the angular speed of the system is 1.49 rad/s when the
student starts at the rim, what is the...

A horizontal platform in the shape of a circular disk rotates on
a frictionless bearing about a vertical axle through the center of
the disk. The platform has a mass of 127.0 kg, a radius of 2.00 m,
and a rotational inertia of 5.08×102 kgm2 about the axis of
rotation. A student of mass 66.0 kg walks slowly from the rim of
the platform toward the center. If the angular speed of the system
is 1.31 rad/s when the student...

A uniform disk with mass 37.0 kg and radius 0.240 m is pivoted
at its center about a horizontal, frictionless axle that is
stationary. The disk is initially at rest, and then a constant
force 26.5 N is applied tangent to the rim of the disk.
a) What is the magnitude v of the tangential velocity of a point
on the rim of the disk after the disk has turned through 0.170
revolution?
b) What is the magnitude a of...

A uniform disk with mass 35.4 kg and radius 0.230 m is pivoted
at its center about a horizontal, frictionless axle that is
stationary. The disk is initially at rest, and then a constant
force 35.0 N is applied tangent to the rim of the disk.
What is the magnitude v of the tangential velocity of a point on
the rim of the disk after the disk has turned through 0.220
revolution?
What is the magnitude a of the resultant...

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