Question

A
disk has a moment of inertia at 2.25 x 10 ^ -3 kg.m^2. A constant
torque of 7 N.m is applied to the disk for 1.75 seconds. If the
disk started from rest, then what is it’s angular momentum at the
end of the 1.75 seconds

Answer #1

A sanding disk with rotational inertia 8.6 x 10-3
kg·m2 is attached to an electric drill whose motor
delivers a torque of magnitude 15 N·m about the central axis of the
disk. About that axis and with torque applied for 86 ms, what is
the magnitude of the (a) angular momentum and
(b) angular velocity of the disk?

A turntable with a moment of inertia of
5.4 × 10−3 kg. m2 reaches a constant rotational speed of 45 rpm
from rest in 6.30
seconds.
a. Find the number of revolutions the turntable made during this
time.
b. Determine the rotational work done by the applied torque for
increasing the
angular speed from zero to 45 rpm.
c. While rotating at a constant rotational speed of 45 rpm, a mouse
of 32-g was kept
15 cm from the center....

A wheel stars at rest, has a radius of 0.1m and has a moment of
inertia I=10kg*m^2. A constant torque of 3 N*m is applied to the
wheel to cause counter-clockwise angular acceleration
1) what will the angular velocity of the wheel be when the
angular displacement is 20*pi radians?
2) what will the tangentail speed of a point on the outer edge
of the wheel be when the angular velocirt of the wheel is your
answer to part 2?...

A torque of 15Nm is applied to a heavy wheel whose moment of
inertia is 40 kgm2. What is the angular acceleration of the wheel?
If the wheel was initially at rest and the torque is applied for 15
s, what will be the rotational frequency ω of the wheel at the end
of the 15 s?

A uniform disk has a mass of 9 kg and a radius of 20 cm. It
completes 15 revolutions in 11 seconds when starting from rest. (12
points)
a. Find the angular acceleration of the disk.
b. Find the moment of inertia of the disk.
c. Find the net torque on the disk.

A gearbox has an input rotor with a moment of inertia of 3kg.m^2
and an output rotor with a moment of inertia of 24kg.m^2 and gives
a reduction of 4:1 with an efficiency of 80%. Determine the angular
acceleration of the input shaft when there is a torque of 100 Nm
applied to the shaft.

An ice skater with a moment of inertia of 0.390 kg*m2
is spinning at 6.00 rev/s
a. What is the angular velocity of the ice skater in rad/s?
b. What is the angular momentum of the ice skater at this
angular velocity
c. He reduces his rate of spin (angular velocity) by extending
his arms and increasing his moment of inertia. Find the value of
his moment of inertia if his angular velocity drops to 1.70
rev/s
d. Suppose instead...

Starting from rest, a 12-cm-diameter compact disk takes 3.2 s to
reach its operating angular velocity of 2500 rpm . Assume that the
angular acceleration is constant. The disk's moment of inertia is
2.5×10−5kgm2.
How much torque is applied to the disk?
How many revolutions does it make before reaching full
speed?

Two disks are rotating about the same axis. Disk A has a moment
of inertia of 3.1 kg · m2 and an angular velocity of
+8.0 rad/s. Disk B is rotating with an angular velocity of -9.3
rad/s. The two disks are then linked together without the aid of
any external torques, so that they rotate as a single unit with an
angular velocity of -2.2 rad/s. The axis of rotation for this unit
is the same as that for...

Two disks are rotating about the same axis. Disk A has a moment
of inertia of 3.7 kg · m2 and an angular velocity of +7.7 rad/s.
Disk B is rotating with an angular velocity of -10.4 rad/s. The two
disks are then linked together without the aid of any external
torques, so that they rotate as a single unit with an angular
velocity of -2.5 rad/s. The axis of rotation for this unit is the
same as that for...

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