A dielectric cylinder of permitivity ε rotates around
its axis with angular velocity ω. If it...
A dielectric cylinder of permitivity ε rotates around
its axis with angular velocity ω. If it is inside a uniform
magnetic field B parallel yo the cylinder's axis, find the
polarización charge in the cylinder
A circular disk rotates about its axis with angular velocity w.
The disk is made of metal with conductivity g and thickness t.The
rotating disk os pa;lced the pole faces of a magnet which produces
a uniform magnetic field B over a small square area of size
a2 at the average distance r from the axis where B is
perpendicular to the disk, Show that the approximate torque on the
disk is B2a2r2wgt/2.
When we say that the Earth ‘rotates’ on its axis, and ‘revolves’
around the Sun, what does that mean? In which direction does the
Earth revolve and rotate?
Starting from rest, a disk rotates about its central axis with
constant angular acceleration. In 4.00 s, it rotates 13.2 rad.
During that time, what are the magnitudes of (a) the angular
acceleration and (b) the average angular velocity? (c) What is the
instantaneous angular velocity of the disk at the end of the 4.00
s? (d) With the angular acceleration unchanged, through what
additional angle (rad) will the disk turn during the next 4.00
s?
a.) Calculate the angular velocity (in rad/s) of the Earth in
its orbit around the sun and that about its axis.
b.) Calculate the moment of inertia, the angular momentum, and
the rotational kinetic energies for both cases.
A helicopter has a rotor (radius R0) that rotates with
constant angular speed ω. The helicopter is accelerating vertically
with constant acceleration A0, starting from rest. Using
cylindrical coordinates
a) Write the position vector of the tip of the rotor as a function
of time.
b) Find the velocity vector of the rotor tip as a function of time
by taking the derivative of the previous result.
c) Find the acceleration vector of the rotor tip as a function of...
A wheel is rotating about an axis that is in the z-direction.
The angular velocity ωz is -6.00 rad/s at t = 0, increases linearly
with time, and is +4.00 rad/s at t = 19.0 s . We have taken
counterclockwise rotation to be positive.
How long is the time interval during which the speed of the
wheel is increasing?
A 90-turn square coil of side 20.0 cm rotates about a vertical
axis at ω = 1.65 103 rev/min as indicated in the figure below. The
horizontal component of Earth's magnetic field at the coil's
location is equal to 2.00 10-5 T.
(a) Calculate the maximum emf induced in the coil by this
field.
in mV
(b) What is the orientation of the coil with respect to the
magnetic field when the maximum emf occurs?
a.The plane of the coil...
Rod OA rotates counterclockwise with a constant angular velocity
of = 5 rad/s. The double collar B is pin connected together such
that one collar slides over the rotating rod and the other slides
over the horizontal curved rod, of which the shape is described by
the equation r = 1.5(2 - cos θ) ft. If both collars weigh 0.75 lb,
determine the normal force which the curved rod exerts on one
collar at the instant θ = 120o. Neglect...
An electric ceiling fan is rotating about a fixed axis with an
initial angular velocity magnitude of 0.300 rev/s . The magnitude
of the angular acceleration is 0.920 rev/s2 . Both the the angular
velocity and angular acceleration are directed counterclockwise.
The electric ceiling fan blades form a circle of diameter 0.740 m
.
Part A:
Compute the fan's angular velocity magnitude after time 0.191 ss
has passed.
Express your answer numerically in revolutions per second
(rev/s)
Part B:
Through...
An electric ceiling fan is rotating about a fixed axis with an
initial angular velocity magnitude of 0.280 rev/s . The magnitude
of the angular acceleration is 0.895 rev/s2 . Both the the angular
velocity and angular accleration are directed counterclockwise. The
electric ceiling fan blades form a circle of diameter 0.800 m .
A) compute the fan's angular velocity magnitude after time 0.202
s has passed.
B)Through how many revolutions has the blade turned in the time
interval 0.202...