Question

A traveling wave has an angular frequency of 4.5 rad/s and a wavelength of 4m. The maximum acceleration of a point on the wave is 3.5 m/s2. a) What is the speed of the wave? b) Write the fitted equation for y(x, t). Find the velocity of a point on the wave located at x = 6.5 m at t = 3.75 s. What is the period of the wave oscillations? What is the maximum speed of a point on the wave?

Answer #1

A traveling wave on a string oscillates with an amplitude of
0.080m and a frequency of 2.5Hz. The speed of the waves on the
string is 10 m/s. At t=0, the end from which the oscillations
originate has a vertical displacement of 0m.
a) Find the angular frequency, period, wavelength, and wave
number.
b) Write a wave function describing the wave.
c) The linear mass density μ of the string is 0.300kg/m, and
tension in the spring is maintained at...

At t = 0, a flywheel has an angular velocity of 3.5
rad/s, an angular acceleration of -0.48 rad/s2, and a
reference line at ?0 = 0. (a) Through
what maximum angle ?max will the reference line turn in
the positive direction? What are the (b) first and
(c) second times the reference line will be at ? =
?max/7? At what (d) negative time and
(e)positive time will the reference line be at ? =
-11 rad?

A 44.0-cm diameter disk rotates with a constant angular
acceleration of 3.00 rad/s2. It starts from rest at
t = 0, and a line drawn from the center of the disk to a
point P on the rim of the disk makes an angle of 57.3°
with the positive x-axis at this time.
(a) At t = 2.48 s, find the angular speed of the
wheel.
rad/s
(b) At t = 2.48 s, find the magnitude of the linear
velocity...

A gearwheel has angular motion (t) = 3.00 rad − 2.00(rad/s)t +
3.00(rad/s2)t2. (a) Determine the angular velocity (t) at t = 2.00
s. (b) Determine the angular acceleration (t) at t = 2.00 s.

At t = 0, a flywheel has an angular velocity of 4.3
rad/s, a constant angular acceleration of -0.26 rad/s2,
and a reference line at ?0 = 0.
(a) Through what maximum angle ?max will the
reference line turn in the positive direction?
(b) At what times t will the line be at ? =
1/2 ?max (consider both positive and negative
values of t)
(c) At what times t will the line be at ? =
-10.7 rad (consider...

At t = 0, a flywheel has an angular velocity of 5.4 rad/s, an
angular acceleration of -0.11 rad/s2, and a reference line at ?0 =
0. (a) Through what maximum angle ?max will the reference line turn
in the positive direction? What are the (b) first and (c) second
times the reference line will be at ? = ?max/3? At what (d)
negative time and (e) positive time will the reference line be at ?
= -13 rad?

At t = 0, a flywheel has an angular velocity of 9.2
rad/s, an angular acceleration of -0.44 rad/s2, and a
reference line at ?0 = 0. (a) Through
what maximum angle ?max will the reference line turn in
the positive direction? What are the (b) first and
(c) second times the reference line will be at ? =
?max/2? At what (d)negative time and
(e) positive time will the reference line be at ?
= -15 rad?

1. A wheel starts from rest and has an angular acceleration of
6.00 rad/s2 . When it has made 3.00 rev its angular
velocity in rad/s is:
2. A circular disk of radius 1.00 m rotates, starting from rest,
with a constant angular acceleration. What is the centripetal
acceleration of a point on the edge of the disk at the instant that
its angular speed is 2.50 rev/s?

A wheel released from rest is rotating with constant angular
acceleration of 2.5 rad/s2.
(a) After 2.5 s, what is its angular velocity?
rad/s
(b) Through what angle has the wheel turned?
rad
(c) How many revolutions has it made?
rev
(d) What is the speed of a point 1.0 m from the axis of
rotation?
m/s
What is the magnitude of the total acceleration of the same
point?
m/s2

At t = 0, a flywheel has an angular velocity of 9.1
rad/s, an angular acceleration of -0.16 rad/s2, and a
reference line at θ0 = 0. (a) Through
what maximum angle θmax will the reference line turn in
the positive direction? What are the (b) first and
(c) second times the reference line will be at θ =
θmax/3? At what (d) negative time and
(e) positive time will the reference line be at θ
= -8.1 rad?

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