Question

show that the amplitude of a cylindrical wave must vary as r^-1/2. what conservation law applies here

Answer #1

A rather typical sound wave has a pressure amplitude of 2×10-2
Pa and a frequency of 103Hz. Assuming that the wave is a plane wave
propagating to the right in air at 22°C and 1.01×105 Pa:a) Write
the function describing this wave. Give numerical values for the
circular frequency ω, the wave number k, and the amplitude. b) What
is the amplitude of the particle velocity in this wave?c) What is
the maximum percentage change in the air density due...

Which statement best describes the conservation of momentum?
1. When Newton's 3rd law applies to objects inside and outside
of the system because forces are causing acceleration.
2. When there are no unbalanced exerternal forces acting on the
system.
3.When the center of mass of the system moves in a circular
path.
4.When the center of mass of the system is not accelerating.

with one of these principles 1) Newton’s second law-
relating forces and kinematics, 2) conservation of momentum 3)
conservation of energy. Explain the domino chain and why it is this
principle. Thank you!

with one of these principles 1) Newton’s second law-
relating forces and kinematics, 2) conservation of momentum 3)
conservation of energy. Explain the domino chain and why it is this
principle. Thank you!

Standing Waves
1. Draw a sine wave. On this graph, indicate what the Amplitude
and Period are. If someone just gave you this graph, how could you
find the Frequency?
2. Imagine that two water waves moving in opposite directions
run into each other. What will the resulting wave look like?
3. When 2 waves interfere, can the resulting wave have a larger
amplitude than either of the two original waves? When?
4. What is the definition of a node?...

1) Point R has cylindrical coordinates (5, pi/6, 4). Plot R and
describe its location in space using rectangular or cartesian
coordinates.
Please explain and show your steps.
2) Describe the surface with cylindrical equation r =6.
Please explain and show your steps. Thank you

1) Show that ¬p → (q → r) and q → (p ∨ r) are logically
equivalent. No truth table and please state what law you're using.
Also, please write neat and clear. Thanks
2) .Show that (p ∨ q) ∧ (¬p ∨ r) → (q ∨ r) is a tautology. No
truth table and please state what law you're using. Also, please
write neat and clear.

2 cylindrical (infinite&concentric) shells are placed at r=a
and r=b at a<b. Inner shell has V0 potential and
outer shell is grounded. Medium between the shells = free
space.
a) What is the electrostatic potential field between the
shells.
b) Show that your soln. is unique.

Solid cylindrical wire of infinitely length has radius R. I, a
current, is flowing in the z direction. Through the cross section
of the wire, the current flow is uniformly distributed.
1. Find the current density vector J in the wire. Show your
steps and be clear on the formulas.
2. What's the magnitude of the magnetic field at points outside
the wire? Use Ampere’s Law.
3. What's the magnitude of the magnetic field at points inside
the wire? Again,...

Let R = (1 2 3 ) and F = (1 2 ). Here R and F are elements in
S3 given in cycle notation. Show that S3 =
{e, R, F, R2, RF, R2F}

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