Question

A series of ocean waves have the form f(x)=5sin(30t)+7 feet, where the ocean floor is at f(x)=0 feet. What is the highest a wave reaches above the ocean floor? What is the period of the waves?

Answer #1

We have given the wave equation as

f(t)=5sin(30t)+7

We know the general equation is written as

Where A is amplitude of the wave and B is vertical shift .

From this equation of the wave we can simply say that the amplitude of the wave will be 5

So the highest point the ocean reaches is (5+7) feet which is simply 12 feet

Now we need to find the time period , from the wave equation we have

So

So we get

T=0.2094395102393 s

Q1. A set of ocean waves travelling towards the shore can be
represented by the following equation. ?(?,?)=?????(??−?.??)
a) What is the amplitude of the waves?
b) What is the wavelength of the waves?
c) What is the period of the waves?
d) What is the wave speed?
Q2. In another experiment, A force of F = 3i+2k N is applied to the
edge of a thin metal disk, with mass 20kg and radius 1.4 m. The
point on the...

f(x) = 2x - 7
x ∈ (0,7)
Draw a plot of the periodic Fourier Series expansion of f(x).
What is its value at x=0 and why? Is it odd or even?
Expand the given function in a Fourier Series also

Find the closed form of the Fourier series of f(x) with
integrals simplified and evaluated. Use Octave or Matlab to plot a
graph of the first 3 non-zero partial sums. Period is 2pi
f(x)=x2 (-pi<x<pi)

Let f have a power series representation, S. Suppose that
f(0)=1, f’(0)=3, f’’(0)=2 and f’’’(0)=5.
a. If the above is the only information we have, to what degree
of accuracy can we estimate f(1)?
b. If, in addition to the above information, we know that S
converges on the interval [-2,2] and that |f’’’’(x)|< 11 on that
interval, then to what degree of accuracy can we estimate
f(1)?

A standing wave on a string fixed at both ends is described by
y(x,t)=2 sin((π/3)x)cos((π/3)t), where x and y are given in cm and
time t is given in s. Answer the following questions
a) Find the two simplest travelling waves which form the above
standing wave
b) Find the amplitude, wave number, frequency, period and speed of
each wave(Include unit in the answer)
c) When the length of the string is 12 cm, calculate the distance
between the nodes...

Two travelling sinosoidal electromagnetic waves, each with an
intensity 15 W/m2W/m2 , interfere to form a standing wave. The
resulting electric field E⃗ (z,t)E→(z,t) has nodes (i.e., is zero
at all times) at z=…,−2a,−a,0,a,2a,…z=…,−2a,−a,0,a,2a,… with aaa =
4.0 mm , and satisifes E⃗ (z,0)=0E→(z,0)=0. Furthermore, the
magnetic field B⃗ (z,t)B→(z,t) is observed to point along ±i^±i^
everywhere. You may take ccc = 3.0×108 m/sm/s and
8.9×10−12 F/mF/m .
A) What is the wavelength λλlambda of the two constituent
travelling waves?...

Two waves traveling in opposite directions on a stretched rope
interfere to give the standing wave described by the following wave
function:
y(x,t) = 4 sin(2πx) cos(120πt),
where, y is in centimetres, x is in meters, and t is in seconds.
The rope is two meters long, L = 2 m, and is fixed at both
ends.
In terms of the oscillation period, T, at which of the following
times would all elements on the string have a zero vertical...

7. Suppose that random variables X and Y have a joint density
function given by: f(x, y) = ? + ? 0 ≤ ?≤ 1, 0 ≤ ? ≤ 1
(a) Find the density functions of X and Y, f(x) and f(y).
(b) Find E[X] and Var(Y).

Particles of mass m are incident from the positive x axis
(moving to the left) onto a potential energy step at x=0. At the
step the potential energy drops from the positive value U_0 for all
x>0 to the value 0 for all x<0. The energy of the particles
is greater than U_0.
A) Sketch the potential energy U(x) for this system.
B) How would the wavelength of a particle change in the x<0
region compared to the x>0 region?...

What is the probability density function for U=5X if X has
probability density function f(x)=(x^2)/7 where -2 < x <
8?
Please explain your working with words.
Thanks.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 4 minutes ago

asked 17 minutes ago

asked 21 minutes ago

asked 23 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 43 minutes ago

asked 52 minutes ago