1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Cloud [144]
2 years ago
14

If y = 0.02 sin (30x – 200t) (SI units), the frequency of the wave is

Physics
1 answer:
leva [86]2 years ago
3 0

Answer:

31.831 Hz.

Explanation:

<u>Given:</u>

  • \rm y = 0.02\sin(30x-200 t).

The vertical displacement of a wave is given in generalized form as

\rm y = A\sin(kx -\omega t).

<em>where</em>,

  • A = amplitude of the displacement of the wave.
  • k = wave number of the wave = \dfrac{2\pi }{\lambda}.
  • \lambda = wavelength of the wave.
  • x = horizontal displacement of the wave.
  • \omega = angular frequency of the wave = \rm 2\pi f.
  • f = frequency of the wave.
  • t = time at which the displacement is calculated.

On comparing the generalized equation with the given equation of the displacement of the wave, we get,

\rm A=0.02.\\k=30.\\\omega =200.\\

therefore,

\rm 2\pi f=200\\\\\Rightarrow f = \dfrac{200}{2\pi}=31.831\ Hz.

It is the required frequency of the wave.

You might be interested in
Explain how electromagnetic waves are produced. I
madreJ [45]

Answer:

Electromagnetic are produced by gases and air and so much many things

Explanation:

Science teacher said I did awesome

4 0
2 years ago
Neutral hydrogen can be modeled as a positive point charge +1.6×10^−19C surrounded by a distribution of negative charge with vol
Archy [21]

Answer:

a) 1.082 × 10⁻¹⁹C  ( e = 1.6 × 10⁻¹⁹C)  

b) 3.466 × 10¹¹ N/C

Explanation:

a)

p(r) = -A exp ( - 2r/a₀)

Q = ₀∫^∞ ₀∫^π ₀∫^2xπ p(r)dV  =  -A  ₀∫^∞ ₀∫^π ₀∫^2π   exp ( - 2r/a₀)r² sinθdrdθd∅

Q = -4πA ₀∫^∞ exp ( - 2r/a₀)r²dr = -e

now using integration by parts;

A = e / πa₀³

p(r) =  - (e / πa₀³) exp (-2r/a₀)

Now Net charge inside a sphere of radius a₀ i.e Qnet is;

= e - (e / πa₀³)  ₀∫^a₀ ₀∫^π ₀∫^2π  r² exp (-2r/a₀)dr

= e - e + 5e exp (-2) = 1.082 × 10⁻¹⁹C  ( e = 1.6 × 10⁻¹⁹C)  

b)

Using Gauss's law,

E × 4πa₀ ² = Qnet / ∈₀

E = 4πa₀ ² × Qnet × 1/a₀²

E = 3.466 × 10¹¹ N/C

4 0
3 years ago
A 4 kg block is pulled with 4.1 N of force to the right. The block experiences 1.0 N of
Evgesh-ka [11]

Answer:

CHECK THIS..

THANK YOU.

4 0
2 years ago
During a circus performance, a 72-kg humancannonball is shot out of an 18-m-long cannon. If thehuman cannonball spends 0.95 s in
andreyandreev [35.5K]

Answer:

2872.8 N

Explanation:

We have the following information

m =n72kg

Δy = 18m

t = 0.95s.

From here we use the equation

Δy=1/2at2 in order to solve for the acceleration.

So a

=( 2x 18m)/(0.95s²)

= 36/0.9025

= 39.9m/s2.

From there we use the equation

F = ma

F=(72kg) x (39.9)

= 2872.8N.

2872.8N is the average net force exerted on him in the barrel of the cannon.

Thank you!

7 0
2 years ago
Select the correct answer.
erica [24]
<span>The correct answer is C:Waves transfer energy, but not matter. A wave does not move matter in the direction of its propagation. It only transfers energy just like the ocean wave traveling many miles away with the water just moving up and down.</span>

6 0
3 years ago
Other questions:
  • A student uses an electronic force sensor to study how much force the student’s finger can apply to a specific location. The stu
    12·2 answers
  • What drives a nail into wood
    6·1 answer
  • Can someone tell me a food chain then explain how ur food chain works?! Plz
    10·1 answer
  • Consider the following situations:
    12·1 answer
  • What makes some chemical bonds more stable than others
    11·1 answer
  • The rotation period for Venus is___days. (pls help!)<br> 365<br> 186<br> 512<br> 243
    11·2 answers
  • Joan makes the device shown in her science class.
    6·1 answer
  • What is a measure of the consistency and stability of test scores when readministered at different times?
    13·1 answer
  • If a football is thrown from rest with an acceleration of 8.5 m/s2, and had an final
    13·1 answer
  • Human diversity means similarities among people. It's each of us in our rich and infinite indistinguishable features. True of fa
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!