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
natulia [17]
2 years ago
9

A plane wave has equation; y= 25sin(120 _4x).find the: (1)wave length (2)wave velocity (3)frequency and period of the wave

Physics
1 answer:
kupik [55]2 years ago
8 0

(1) The wavelength of the wave is 1.57 m.

(2) The velocity of the wave is 30 m/s .

(3) The frequency of the wave is 19.10 Hz and the time period of the    wave is 0.052 s.

Note: The given equation seems to be incomplete. Most probably the equation was y=25sin(120t-4x). And the standard system of units (i.e. kg, m, s) is used.

Wavelength: The distance between the consecutive crest or trough of a wave is called the wavelength of a wave.

The equation of a plane wave oscillating in the y direction and traveling in the x direction is given by the equation,

y=A sin(ωt-kx)

where y is the displacement along the y direction, A is the amplitude of the wave, ω is the angular frequency, t is the time, x is the displacement along the x direction, and k is the wave constant.

The given equation is,

y=25sin(120t-4x)

Comparing this equation with the above equation, following values are obtained.

k= 4 m^(-1)

ω =120 rad/s

A=25

The wavelength λ is given by the formula,

λ=2π/k

Here k = 4 m^(-1), so

λ=2π/4

λ=1.57 m.

Velocity: The velocity of a wave is the product of the frequency and the wavelength.

The velocity v is given by the formula,

v=ω*λ/2π

Here ω=120 rad/s and λ=1.57 m, so

v=120*1.57/2π

v=30 m/s

Frequency: The number of oscillations completed in one second is called the frequency of a wave.

The formula of the frequency is,

f=v/λ

Here v=30 m/s and λ=1.57 m, so

f=30/1.57

f=19.10 Hz

Time period: The time taken to complete one cycle of oscillation is called the time period of oscillation.

The formula to calculate the time period T is,

T=2π/ω

Here ω=120 rad/s, so

T=2π/120

T=0.052 s.

Learn more about velocity of wave.

brainly.com/question/25847786

#SPJ4

You might be interested in
What’s the velocity of a sound wave traveling through air at a temperature of 18°C (64.4°F)?
Anna11 [10]

Answer:

342 m/s

Explanation:

The velocity of sound in air is approximated as:

v ≈ 331.4 + 0.6 T

where v is the velocity in m/s and T is the temperature in Celsius.

At T = 18:

v ≈ 331.4 + 0.6 (18)

v ≈ 342.2

The velocity is approximately 342 m/s.

4 0
3 years ago
Read 2 more answers
Does time stand still in space
ruslelena [56]

Answer:

It's mostly known that time stops moving in a black hole, as for space, its known the spacetime changes over time. A black hole in such a state is essentially stationary. So for my research, time does not stand still in space unless were taking about black holes.

Explanation:

6 0
3 years ago
Read 2 more answers
Which is present when iodine changes from brown to blue or purple?
vladimir1956 [14]


If iodine is added to a starch solution, they react with each other and the iodine  darkens to an almost pitch black.

however, if iodine is added to a solution containing no starch, it will show up only as an extremely pale brown. almost colorless and hardly visible.

when following the changes in some inorganic oxidation reduction reactions, iodine may be used as an indicator to follow the changes of iodide ion and iodine element. soluble starch solution is added. only iodine element in the presence of iodide ion will give the characteristic blue black color. neither iodine element alone nor iodide ions alone will give the color result.

hope this answer really helps your question :)

5 0
3 years ago
How do vafiations in electronegativity result in the unequal sharign of electrons in polar molecuels?
nirvana33 [79]

Answer and Explanation:

Polar molecules are formed as a result of unequal sharing of electrons by the atoms in the molecule which creates polarization like that in water molecule.

If the electrons are shared equally by the atoms in the molecule then there won't be any polarization of the molecule and the molecule is non polar.

Electro-negativity is that property of an atom which lets it attract negative charges, i.e., electrons. The more the electro-negativity of an atom in the molecule the more are the chances of its polarization.

5 0
3 years ago
An airplane travels 2800 km at a speed of 700 km/h, decreases its speed to 500 km/h for the next 1500 km and travels the last 10
Dafna11 [192]

Answer:

he average speed for the airplane is 558 km/hr

Explanati

6 0
3 years ago
Other questions:
  • Identify the scientific law from among the following statements. A) The book fell 1 meter in 0.5 seconds B) Gravity acts upon ea
    6·2 answers
  • Which planet, when viewed through a telescope, appears as a reddish ball interrupted by some permanent dark regions that change
    12·2 answers
  • A helicopter's speed increases from 30m/s to 40m/s in 5 seconds. What is the acceleration of this helicopter?
    14·1 answer
  • An igneous rock becomes buried, is subject to high heat and pressure, and recrystallizes. This rock then is eroded, transported,
    12·1 answer
  • I NEED THIS QUICKLY
    14·2 answers
  • A box weighing 52.4 N is sliding on a rough horizontal floor with a constant friction force of magnitude LaTeX: ff. The box's in
    14·1 answer
  • Why does the vertical component of velocity for a projectile change with time, whereas the horizontal component of velocity does
    11·1 answer
  • The material through which a mechanical wave travels is
    7·1 answer
  • A boat is travelling down stream in a river at 20 m/s south. A passenger on the boat walks toward the back of the boat at 10 m/s
    15·1 answer
  • A+20 N force acts on a car and at the same time, a -30 N force acts on the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!