The equation y = 5 Sin (3x - 4t), where
y is in millimeters, x is in metres and t
is in seconds, represents a wave motion.
Determine the (i) frequency (ii) period
(iii) speed of the wave.​

Answers

Answer 1

Answer:

Frequency, f = 0.63 Hz

Period, T = 1.58 s

Speed of a wave, v = 1.34 m/s

Explanation:

The equation of a wave is given by :

[tex]y = 5 \sin (3x - 4t)[/tex] ...(1)

y is in mm

x is in meters

t is in seconds

The general equation of a wave is given by :

[tex]y=A\sin(kx-\omega t)[/tex] ...(2)

(i) Compare equation (1) and (2) we get :

[tex]k=3\\\\\omega=4[/tex]

Since,

[tex]\omega=2\pi f\\\\f=\dfrac{\omega}{2\pi}\\\\f=\dfrac{4}{2\pi}\\\\f=0.63\ Hz[/tex]

(ii) Period of wave is :

[tex]T=\dfrac{1}{f}\\\\T=\dfrac{1}{0.63}\\\\T=1.58\ s[/tex]

(iii) Speed of a wave,

[tex]v=\dfrac{\omega}{k}\\\\v=\dfrac{4}{3}\\\\v=1.34\ m/s[/tex]


Related Questions

Ella jogs down the street with a speed of 12 m/s. What is her kinetic energy if her mass is 58 kg?

Answers

Answer:

4176 J

Explanation:

Ella speed (V) = 12 m/s, Mass = 58 kg.

Kinetic energy of a body is the energy it possesses as a result of its motion. It is the energy (work) needed to cause a given body to move from rest to its final velocity. It is measured in Joules. The kinetic energy of a body is the same until its velocity changes.

Kinetic energy = 1/2 × m × V²

Kinetic energy = 0.5 × 58 × 12² = 4176 J

How man significant figures does the following value gave 43.023

Answers

Answer:

It has 5 I hope this helps you

Why is friction a problem in space travellers​

Answers

The answer is gravitational:)

the work done by a force acting through a distance.

Answers

Answer:

When a force acts on an object over a distance, it is said to have done work on the object. Physically, the work done on an object is the change in kinetic energy that that object experiences.

Explanation:

google lol

Answer:

When a force acts on an object over a distance, it is said to have done work on the object. Physically, the work done on an object is the change in kinetic energy that that object experiences.

Explanation:

PLZZZZ give me brainliest!!!

Astronomers are comparing two stars that are known to have the
same luminosity. Star A is observed to be 4 times brighter than star B.
How far away is Star A compared to Star B?
2 times closer
4 times closer
2 times farther
16 times closer

Answers

it is 4 times closer


Determining the pH of substances such as purple grape juice and catsup using test strips can be difficult. Why?

Answers

Answer:

Because they would naturally dye the test strips in the colors violet and red, regardless of their pH values

(would really appreciate the brainliest)

Answer:

they are naturally dark/dying the strips.

Explanation:

In laboratorio, versi in un tubo a U acqua da una estremità e olio dall'altra. Le densità dell'olio e dell'acqua sono, rispettivamente, 890 kg/m^3 e 1010 kg/m^3. L'altezza della colonna d'acqua è 18 cm. ▶ A che altezza arriva l'olio nell'altro ramo del tubo? ▶ Quanto vale la differenza fra i livelli superiori dell'acqua e dell'olio nei due rami?

Answers

Answer:

20.4 cm; 2.4 cm  

Explanation:

The formula for the pressure p exerted by a column of a liquid with density ρ and height h is

p = ρgh

where h = the acceleration due to gravity

If you have two liquids balancing each other in a U-tube

     p₁ = p₂

ρ₁gh₁ = ρ₂gh₂

 ρ₁h₁ = ρ₂h₂

Data:

ρ₁ = 1010 kg/m³; h₁ = 18 cm

ρ₂ = 890 kg/m³; h₂ = ?          

1. Height of oil column

We measure from the horizontal red line.

[tex]\begin{array}{rcl}\rho_{1}h_{1} & = &\rho_{2}h_{2}\\\text{1010 kg/m}^{3} \times \text{18 cm} & = & \text{890 kg/m}^{3} \times h_{2}\\\text{18 180 cm} & = & 890h_{2}\\h_{2} & = & \dfrac{\text{18180 cm}}{890}\\\\ & = & \text{20.4 cm}\\\end{array}\\ \text{The height of the oil column is $\textbf{20.4 cm}$}[/tex]

2. Height of oil above water

h₂ - h₁ = 20.4 cm – 18 cm = 2.4 cm

Light is travelling through air reaches quartz at an angle of incidence of 35°. The index of refraction of quartz is 1.54. At what angle of refraction does the light travel into the quartz?

Answers

Answer:

1.54 = sin 35/sin r

sin r = 0.57/1.54 =0.37

r = sin^-1( 0.37)

=21.7°

How is 'one standard kilogram' defined in SI system?

Answers

Explanation:

The standard one kilogram mass is the mass of platinum-iridium cylinder kept at 0 degree Celsius at the International Bureau of Weights and Measures in France. The mass is equal to mass of 1 litre of water at 4 degree Celsius.

A 4.0-kg ball has a momentum of 20.0 kg-m/s. What is the ball's speed?

Answers

Explanation:

Moving mass m = 4.0Kg

Momentum P = 20.0Kgm/s

Speed V = ?

Momentum = product of mass and its velocity

P = mV

V = P

m

V = 20

4

V = 5m/s

The ball's speed is 5 m/s.

What is speed?

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Given parameters:

Mass of the ball; m = 4.0Kg

Momentum of the ball; P = 20.0Kgm/s

We have to find; the speed of the ball; v = ?

We know that: Momentum of the ball = product of mass and its speed

⇒ P = mv

⇒ v = P/m

⇒ v = 20.0/4.0 m/s.

⇒ v = 5m/s

Hence, the speed of the ball is 5 m/s.

Learn more about speed here:

https://brainly.com/question/28224010

#SPJ2

A mass of 15 X 10^5 kg is held at a position 9 m away from a mass of 20 X 10^6 kg. What is the gravitational attraction between the two masses?

Answers

Answer:

The gravitational attraction between the two masses is 24.7 N.

Explanation:

We have,

Mass of object 1, [tex]m_1=15\times 10^5\ kg[/tex]            

Mass of object 2, [tex]m_2=20\times 10^6\ kg[/tex]

Distance between masses is 9 m

We know that there exists a gravitational force between masses when they are placed at certain distance. The gravitational force between masses is given by :

[tex]F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{15\times 10^5\times 20\times 10^6}{(9)^2}\\\\F=24.7\ N[/tex]

So, the gravitational attraction between the two masses is 24.7 N.

of the ball is
As the object falls off the roof of a tall building_______
turning into______

A) chemical potential energy; gravitational potential energy .
B) gravitational energy; kinetic energy .
C) chemical potential energy; kinetic energy.
D) kinetic energy ;gravitational potential energy.

Answers

Answer:b

Explanation:

velocity of a falling object increases.

so Kinetic energy of a falling object increases

height of a falling object from the ground decreases.

so the potential energy of a falling object decreases

How do power plants generate electricity?

Answers

Answer:

Explanation:

electrons are a waste product of bacteria living around plant roots – plants discharge organic matter into the soil, which is broken down by bacteria. It is possible to harvest them using motonless electrodes and turn them into electricity, without affecting the plant’s growth in any way.

Identify each relationship as direct or inverse by choosing the correct answer from the drop-down menu.

speed of a car and the distance traveled

number of people at a party and the amount of food consumed

elevation above sea level and the air temperature

distance a planet is from the sun and the period of revolution

temperature of a bowl of soup and time

Intro

Done

ODODDDDDDD

5 of 9

Answers

Answer:

a) Direct

b) Direct

c) Inverse

d) Direct

e) Inverse

Explanation:

a) Speed of Car and Distance Traveled

Direct

Since, speed = (distance)(time)

Therefore, for constant time, Speed α Distance

b) No. of People at Party and Amount of Food Consumed

Direct

Since,

Food Consumed = (Food Consumed by 1 Person)(No. of People at Party)

Therefore, for constant amount of food consumed by 1 person,

Food Consumed α No. of People at Party

c) Elevation above Sea Level and Air Temperature

Inverse

The relation between altitude and air temperature is not constant. It changes in every layer of the atmosphere. So, if we only talk about the first layer, that is, Troposphere. Then the relation between elevation above sea level and air temperature is:

Air Temperature α 1/Elevation Above Sea Level

As, the elevation increases the air temperature decreases.

d) Distance of a Planet from Sun and Period of Revolution

Direct

According to Kepler's Law:

Period of Revolution α (Distance from Sun)^1.5

e) Temperature of a Bowl of Soup and Time

Inverse

Since, the initial temperature of soup is higher than the surrounding. Thus it loses heat to the surrounding with time. As a result the temperature of the soup decreases with time.

Therefore,

Temperature of Bowl of Soup α 1/Time

what is physical fitness? 1) the improvement of the body through inteninoal movement 2) the speed at which the body moves during exersize 3) the ability of the body to function of the body to function efficiently during exercise D) the preformence of mucles for long periods of time

Answers

Answer:

D) the preformence of mucles for long periods of time

Tear–free shampoos are advertised as having a pH similar to that of human tears. What pH would you expect tear–free shampoos to be?

Answers

Answer: 7

Explanation:

The pH of water, a neutral substance, is 7. Human tears are a saline composed mostly of water. Therefore, it stands to reason that a tear-free shampoo would have a similar pH close to 7.

Answer:

the pH level would be 7

Explanation:

indica el mecanismo de propagacion del calor en un liquido , gas , solido , vacio

Answers

Answer:

(See explanation below for further details)

Explanation:

(The following question is written in Spanish and for this purpose the answer will be written in such language).

1) La propagación del calor a través de sólidos, así como líquidos o gases en condiciones estacionarias se denomina conducción.

2) La propagación del calor a través de líquidos o gases en movimiento se denomina convección.

3) La propagación del calor a través del vacío o sin necesidad de un medio material se denomina radiación.

What does an electromagnet do?
Name five (5) things.

Answers

Answer:

it is used on hard disk drives, speakers, motors, mri machines, and generators

Explanation:

there ya go

how light recats with each of diffrent types of space and materials

Answers

Answer:

Reflection is when light bounces off an object. If the surface is smooth and shiny, like glass, water or polished metal, the light will reflect at the same angle as it hit the surface. This is called specular reflection.

write a sentence to describe how an image is formed on retina
when looking at distant objects.​

Answers

Answer:

An image is formed on the retina with light rays converging most at the cornea and upon entering and exiting the lens. Rays from the top and bottom of the object are traced and produce an inverted real image on the retina. The distance to the object is drawn smaller than scale

yoyoyoyoyoyoyoyoyoyoyoyoyoyoyoy

Answers

Answer:

Yoyoyoyoyooyoyy

Explanation:

Yoyoyoyoyoyoyoyoyooy

Answer:

yoyoyoyoyoyooyoyoyoyoyyoyoy

De acordo com a sequência de substâncias listada na tabela ao lado, se atritarmos vidro com lã, o vidro ficará carregado positivamente. Qual será a carga da madeira quando atritada com: a) lã b) seda c) marfim

Answers

Answer:

a) Wood is positively charged when rubbed with wool.

b) Wood is positively charged when rubbed with silk.

c) Wood is negatively charged when rubbed against ivory.

a) A madeira é carregada positivamente quando esfregada com lã.

b) A madeira é carregada positivamente quando esfregada com seda.

c) A madeira é carregada negativamente quando esfregada contra o marfim.

Explanation:

English Translation

According to the sequence of substances listed in the table opposite, if we rub glass with wool it will be positively charged. what will be the charge of the wood when rubbed with a) wool? b) silk? c) ivory?

Solution

What will happen when two materials are rubbed on each other is due to the sequence on the static electricity table, with the materials arranged based on their tendencies to rub off electrons from one another.

Materials lower on the table can rub off electrons from materials higher on the table, thereby making the higher material positively charged.

a) Wood and Wool

Wood is higher than wool on this table, hence, wool easily rubs off electrons from the surface of the wood and leaves the wood with an overall more positive charges. Wood is positively charged after this.

b) Wood and Silk

Wood is higher than silk on this table, hence, silk easily rubs off electrons from the surface of the wood and leaves the wood with an overall more positive charges. Wood is positively charged after this.

c) Wood and Ivory

Wood is lower than ivory on this table, Hence, wood rubs off electrons from the surface of the ivory material and the overall charges on the wood is more negative. Wood is negatively charged after this.

In Portugese/Em português

O que acontecerá quando dois materiais forem esfregados um no outro é devido à sequência na tabela de eletricidade estática, com os materiais organizados com base em suas tendências de esfregar elétrons um do outro.

Os materiais mais baixos da mesa podem remover elétrons dos materiais mais altos da mesa, tornando o material mais alto carregado positivamente.

a) Madeira e lã

A madeira é mais alta que a lã nesta tabela; portanto, a lã retira facilmente elétrons da superfície da madeira e deixa a madeira com uma carga geral mais positiva. A madeira é carregada positivamente depois disso.

b) Madeira e seda

A madeira é mais alta que a seda nesta tabela; portanto, a seda retira facilmente elétrons da superfície da madeira e deixa a madeira com uma carga geral mais positiva. A madeira é carregada positivamente depois disso.

c) Madeira e Marfim A madeira é mais baixa que o marfim nesta tabela. Portanto, a madeira elimina elétrons da superfície do material de marfim e as cargas gerais na madeira são mais negativas. A madeira é carregada negativamente depois disso.

Hope this Helps!!!

Espero que isto ajude!!!

In a parallel circuit that has the same number and type of resistors as a series circuit the total resistance will be __________ and the total current will be ________. A.greater;greater B.lower;greater C.greater;the same D.the same;lower

Answers

Answer:

B. lower, greater

...............

The answer is B:) hope that helps

An artificial satellite is moving in a circular orbit of radius 42250 km. Calculate its speed if it takes 24 hours to revolve around the earth

Answers

Answer:

Distance covered by the satellite in 24 hours

s=2πr

  =2×3.14×42250=265464.58 km

Therefore speed of satellite,

v  = [tex]\frac{time taken}{distance travelled}[/tex]

 =  24×60×60 /265464.58 ​  

 =[tex]3.07 km s^{-1}[/tex]  −

Explanation:

v=  time taken /distance travelled

​  

Under what circumstances can air resistance exercises ignored?

Answers

Answer:

lf you drop an object and it hasn't been able to attain a significant fraction of it's terminal velocity by the time it hits the ground or whatever other event ends your experiment then you can ignore air resistance

A 2.0 c charge moves with a velocity of (2.0i+4.0j+6.0k)m/s and experiences a magnatic force of (0.4i-20j+12k)N. The x component of the magnatic field is equal to zero. Determine the y component of the magnatic field

Answers

Answer:

[tex]\vec{B}_{y}=6T[/tex]

Explanation:

Here we can use the Lorentz force equation.

[tex]\vec{F}_{B}=q(\vec{v}\times \vec{B})[/tex]

We know:

v is the velocity (2.0i+4.0j+6.0k) m/sF is the magnetic force (0.4i-20j+12k) NB is the magnetic force (ai+bj+ck) Tq is the charge 2 C

So we will have:

[tex] (0.4i-20j+12k)=2((2.0i+4.0j+6.0k) \times (ai+bj+ck))[/tex]  

Let's solve the cross product, knowing that x component of B is 0, it means a=0.

[tex] (0.4i-20j+12k)=2((2.0i+4.0j+6.0k) \times (0i+bj+ck))[/tex]  

[tex] (0.4i-20j+12k)=2((4c-6b)i-2cj+2bk)[/tex]  

Comparing the k component we have:

[tex]12=2b [/tex]

[tex]b=6 [/tex]            

If we see b is the y-component of the magnetic field, therefore [tex]\vec{B}_{y}=6T[/tex]

I hope it helps you!

Answer:

-0.033 units

Explanation:

According to Lorentz force law, the magnetic force, F, on a moving charge, q, moving with a velocity, v, in a magnetic field, B, is given by;

F = q v x B   ----------------(i)

Where;

F, v and B are vectors. Therefore, equation (i) represents a vector product of the velocity and magnetic field vectors.

From the question;

v = (2.0i + 4.0j + 6.0k)m/s

F = (0.4i - 20j + 12k)N

q = 2.0C

Let the magnetic field vector be given by;

B = ai + bj + ck               ---------------------(*)

Where;

a, b and c are the magnitudes of the x, y and z components of the magnetic field.

Substitute the values of F, v, B and q into equation (i) as follows;

(0.4i - 20j + 12k) = 2.0(2.0i + 4.0j + 6.0k) x (ai + bj + ck)

Expanding the second bracket gives

(0.4i - 20j + 12k) = (4.0i + 8.0j + 12.0k) x (ai + bj + ck)          ---------------(ii)

Solving the right hand side of equation (ii) which is the vector product gives;

                                       |                                       |

                                       |  i               j                 k |

 (0.4i - 20j + 12k) =        |  4.0         8.0         12.0  |

                                      |  a             b                 c  |

                                      |                                        |

(0.4i - 20j + 12k)  = (8.0c - 12.0b)i - (4.0c -12.0a)j + (4.0b - 8.0a)k      ----(iii)

Comparing both sides of equation (iii) gives the following three equations;

0.4 = 8.0a - 12.0b           --------------------(iv)

-20 = 4.0c - 12.0a          ---------------------(v)

12 = 4.0b - 8.0a             ----------------------(vi)

From the question, it is given that the x component of the magnetic field is equal to zero. Now, recall that from equation (*) above, the magnitude of the x-component of the magnetic field is given as a

Therefore;

a = 0

To get the y component, which is b, substitute the value of a = 0 into equation (iv) as follows;

0.4 = 8.0(0) - 12.0b

0.4 = 0 - 12.0b

0.4 = - 12.0b

Solve for b;

b = [tex]\frac{-0.4}{12.0}[/tex] = -0.033

Therefore the y component of the magnetic field is -0.033 units

5 renewable energy resources
i have nuclear, solar, wind
what am i missin?

Answers

Answer:

Solar energy.

Wind energy.

Hydro energy.

Tidal energy.

Geothermal energy.

Biomass energy.

A bus starting from rest moves with a uniform acceleration of 0.1m/s2 for 2 minutes. Find (a)the speed acquired (b) the distance travelled

Answers

Answer:

a) 12m/s b) 720m

Explanation:

Use SUVAT:

a) u=0 a= 0.1  t= 2mins = 120 seconds v=?

v=u+at

v= 0 +(0.1*120)

v=12m/s

b) s=? u=0 a=0.1 t=120

s=ut+1/2at^2

s=0*120+1/2*0.1*120^2

s=720m

Which statement about energy conservation BEST explains why a bouncing basketball will not remain in motion forever?

a The energy is used up and destroyed.
b The energy is transferred to light and potential energy.
c The energy is transformed to heat and chemical energy.
d The energy is transformed to sound and heat energy.

Answers

Answer:

  d  The energy is transformed to sound and heat energy.

Explanation:

Each time the basketball bounces, it makes sound waves, and dissipates energy in the form of heat in the material of the ball and the surrounding air. There is no light or chemical change involved.

Kepler’s third law states that for all objects orbiting a given body, the cube of the semimajor axis (A) is proportional to the square of the orbital period (P). For each of our planets orbiting the Sun, the relationship between the orbital period and semimajor axis can be represented by the equation P2 = kA3, where k is a constant value for all the planets. Rewrite this equation so that it solves for the constant of proportionality, k.

Answers

Explanation:

Kepler’s third law states that for all objects orbiting a given body, the cube of the semimajor axis (A) is proportional to the square of the orbital period (P).

For each of our planets orbiting the Sun, the relationship between the orbital period and semimajor axis can be represented by the equation as:

[tex]P^2=kA^3[/tex]

k is constant of proportionality

It is required to solve the above equation for k

[tex]k=\dfrac{P^2}{A^3}[/tex]

Answer:

k is constant of proportionality

It is required to solve the above equation for k

Explanation:

Other Questions
Southwest Milling Co. purchased a front-end loader to move stacks of lumber. The loader had a list price of $117,640. The seller agreed to allow a 4.25 percent discount because Southwest Milling paid cash. Delivery terms were FOB shipping point. Freight cost amounted to $2,000. Southwest Milling had to hire a specialist to calibrate the loader. The specialists fee was $760. The loader operator is paid an annual salary of $6,140. The cost of the companys theft insurance policy increased by $2,220 per year as a result of acquiring the loader. The loader had a four-year useful life and an expected salvage value of $5,300.Required:1. Determine the amount to be capitalized in the asset account for the purchase of the front-end loader. (Round your answers to the nearest whole dollar. Amounts to be deducted should be indicated with minus sign.) In due time, specifications came through, for a tough, fast, comfortable vehicle, mounting a camper top a little house with double bed, a four-burner stove, a heater, refrigerator and lights operating on butane, a chemical toilet, closet space, storage space, windows screened against insects exactly what I wanted.What is the purpose of the descriptive detail in this passage from Travels with Charley?It shows that the author has a lot of money to buy a fancy camper.It shows that the author is a very fussy person.It shows how the camper meets all the authors travel needs.It shows that the author is a good designer. With age, somatic cells are thought to accumulate genomic "scars" as a result of the inaccurate repair of double-strand breaks by nonhomologous end-joining (NHEI). Estimates based on the frequency of breaks in primary human fibroblasts suggest that by age 70 each human somatic cell may carry some 2000 NHEl-induced mutations due to inaccurate repair. If these mutations were distributed randomly around the genome, how many genes would you expect to be affected? Would you expect cell function to be compromised?'vVhy or why not? (Assume that 2% of the genome-l.5% coding and 0'5% regulatory-is crucial information.) amount of 1 pointWhen photographing a landscape there should be anforeground, middle ground, and back ground. *evenuneven the base of a expoential function can be a negative number true or false What term refers to the lifestyle of a woman who slows her career advancement by choosing a career path that allows a mother flexible or reduced work hours? what is equivalent to (125^2/125^4/3) i need help with this the question is: Josh has 27 signed baseballs. He places the baseballs equally on 3 shelves. How many baseballs are on the shelf. 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The diagram shows 2 different shapes ...................................................................................................................Thanks in advance The figure is a square. Its diagonals meet to form four rightangles. What is the approximate value of x?O 2.8 unitsO 3.3 unitsO 4.0 unitsO 5.7 units g Only something with no mass (such as light) can move at the speed of light. b. Theoretically, a particle with mass can only move faster than the speed of light if given infinite energy. c. When in a medium (such as water) light will move less than c, and observers in different inertial frames can observe that light moving at different speeds. d. Theoretically, a particle with mass can only reach the speed of light if given infinite energy. e. Choices a), c), d) are correct. If something is easy to sell and turn into money, it isA. FixedB. ReceivableC. llliquidD. LiquidPlease select the best answer from the choices provided