compared to a solid wire of the same gauge, stranded wire is more susceptible to interference.
A solid wire consists of a solid metal core while stranded wires are made of a quantity of thinner wires that are twisted together into an organized bundle.
But because of the bundle feature of the stranded wires, they have more surface areas in comparison to the solid wires, so there is more chances to have dissipation in this type of wires, specially when high frequency current is being passed.
Due to more dissipation it is more likely to have interference.
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5. a piano tuner stretches a steel piano wire with a tension of 800 n. the steel wire is 0.4 m long and has a mass of 3 g. a. what is the frequency of its fundamental mode of vibration? b. what is the number of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 10,000 hz?
a) The frequency of fundamental mode of vibration of steel piano is 400Hz.
b) The number of the highest harmonic that could be heard by a person is 24ᵗʰ.
In the given question we have,
lenth of steel piano wire (L) = 0.4 m
tension/ force on steel piano (T) = 800N
mass of steel piano (m) = 3g = 0.003 kg
We shall find out the frequency of fundamental mode of vibration of steel piano.
Fundamental Frequency of object depends on wave speed in turn which depend on tension .
Using Fundamental Frequency,
f₁ = v/2L
where , v---> wave speed
f₁ ---> fundamental frequency
L ---> length of wire
Firstly, we have to find out the value of wave speed.
For determining the wave speed we use following relation,
v = sqrt ( T/ μ )
where, v---> wave speed
T ---> Tension or force
μ ----> mass per unit length = m/L
Now, put all given values in formula
μ = m/L = 0.003/0.4 kg/m =
v = √800×0.40/(3× 10⁻³) = 327m/sec
fundamental frequency (f₁) = 327/(2×0.4 )
= 400Hz
b) The nth harmonic has frequency , fₙ = n f₁
wher, f₁---> fundamental frequency
fₙ----> highest frequency
n ----> harmonic number
fₙ = 10,000 Hz , f₁ = 409Hz
put in above formula, 10,000 = n × 409
=> n = 100/4 = 24.4
So, 24th harmonic is the highest harmonic that could be heard by a person who is capable of hearing frequenies upto 10,000Hz.
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an at-filled, parallel-plate capacitor has a capacitance of 1.32 pf. the separation of the plates is doubled and wax 1s inserted between them. the new capacitance is 2.57 pf. find the dielectric constant of the wax.
The dielectric constant of the wax is 4.
The energy stored in a capacitor is proportional to the square of the charge divided by the capacitance but doubling the plate spacing halves the capacitance. Capacitance is directly proportional to the electrostatic force field between the plates. This magnetic field gets stronger the closer the plates are to each other. Therefore, the capacitance increases as the distance between the plates decrease.
Therefore, we can conclude that doubling the area and distance between the plates of a parallel plate capacitor does not change the capacitance. A capacitor consists of two conductive plates separated by an insulator and is used to store an electrical charge. When you apply a voltage to a capacitor, one plate will be negatively charged and the other plate will be positively charged.
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The letter "B" is labeling what part of the wave?
B
Wavelength
Compression
Rarefaction
Amplitude
I don't think any of the choices on the list fits B.
B appears to be the time between two compressions, with a rarefaction between them labeled by C .
two cars, car x and car y, begin accelerating from rest, at the same time. car x is more massive than car y. the net force exerted on each car is identical. after 10 seconds, which car has more momentum?
They all have same amount of momentum.
What is momentum?The quantity of a body's motion is referred to as momentum.Given that momentum depends on both velocity and the direction of the body's motion, it is quantified as "mass velocity". Since velocity and mass are both scalar quantities, momentum is a vector quantity. Momentum = Mass X Velocity.example ,since a truck carrying products has a great mass and is traveling at a high speed, it must slow down before a stop sign because it will be difficult to stop.Despite carrying relatively little mass, a traveling bullet has a lot of momentum because of its high velocity.To learn more about momentum refer to:
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as thiew is leaving the parking lot in his car, he sees a coworker in the distance, rolls down his window and waves to her. thiew is using a hand wave as a(n)
As thief is leaving the parking lot in his car, he sees a coworker in the distance, rolls down his window and waves to her. thiew is using a hand wave as a(n) emblem (gesture).
Despite the frequent confusion between the terms emblem and symbol, an emblem is a design that serves to symbolize a concept or a specific person. A deity, a tribe or nation, a virtue or vice, or some other abstraction are all developed in tangible, visual terms by an emblem. An emblem may be worn or utilized in another way as a badge or patch for identification. For instance, in America, police officers' woven emblems on uniforms are used to identify members of a specific unit while their badges allude to their individual metal symbol. A real or metal cockle shell, St. James the Apostle's symbol, was stitched onto a pilgrim's hat or clothing during the Middle Ages to identify them at his shrine in Santiago de Compostela. Numerous saints received symbols in the Middle Ages that were used to identify them in paintings.
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The rising concern among athletic trainers and health advocates (and parents) regarding concussions and multiple concussions among high school football players has prompted numerous studies of the effectiveness of protective head gear and the forces and accelerations experienced by players. One study suggested that there is a 50% chance of concussions for impacts rated at 75 g's of acceleration (i.e., 75 multiplied by 9.8 m/s/s). The average head impact in football results in 22 to 24 g's of acceleration ... but not all head impacts are equal.
If a player's head mass (with helmet) is 5.41 kg and considered to be a free body, then what net force would be required to produce an acceleration of 75 g's?
Answer:
Explanation:
Given:
m = 5.41 kg
g = 9.8 m/s² - acceleration of gravity
a = 75·g = 75·9.8 ≈ 735 m/s²
__________________
F - ?
Newton's second law:
F = m·a
F = 5.41·735 ≈ 3 980 N
a pitcher throws a baseball with a mass of 5.13 oz (0.145 kg) at a velocity of 95.0 mph (42.5 m/s). using the correct si units, calculate the kinetic energy of the baseball
The kinetic energy of the baseball thrown by the pitcher is 103.8 Joules.
Th kinetic energy of any moving body is given by,
K = 1/2mv²
Where,
K is the kinetic energy,
m is the mass of the body,
v is the speed of the body.
Here, the mass of the baseball is given to be 0.145 kg and the speed of the baseball is given to be 42.5 m/s.
Putting all the values accordingly,
K = 1/2(0.145)(42.5)²
K = 1/2 x 0.145 x 1806.25
K = 103.8 Joules.
So, the kinetic energy of the baseball is 103.8 Joules.
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a car on high way travlled for 5m, driving force is 500n, friction is 500n. what is the net force , what is the total work done. how much kinetic energy will the car gain?. enter number only, no unit.
The net force = 0
The total work done = 0
Kinetic energy = Constant
What happens when the net force is zero?An object with zero net force will either remain stationary if initially stationary or maintain a constant velocity. While the net force on an object is zero, its velocity and direction of motion remain unchanged (an object at rest remains at rest).
Net force = Force - Friction
Fₙ = F₀ - Fₓ
Fₙ = 500N - 500N
Fₙ = 0 N
Since F = ma
ma = 0 N
a = 0
If acceleration is zero then the car is moving with a constant velocity.
Work done = force x distance covered in the direction of the force
W = Fₙ × d
W = 0 × 5 m
W = 0
K.E. = 1/2 mv²
Since the velocity is constant, the kinetic energy is also constant. The net work will be zero because the system has no net power. Nevertheless, potential energy increases with constant kinetic energy.
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I need help with question 1
Answer:
V = 140 km/h
Explanation:
Velocity is the change in position over time.
We can use the equation V = Δx / t
Note that V is the average velocity.
We are given Δx and t. Lets solve for V.
[tex]V=\frac{540}{4}[/tex]
[tex]V=140[/tex]
[tex]\frac{km}{hour}[/tex]
V = 140 km/h
how do we perceive different wavelengths of light? (hint: frequency is to pitch as wavelength is to )
Using the visual spectrum, we can distinguish between various light wavelengths.
What is visual spectrum?The region of electromagnetic spectrum which the human eye can see is known as the visible light spectrum. This group of wavelengths is more commonly referred to as visible light. The range of wavelengths that the human eye can typically have seen is 380 to 700 nanometers.The colors of the rainbow are represented by the various visible light wavelengths: red, orange, yellow, green, blue, indigo, and violet. Red light has the greatest wavelengths (around 700 nanometers), whereas violet light has the shortest wavelengths (380 nanometers).The visible wavelengths span a region between 0.4 and 0.7 m. Red has the longest visible wavelength, whereas violet has the shortest. The following table lists the typical wavelengths of the visible spectrum, which correspond to the specific colors we can see.To learn more about visual spectrum refer to :
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coherent light of wavelength 690 nm falls on two very small slits and produces an interference pattern on a screen 2.6 m away. on this screen, the thrid order bright firnge is 38 mm from the central bright fringe. what is the lsit separation
The separation between two similar points (adjacent crests) in two cycles of a waveform signal traveling across space or along a wire.
What is an example of a wavelength?Here are some wavelength examples: Yellow Light is a prime example. The wavelength range of all visible light is 400 to 700 nanometers (nm). The wavelength of yellow light is 570 nanometers or such. Wavelength (nm)
The Attempt at a Solution
My givens are: λ = 690nm L= 2.6m x438mm using equation x=L(
I got: 0.038 = 2.6m(690 x 10-9(4)/d) d=2.6m(690 x 10-9(4)/d)/0.038)= 1.4x10-4m
0.038 = 2.6m(690 x 10-9(4)/d) d=2.0m(690 x 10-9(4)/d)/0.038)= 1.4x10-4m
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why the heliocentric theory of the solar system came to be regarded as preferable to the geocentric theory
Copernicus adopted the heliocentric view because it better explained the movements of the heavens mathematically.
Copernicus' heliocentrism could eliminate Ptolemy's epicycles because retrograde motion could be seen as the result of a combination of Earth and planetary motions and velocities.
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Question 16 Which of the following is NOT a way to speed up a chemical reaction? (Select all that apply) b C decreasing the surface area of one of the reactants increasing the concentration of one of the reactants decreasing the temperature of one of the reactants increasing the temperature of one of the reactants
The following which is not a way to speed up a chemical reaction include the following below:
Decreasing the surface area of one of the reactantsDecreasing the temperature of one of the reactants.What is Temperature?This is defied as the degree of hotness or coldness of a substance and it is determined by thermal energy.
In a chemical reaction, the speed can be increased by increasing the surface area and the temperature because it leads to the collision of more atoms in other to form the product which was why options A and C were chosen as the correct choices.
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Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
Fitness Log
What steps can you take in your everyday life to properly care for your skeletal system? (Site 1)
Incorporating physical activity into your everyday routine is one approach to care for your skeletal system.
Walking, running, and climbing stairs are all weight-bearing workouts that can help you grow strong bones and reduce bone loss. Substance misuse should be avoided.
What is the skeletal system?The human skeleton is the body's internal framework. It is made up of around 270 bones at birth, which lowers to approximately 206 bones by adulthood as certain bones fuse together.
It is to be noted that the skeleton's bone mass accounts for around 14% of total body weight and achieves maximal density around the age of 21.
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Special effects experts want the largest explosion that is safe for the people on set. Knowing that the energy of a wave is proportional to its amplitude squared helps them mathematically model the energy of the explosion and the amplitude of the blast wave. How does this knowledge help them determine where to place the actors and crew?
what is the initial current? (b) what is the rc time constant? (c) what is the current after one time constant? (d) what is the voltage on the capacitor after one time constant?
(a) Initially, the capacitor acts just like a wire:
I = V/R
=6.16/480
= 0.01283 A
= 12.83 mA
(b) Time constant = R*C
= (480) * (1.5*10^-6)
= 7.2*10^-4 s
(c) The voltage across R = Total voltage - voltage across c
= 6.16 - 3.89
= 2.27 V
(d) Voltage across R/R
= 2.27 / 480
= 4.73*10^-3 A
= 4.73 mA
Answer: 4.73 mA
A resistor-capacitor circuit is an electrical circuit consisting of passive components such as resistors and capacitors driven by a current or voltage source. Capacitors store energy and resistors in the circuit control the rate of charging or discharging. The frequency variation of RC/IC circuits is defined as the frequency of the signal flowing through the circuit. Also called natural frequency. An RC circuit is a circuit in which a resistor and a capacitor are connected in series.
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general questions: in order to lift a bucket of concrete, you must pull up harder on the bucket than the bucket pulls down on you.
In order to lift a bucket of concrete, you must pull up harder on the bucket than the bucket pulls down on you this statement is true.
What is meant by newtons law?According to Newton's first law, unless pushed to alter its condition by the operation of an external force, every object will continue to be at rest or in uniform motion in a straight line. Inertia is the propensity to resist changes in a condition of motion.
The motion of an item is related to the forces operating on it by Newton's equations of motion. According to the first law, until a force acts on an item, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration.
Newton's first law states that unless a net external force acts on an object, it will either remain at rest or continue moving at a constant speed.
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a 44 kg package is dropped by a parachute out of an airplane. what is the terminal speed of the package if the parachute has an area of 25 square meters. (use air density, p= 1.2kg/m^3
Terminal velocity of the package is 5.16 m/s
When the object's drag force is equal to the gravitational force then it experiences zero acceleration and so the velocity remains constant. Such constant velocity is called as terminal velocity.
Drag force is a kind of frictional force that opposes the flow of motion.
Mathematically drag force F = [tex]\frac{1}{2}[/tex]ρA[tex]v^{2}[/tex]
ρ = density of the package = 1.2 kg/[tex]m^{3}[/tex]
A = 25 [tex]m^{2}[/tex]
v = terminal speed
Also Force is the product of mass and acceleration
Mathematically F = ma
where
m = 44 kg
a = 10 m/[tex]s^{2}[/tex]
Therefore, F = 44 * 10 = 400 N
Putting value of F in the drag force equation we get,
400 = [tex]\frac{1}{2}[/tex]ρA[tex]v^{2}[/tex]
400 = [tex]\frac{1}{2}[/tex] * 1.2 * 25 * [tex]v^{2}[/tex]
[tex]v^{2} = \frac{400*2}{1.2 * 25}[/tex]
[tex]v^{2} = \frac{800}{30}[/tex]
v = [tex]\sqrt{26.66}[/tex]
v = 5.16 m/s
The terminal speed of the package if the parachute has an area of 25 [tex]m^{2}[/tex] is 5.16 m/s.
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a lens of focal length 25 cm is placed 50 cm from an object. on the opposite side of the lens, at a distance of 100 cm, is a concave mirror with a curvature radius of 20 cm. where is the final image formed?
The image is formed at the distance 50/3 from the concave mirror .
What is meant by concave mirror ?The reflective surface of a concave mirror is curved inward and away from the light source. Concave mirrors focus light inward to a single focal point. In contrast to convex mirrors, the image formed by a concave mirror changes depending on the distance between the object and the mirror.
Given ,
In concave lens
focal length f =+25
object distance u =20cm
Using lens formula, we have
1/f=1/v-1/u
1/25=1/v-1/20
1/v=1/20-1/25=2-1/25 =1/25
v = 25 cm
Now, for concave mirror, we have
Focal length, f= R/2=25/2 = 12.5 cm
Object distance, u=+(25−50) cm= -25 cm
Using mirror formula, we have
1/f=1/v + 1/u
1/v = 1/12.5 - 1/-25 = 5-2/50 = 3/50
v = +50/3
Therefore the image is formed at the distance 50/3 from the concave mirror
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what is the speed of the 0.100 kg sphere when it has moved 0.400 m to the right from its initial position?
6.01 × 10⁻⁵ m/s is speed of 0.100 kg sphere when it has moved 0.400 m to right from its initial position.
What is conservation of energy?The conservation of energy principle states that in a closed system, the energy of interacting objects or particles remains constant. Kinetic energy, sometimes known as the energy of motion, was the first type of energy to be identified. The sum of the kinetic energy of the particles before collision and the sum of the kinetic energy of the particles after collision are equal in some particle collisions, known as elastic collisions. Progressively, more types of energy were added to the definition of energy.
We have from the conservation of energy,
[tex]E_{i}[/tex] = [tex]E_{f}[/tex]
[tex]E_{i}[/tex] = [tex]\frac{-G(5*0.1)}{0.4}[/tex] - [tex]\frac{G(10*0.1)}{0.6}[/tex]
[tex]E_{i}[/tex] = [tex]\frac{-G(5*0.1)}{0.8}[/tex] - [tex]\frac{G(10*0.1)}{0.2}[/tex] + 1/2 × 0.1v²
∵ [tex]E_{i}[/tex] = [tex]E_{f}[/tex]
= 1/2 × 0.1 × v² = G (5×0.1) (1/0.8 - 1/0.4) + G (10 × 0.1) (1/0.2 - 1/0.6)
∴ v = 6.01 × 10⁻⁵ m/s
Speed of the object moved from its initial position is 6.01 × 10⁻⁵ m/s.
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the spectrum of a very distant galaxy shows features due to carbon, silicon, and sulfur. the presence of these elements in the spectrum tells astronomers that
The spectrum of a very distant galaxy shows features due to carbon, silicon, and sulfur. the presence of these elements in the spectrum tells astronomers that the galaxy must have had an entire generation of stars that was born, lived, and died.
Absorption lines, not emission lines, were discovered in investigations of the Sun's spectrum (dark lines against the brighter continuum). Until Gustav Kirchhoff revealed in 1859 that the same substance can either create emission lines (when a hot gas emits its own light) or absorption lines, the precise origin of these "Fraunhofer lines," as we now refer to them, was unknown for a long time (when a light from a brighter, and usually hotter, source is shone through it). With that finding, spectroscopy became a viable method for analyzing the chemical makeup of stars.
Chemical elements can be found in other things besides stars. We can search for the signatures of elements in any spectrum from any object. Nebula and supernova leftovers are among.
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Consider a relation representing the present position of molecules in a closed container. The attributes are an id for the molecule, the x, y, and z coordinates of the molecule, and its velocity in the x, y, and z dimensions. What fd’s would you expect to hold? what are the keys?.
The following are some examples of the functional dependencies that can be held:
PX, PY, and PZ →VX
PX, PY, and PZ →VY
PX, PY, and PZ →VZ
Define functional dependence.Functional dependency is a term that describes a constraint that is usually used to explain the link between two (2) different sets of attributes, where one set may predict the true value of the other attributes accurately and uniquely.
The coordinates of the molecule in this example would be PX, PY, and PZ, while the velocities of those coordinates would be VX, VY, and VZ. Functional dependencies can so be illustrated by the following examples:
PX, PY, and PZ → VX
PX, PY, and PZ → VY
PX, PY, and PZ → VZ
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if you swing a bucket of water fast enough in a vertical circle, at the highest point the water does not spill out because an outward force balances the pull of gravity on the water. if you swing a bucket of water fast enough in a vertical circle, at the highest point the water does not spill out because an outward force balances the pull of gravity on the water. true false
We must understand both inertia and gravity to find a solution.
What is inertia?
The matter has an attribute called inertia that makes it resist changes in velocity (speed and direction). Newton's first law of motion states that an object moving at a certain speed will stay there unless an outside force acts upon it.
What is gravity?
A planet or other body's gravitational field pulls objects toward its center. The force of gravity is what keeps every planet in its orbit around the sun.
A vertical circle spun while holding a bucket full of water prevents the water from spilling out due to inertia.
Keep the bucket in place as the water tries to fly off.
Therefore we can conclude that it is false.
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how far from the lens should you hold the print to see a final virtual image 30 cm from the lens (at the eye's near point)?
m= near point/ s.
s=4.28 cm ( the distance of the contract from the magnifying glasses)
Near point = 30cm
so m= 30/4.28= 7
Thus, far from the lens should you hold the print to see a final virtual image 30 cm from the lens (at the eye's near point) is 7
which person below discovered that the orbits of planets are ellipses? which person below discovered that the orbits of planets are ellipses? copernicus ptolemy tycho brahe kepler galileo
The scientist that discovered that the orbit of planets are ellipses is johannes Kepler. That is option E.
What is elliptical planet?Elliptical planets are those planets that are not round in shape but are ellipses which is the shape of a circle that has been stretched in one direction as seen with oval shape.
The scientist johannes Kepler, who is also a mathematician discovered that orbits of planets are elliptic in shape through his work on planet orbits.
He successfully proved this through his three laws of planetary motion that include the following:
The first law: The planets move in elliptical orbits with the Sun at one focus.The second law: The time necessary to traverse any arc of a planetary orbit is proportional to the area of the sector between the central body and that arcThe third law: There is an exact relationship between the squares of the planets’ periodic times and the cubes of their mean distances from the Sun.Learn more about planets here:
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a hoop with a radius r and a mas m has a momentum of inertia i. what would be the moment of inertia of a second hoop with the same radius but twice the mass?
The momentum of inertia of second hoop will be twice of first hoop
The moment of inertia of a hoop will be = m[tex]r^{2}[/tex]
first hoop:
radius = r1
mass = m1
inertia = I1 = m1[tex]r1^{2}[/tex]
second hoop
radius = r2 = r1
mass = m2 = 2m1
inertia = I2 = m2 * [tex]r2^{2}[/tex]
= 2m1 [tex]r1^{2}[/tex] = 2 I1
The momentum of inertia of second hoop will be twice of first hoop
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the top of a ladder slides down a vertical wall at a rate of 0.15 mys. at the moment when the bottom of the ladder is 3 m from the wall, it slides away from the wall at a rate of 0.2 mys. how long is the ladder?
The length of the ladder which is placed 3 meters from the wall is 5 meters
The rate of the change of ladder decreasing in vertical wall = - 0.15 m/s
The distance between the bottom of the ladder and the wall = 3 meter
The rate of change of the bottom of the ladder away from the wall = 0.2 m/s.
The length of the ladder can be found using the Pythagoras theorem,
x² + y² = L²
where x is the distance between the bottom of the ladder and the wall
y is the distance from the top of the ladder to the bottom of the wall.
L is the length of the ladder
Let us differentiate in terms of the rate of change in the above equation,
2x dx/dt + 2y dy/dt = 0
Now let us substitute the known values,
2(3)(0.2) + 2y(-0.15) = 0
1.2 - 0.3y = 0
0.3y = 1.2
y = 1.2 / 0.3
= 4
Then, the length of the ladder is
3² + 4² = L²
9 + 16 = L²
L = √25
L = 5
Therefore, the length of the ladder is 5 meters
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the movement of sand parallel to the shore: question 3 options: is created by waves approaching at an oblique angle to the shoreline. is achieved by longshore currents, causing longshore drift. is caused by deep ocean currents. none of these choice are correct.
It is the oblique angle of the waves breaking on the beach that causes longshore drift, which is the movement of sand parallel to the shore. The development of cavities on the coast, like bays and deltas, can be filled in by this phenomenon, causing the beach to cross into the mainland. Spits are narrow, outgrowths of the beach. A barrier island is formed when a storm, such as a hurricane, cuts inward through the spit.
Beaches formed along the low coastal plains during the last eras when sea levels were lower. Large dune ridges of beach sand were piled up in a shoreward direction. The coastal plains became inundated due to a rise in sea levels caused by the melting ice caps. The crests of the submerged dunes offshore eventually formed the island's heart. The dune ridges were later reshaped and enlarged into a barrier island by wave action and longshore drift.
The coastlines that the aforementioned islands protect are less likely to be damaged/disturbed by waves and storms. Barrier island beaches are not heavily secured, so storm waves can easily crash into them. The side of the land of a barrier island is where most of the action is, even though beaches and dunes tend to get the most attention.
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What is work and give an example?
5. the location and gimbal limits of the flir sensor prevent the p* from seeing the terrain directly beneath the aircraft. what must the p* do prior to conducting a landing from a hover?
Your ability to land safely is the primary prerequisite in order to protect your passengers and people on the ground.
Explain about the gimbal?
In the same way as a tripod would if you were shooting a picture or remained in one place while taking it, a gimbal employs sensors and motors to stabilize and support your camera.
The majority of contemporary rockets, including the Space Shuttle and the Saturn V moon rocket, employ a technique known as gimbaled thrust. The rocket's exhaust nozzle can be moved in either direction when using a gimbaled thrust system. In relation to the rocket's centre of gravity, the thrust direction changes when the nozzle is moved.
When using Euler angles in applied mathematics, the gimbal lock problem arises; creators of 3D computer programmes, such as 3D modelling, embedded navigation systems, and video games, must take care to avoid it.
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