Using a set of pulleys, Diana hoists a piano weighing 1000 N. To draw in 20.0 m of rope, she applies 250 N of force. The separation is 5m.
given,
Load force = 1000 N
Effort distance = 20.0 m
Effort force=250N
If this were an ideal machine, we could calculate the force Diana applied as follows:
The equation that follows links load force to effort force for a perfect machine;
Effort force × effort distance = Load force × Load distance
When we enter the parameters into the formula, we get;
Load distance = Effort force × effort distance/Load force
=250×20/1000
= 5 m
Load distance = 5 m
In mechanics, force is any action that tends to maintain or alter the motion of a body or distort it. The concept of force is commonly explained in terms of Isaac Newton's three laws of motion, as stated in his Principia Mathematica (1687). Newton's first principle states that a body at rest or moving at a uniform rate in a straight line will remain in that state until some force is applied to it. The second law states that when an external force acts on a body, it causes an acceleration (change in velocity) of the body in the direction of the force.
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If the work done to move a toy car by a force of 20N is 60J how far did the car move?
Answer: Distance = 60 J / 20 N = 3 meters. So the car moved a distance of 3 meters.
Explanation: To determine how far the car moved, you need to know how long the force was applied. The equation for work is work = force * distance, so if you know the force and the work, you can solve for the distance. In this case, you know that the force applied was 20 N and the work done was 60 J, so you can calculate the distance by rearranging the equation to solve for distance: distance = work/force. Plugging in the values, you get distance = 60 J / 20 N = 3 meters. So the car moved a distance of 3 meters.
Important Formulas:
[tex]w=Fd[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
__________________________________________________________
Given:
[tex]w=60J[/tex]
[tex]F=20N[/tex]
[tex]d=?[/tex]
__________________________________________________________
Rearranging formula to make distance the subject:
[tex]w=Fd[/tex]
[tex]\dfrac{w}{F} =\dfrac{Fd}{F}[/tex]
[tex]d=\dfrac{w}{F}[/tex]
__________________________________________________________
Finding distance:
[tex]d=\dfrac{w}{F}[/tex]
[tex]d=\dfrac{60}{20}[/tex]
__________________________________________________________
[tex]\fbox{d = 3 meters}[/tex]
Why is copper wire a better conductor of electricity than carbon fiber? (1 point)
A) Carbon (C) does not have any valence electrons.
B) Copper (Cu) is a metal, and only metals can conduct electricity.
C) The electrons in copper (Cu) are loosely bound to the nucleus.
D) Copper (Cu) has no loose electrons.
The copper wire a better conductor of electricity than carbon fiber because copper (Cu) is a metal, and only metals can conduct electricity option - B is correct answer.
Why does copper behave better as an electrical conductor?A metal has greater electrical conductivity the lower its resistivity level. And copper wire is an excellent electrical conductor because it has a low level of resistivity. Incredibly flexible is another quality of copper.
Carbon fiber still does not conduct electricity as well as metal, even after being treated with other materials. Though still about 100 times faster than carbon fiber treated with good electricity conductors, metals like silver, aluminum, and copper are particularly good at conducting electricity.
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Answer:
1. The electrons in copper (Cu) are loosely bound to the nucleus. (C.)
2. An electrical current that flows in one direction (D.)
3. aluminum (Al) (D.)
4. Opposite charges attract one another. (D.)
5. Atoms with a nearly empty valence shell make good conductors. (C.)
Explanation:
I did the Connections Academy test (Conductors and Insulators Quick Check)
A dedicated PV system circuit breaker, suitable for backfeed and positioned at the opposite end of the bus from the ______, is a requirement of NEC 705.12(B).
A dedicated PV system circuit breaker, suitable for backfeed and positioned at the opposite end of the bus from the main circuit breaker, is a requirement of NEC 705.12(B).
What is a circuit's straightforward definition?A completed circular conduit through which electricity flows is known as a circuit in electronics. A simple circuit includes a current provider, conductors, and a load. The term "circuit" can broadly be used to describe any ongoing path via which electricity, information, or a signal might go.
Why are circuits essential?A channel for the transfer of electric current is known as an electric circuit. Electric energy is transferred to components that transform it into various types of energy that can perform work, such as supplying power to light, appliances, and other devices, when electrical current flows across a circuit.
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Two spherical objects have masses of 8,000 kg and 5.0 kg. Their centers are separated by a distance of 1.5 m. Find the gravitational attraction between them.
The gravitational force of attraction between them is 3.56 * 10⁻⁴ N
What is Gravitational attraction?F = G*M1M2/d²,
where G = 6.67 * 10⁻¹¹ Nm²Kg⁻²,
M1 = 8000Kg and M2 = 1500 Kg,
F = 6.67 * 10⁻¹¹ * 8000 * 1500 / (1.5)² F = 3.56 * 10⁻⁴ N
The gravitational force of attraction between them is 3.56 * 10⁻⁴ N.
The universal gravitational law of Newton. According to this law, every body in the universe is attracted to every other body with a force that is inversely proportional to the square of the distance between them and proportional to the product of their masses.
Therefore, The gravitational force of attraction between them is 3.56 * 10⁻⁴ N.
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How do you calculate sound intensity level?
Sound intensity level (SIL) is measured in decibels (dB).
What is sound?
Sound is a type of energy created by the vibration of particles in a medium, such as air, that can be heard when it reaches a person or animal's ear. Sound can travel through solids, liquids, and gases, and can have different pitches and volumes.
Sound intensity level is defined as the ratio of the sound pressure to a reference pressure level. It is calculated using the following equation: SIL (dB) = 10 log10 (I/I_0), where I is the sound intensity and I_0 is the reference sound intensity equal to 10^−12 W/m^2.
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Two students have volunteered to explore the galaxy in a spaceship. As they travel through space, they measure the magnitude of the gravitational force between their spaceship and the earth they find that the gravitational force on the spaceship is-
The gravitational pull on the spacecraft is discovered to be inversely proportional to the distance from the Earth.
If the gap were cut in half, the gravitational attraction would be more powerful. According to Coulomb's rule, the gravitational force between any two things in the universe is inversely proportional to the sum of their respective masses.
The gravitational force between two things in the cosmos is calculated as being inversely proportional to their distance from one another. Gravity is the force that holds two bodies together, body present or not.
A force that is directly inversely correlated to the square of the distance between bodies and directly inversely correlated to their product draws every body in the universe toward every other body.
Thus , Inversely related to the separation from the Earth.
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After seeing the fur rubbed with the rod attract the neutral paper, imagine you had an instrument that lets you zoom in enough to see what the paper and rod are made of. Draw a model that shows what happens to the neutral paper to cause it to move towards the charged rod. Make sure to label everything in your model
Seeing the fur rubbed with the rod attracts neutral paper, this happens because the friction of the rod with the rubbed can produce a static electric force. It is this static electric force that causes the pieces of paper to be attracted and rod up.
If the rod or ruler has been rubbed into the hair, then brought closer to the paper, then the paper will lift and stick. Indeed, this can happen due to the presence of an electric charge. When you rub a plastic ruler over your hair, it becomes electrically charged, causing the paper to pull and stick.
The electric charge consists of two types of charge, namely negative charge, and positive charge. However, some objects have an equal amount of negative charge and positive charge. Objects that have the same amount of positive and negative charges are called neutral objects. Initially, a plastic ruler is also an electrically neutral object.
When you rub the ruler against dry hair, it gets an electric charge, because of that electric charge the plastic ruler can exert a force on the paper and pull it closer.
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A bicyclist maintains a constant velocity of
4. 0 m/s for a distance of 480 m. How long does it take the bicyclist to travel this distance?
A8s
B 120s C 476s D 1920s
The bicyclist will need to ride for a total time of 120 seconds in order to cover 480 meters of distance at a constant velocity of 4.0 meters per second.
In this scenario, we are provided with:
The distance of the ride is 480 meters.
The velocity is four meters per second
In order to calculate the time, we can use the following formula:
Time = Distance : Velocity
= 480 meters : 4.0 meters per second
= 120 seconds
Therefore, the amount of time a cyclist needs to travel would be 120 seconds.
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10 points!
Which measuring tool should be used to measure the length of a marble track?
graduated cylinder
spring scale
metric ruler
stopwatch
Answer:
metric ruler
Explanation:
it counts legnth
A 2.5-kg cart is rolling along a frictionless, horizontal track towards a 1.3-kg cart that is held initially at rest. The carts are loaded with strong magnets that cause them to attract one another. Thus, the speed of each cart increases. At a certain instant before the carts collide, the first cart's velocity is 4.6 m/s, and the second cart's velocity is -1.8 m/s. (a) What is the total momentum of the system of the two carts at this instant
The required total momentum of the system at this instant is calculated to be 9.16 kg m/s.
Given that,
Mass of the first cart, m₁ = 2.5 kg
Mass of the second cart, m₂ = 1.3 kg
Velocity of the first cart before collision, u₁ = 4.6 m/s
Velocity of the second cart before collision, u₂ = -1.8 m/s
The total momentum of the system before collision is calculated as follows,
P t = P₁ + P₂
P t = m₁ u₁ + m₂ u₂ = 2.5 × 4.6 + (1.3 × -1.8) = 11.5 - 2.34 = 9.16 kg m/s
Thus, total momentum of the system of the two carts at this instant is 9.16 kg m/s.
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To protect yourself from being electrocuted by contact with overhead power lines, you should always assume overhead lines are energized and keep yourself and equipment and at least ________ away from power lines up to 50KV
Keep equipment and yourself at least 10 feet away from power lines carrying high voltage up to 50KV.
Which of the following components of PPE can guard against electrocution?Safety glasses, face shields, hard hats, insulated boots, rubber gloves with leather protectors, insulating sleeves, and fire clothing are among the personal protective equipment (PPE) that must be worn when working near power lines depending on the job task. This lowers the risk of electrocution.
Which power line safety precautions are recommended?Assume that overhead electricity wires are active and keep a minimum of 10 feet away from them. When operating close to power lines, de-energize and ground them. When working close to electricity lines, use fiberglass or wood ladders that are non-conductive.
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Which causes the biggest problem in detecting infrared photons from an astronomical object?
a. smog
b. carbon dioxide
c. water vapor
d. light pollution
The correct option is C ; Water vapor , Water vapour is water that is gaseous rather than liquid. It can be generated by either evaporation or sublimation.
Water vapour, unlike clouds, fog, or mist, which are just suspended particles of liquid water in the air, cannot be seen since it is in gaseous form.
Water vapor has the same chemical formula as regular water - H2O - but the water molecules in vapor interact with each other less and are not as organized as they are in water and ice. Pressure, temperature, and relative humidity all influence whether water is liquid or gas.
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someone help!!
What is speed? the distance an object will move the ability of an object to move the measure of force required to move something the time it takes an object to go a cert
Answer:
Speed is the measure of how fast something moves
Explanation:
What is the equation for torque used for lever arm and F for force?
The required equation for torque used for lever arm r and F for force is given as τ = |r| |F| sinθ.
A simple way to calculate the magnitude of the torque is to first determine the lever arm and then multiply by the times of applied force.
The lever arm is described as the perpendicular distance from axis of rotation to the line of action of force.
The equation used to calculate torque is , τ = r × F = |r| |F| sinθ
where,
r is the magnitude of lever arm
F is the magnitude of force vector
θ is the angle between lever arm and force vectors
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If a dolphin is producing a vocalization with a frequency of 35 Hz, traveling at 1,470 m/s, what is the wavelength of the soun
According to the equation wavelength = speed/frequency, the dolphin's sound has a 42 m wavelength.
What does wavelength mean?The distance between two identification based (consecutive crests) in adjoining cycles of a waveform signal as it travels across space or along wire is known as its wavelength. In wireless systems, this length is frequently specified in metres (m), centimetres (cm), or millimeters (mm). The numbers of times per second that a sound waves wave repeats is its frequency, which is often referred to as its pitch.
Given data -
speed = 1,470 m/s
frequency = 35 Hz
wavelength = speed / frequency
wavelength = 1,470 / 35
wavelength = 42 m.
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A particular power source creates electricity through the use of giant magnets that are rotated to create a flow of electrons. This electricity is then directed:
This electricity is then directed from the electric generator to electric outlets in homes
A power source that creates electricity through the use of giant magnets that are rotated to create a flow of electrons is called a generator. Generators use the principle of electromagnetic induction to convert mechanical energy (rotational energy of the magnets) into electrical energy.The electricity generated by the generator is then directed through electrical transmission lines to a substation, where it is transformed to a higher voltage level for long-distance transmission. Then it is distributed to homes and businesses through power lines and transformers.
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Two ropes are tied to a steel ring, and a student holds the free end of each rope. The students then pull on the ropes in a tug-of-war. If the forces exerted by the students are unbalanced, what happens to the ring ?
A. The ring remains at rest.
B. The ring moves at a constant velocity.
C. The ring accelerates in the direction of the net unbalanced force.
D. The ring accelerates in the direction opposite the net unbalanced force.
The ring accelerates in the direction of the net unbalanced force. Thus option C is the correct answer.
According to Newton's second law of motion, the net force acting on an object is equal to the mass of the object multiplied by its acceleration. If the forces exerted by the two students in the tug-of-war are unbalanced, there will be a net force acting on the steel ring.
The direction of this net force will be in the direction of the stronger force. As a result, the ring will accelerate in the direction of the net unbalanced force. This means that the ring will begin to move, and its velocity will change as long as the net force is applied.
Since the steel ring is accelerating, it can no longer be at rest, and it will not move at a constant velocity. The ring will move in the direction of the stronger force until the forces exerted by the students are balanced again.
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Position Collisions
Scenario 1: Fatima and Alberta are playing catch. Fatima is standing at
the door, while Alberta is standing 8m away to the right. Fatima throws a
paper ball to the right with a speed of 2.4m/s. Alberta realizes that she is
to far away and runs to the left at 0.6m/s. When and where will Alberta meet
the paper ball?
Answer:
t = (x_ball + 8 ) / 0.6
Explanation:
To solve this problem, we can use the equations of motion for the paper ball and Alberta, and then set them equal to each other to find the time and position where they will meet.
The equation of motion for the paper ball is:
x = x0 + v0t + (1/2)at^2
where x is the position of the paper ball, x0 is the initial position (the door), v0 is the initial velocity (2.4 m/s to the right), t is the time, and a is the acceleration (which is 0 for a thrown ball).
The equation of motion for Alberta is:
x = x0 + v0t + (1/2)at^2
where x is the position of Alberta, x0 is the initial position (8 m to the right), v0 is the initial velocity (-0.6 m/s to the left), t is the time, and a is the acceleration (which is 0 for a person running).
If we set these two equations equal to each other, we get:
x_ball = x_alberta
x0 + v0t + (1/2)at^2 = x0 + v0t + (1/2)at^2
This simplifies to:
x_ball = x_alberta
Then we know that both x_ball and x_Alberta are the same point in space (where Alberta met the paper ball)
Now to find time, we need to use one of the original equation for time t. Using equation of motion for Alberta,
x_Alberta = x0 + v0t
So, t = (x_Alberta - x0) / v0
t = (x_ball - 8 ) / (-0.6) = (x_ball + 8 ) / 0.6
The negative sign of velocity of Alberta tells that she is running towards left whereas ball is thrown towards right.
So we can find time and position where Alberta will meet the paper ball by plugging in the specific distance (x_ball) and known values for x0, v0 and acceleration.
o, the point at which we lose awareness of the intervals and begin to see apparent motion seems to kick in at around ________ frames per second. 16 - 20
The point at which we lose awareness of the intervals and begin to see apparent motion seems to kick in at around 8 - 12 frames per second.
What is frames per second?The frequency (rate) at which consecutive images (frames) are captured or displayed is known as frame rate and is expressed in frames per second (FPS). The phrase is equally applicable to motion capture devices, computer graphics, and film and video cameras.
Frame frequency, also known as frame rate, is measured in hertz. Frame rate in electronic camera specifications may refer to the highest possible rate, whereas in practise, other settings (like exposure time), may reduce the frequency to a lower number.
Individual differences exist in both the type and properties of the visual stimulus as well as the temporal sensitivity and resolution of human vision. The human visual system can process 10–12 images per second, each of which is perceived individually; higher rates are interpreted as motion.
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What does the second law of thermodynamics tell us about?
Explanation:
The Second Law of Thermodynamics states that the state of entropy of the entire universe, as an isolated system, will always increase over time. The second law also states that the changes in the entropy in the universe can never be negative.
If the current carried by a conductor is doubled, how are each of the following affected?
(a) The charge carrier density- ____ (b) The current density____ (c) The electron drift velocity ____
(d) The average time interval between collision____ is halved. is quartered. is unchanged
doubles
triples
quadruples.
(a) The charge carrier density doubles,(b) The current density doubles, (c) The electron drift velocity doubles, (d) The average time interval between collision halved.
I = nq[tex]v_{d}[/tex]A
where n is the charge/volume
I is the current.
q is the charge per carrier
[tex]v_{d}[/tex] is the drift velocity of the charge carriers
A is the cross-sectional area of current flow
Here,
a) The charge carrier density (n) doubles if I doubles.
b) The charge carrier density (J = I/A is the current density). If I doubles, J doubles.
c) The electron drift velocity ([tex]v_{d}[/tex]) doubles if I doubles.
d) The average time interval between collisions depends inversely on [tex]v_{d}[/tex]. If I doubles, [tex]v_{d}[/tex] doubles, so the average time between collisions is halved.
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Draw the phasor for the emf = (170 V) cos ((2pi*60 Hz)t) at t = 60 ms. Tail at the origin.
Answer:
9798687564=-=-=97858
Explanation:oy 8gyf86 r = 76y
What theorem is presented based on the structure of the baseball field?
Pythagorean Theorem to determine the gap between second base and home plate.
Explain the pythagorean theorem.The Pythagorean theorem and the coordinates of the two locations are used in the distance formula to determine the distance between them. The formula below can be used to determine the length of AB if A and B make up the hypotenuse of a right triangle: Leg2 plus Leg2 equals Hypotenuse 2.
measured from the middle of the backstop to the apex of home plate. Place second base in centre by drawing a line from the backstop's centre point over the pitcher's mound, through the apex. The distance that needs to be measured is between the centre of second base and the top of home plate.
The square root of (a,c)2 + (b,d)2 is used to calculate the distance between the points (a,b) and (c,d). The distance between points (a, b, c) and (d, e, f) in three dimensions is equal to the square root of (a, d), (b, e), and (c, f).
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Glands that excrete salt in the mangroves are examples of
Glands that excrete salt in the mangroves are examples of adaptions.
What is adaptions?The meaning of adaptation implies how a species changes its body and behaviour to better suit its natural environment. There are an estimated 8.7 million species currently living on earth. They are found across a wide and diverse natural environment, ranging from frozen and desolate Arctics to the sweltering sands of the Sahara.The natural environment is an ever-changing feature of planet earth. The process of adaptation ensures that the species which adapts the most, survive.Read on to explore plant and animal adaptations across the wide ranges of landscapes.In biology, adaptation has three related meanings. Firstly, it is the dynamic evolutionary process of natural selection that fits organisms to their environment, enhancing their evolutionary fitness. Secondly, it is a state reached by the population during that process.
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How do the overload and progression principles work together for strength training?
If you are exercising with a specific goal in mind, such as improved strength or cardio fitness. Exercise training's guiding principles include overload, recuperation, progression, reversibility, and specificity.
Your muscles will remain challenged and you'll get stronger if you change or advance your workouts.
To get the most out of any training programme, you must follow certain rules. You won't benefit much from your workouts if you don't adhere to these rules. Exercise training's guiding principles include overload, recuperation, progression, reversibility, and specificity. The concept of specificity is especially important if your exercise programme is designed to help you achieve a particular goal, like increased strength or improved aerobic fitness.
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Describe how you would find absolute pressure in a car tire if you had a barometer and a tire pump with an air
pressure gauge
The absolute pressure in a car tire can found by following method:
Pressure is the force per unit area applied toward a course perpendicular to the outer layer of an item. To keep it precise, it is an amount of force following up on a unit area. The SI unit for pressure is measured in Pascals (Pa). Other non-SI units are bar and PSI. There are two types of references to quantify pressure,
Gauge Pressure
Absolute Pressure
The most well-known pressure reference is Gauge Pressure which is connoted by a ‘g’ after the pressure unit, for example, 33 psi g. It is the pressure relative to barometric or atmospheric pressure; it is positive for pressures above atmospheric pressure and negative for pressures that are below atmospheric pressure. An Absolute pressure estimation is one that is alluded to as a perfect or an ideal vacuum. The best illustration of an absolute referenced pressure is the calculation of Barometric pressure. To deliver an absolute pressure sensor, one strategy is for a maker to seal a high vacuum behind the detecting diaphragm.Formula of Absolute pressure is given by:
p(a) = p(g) + p(atm)
Where ,
p(a) is absolute pressure,
p(g) is gauge pressure and
P(atm) is atmospheric pressure
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How does mass affect the heat that can be absorbed by a substance?
The mass of the material has no influence on specific heat because it is already a quantity represented per unit mass.
Casey Hudson, Drew Karpyshyn, and Preston Watamaniuk created the military science fiction media franchise Mass Effect. The franchise shows a distant future in which humans and many alien civilizations have conquered the known universe utilizing advanced predecessor civilizations' technologies.
The franchise began with a series of video games created by BioWare and released by Electronic Arts. Each iteration combines third-person shooting gameplay with role-playing features. The first three games comprise a trilogy in which the player character, Commander Shepard, strives to defend the Milky Way galaxy from the Reapers, a species of ancient, sleeping robots.
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The distance from the acoustic center of the source to the point at which the intensity of the direct sound equals that of the reverberant field describes
Critical distance is defined as the distance between the acoustic center of the source and the point at which the intensity of the direct sound equals that of the reverberant field.
The distance from a sound source when the direct energy (energy radiated straight from the source) equals the reverberant energy (radiated from walls, floor, and ceiling) is called critical distance. It can be said as the critical distance is the distance between the microphone and the sound source at which the level of room reverberation is equal to the level of the direct sound. Critical distance is considered an important factor in positioning loudspeakers and microphones.
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calculate the kinetic energy of a 50 kg object that is moving at a speed of 12 m/s
Hello there!
Answer:
3600 J
Explanation:
[tex]E = \frac{mv^2}{2}[/tex]
So m = 50 kg and v = 12 m/s then
[tex]E = \frac{50 * 12^2}{2} J = 3600 J[/tex]
Mass = 50 kg
Velocity = 12 m/s
FindThe kinetic energy of an object.
SolutionThe formula that is used to find the kinetic energy of an object is given by :
[tex]K = \frac{1}{2}mv^{2} \\K = \frac{1}{2} X 50 X 12^{2} \\K = \frac{1}{2} X 50 X 144[/tex]
Answer= 3, 600 JA helicopter blade spins at exactly 120 revolutions per minute. Its tip is 3.00 m from the center of rotation. (a) Calculate the average speed (in m/s) of the blade tip in the helicopter's frame of reference. m/s (b) What is its average velocity (in m/s) over one revolution
94.32m/s is the average speed (in m/s) of the blade tip in the helicopter's frame of reference.
What is the typical blade tip speed, measured in metres per second, when viewed from a helicopter perspective?We discover that the sub average is 73.3 metres per second after entering this formula into our calculator and finding it to three significant numbers. The helicopter blade tip travels at an average speed of that.
How quickly does the blade tip typically move?After one revolution, the blade point has moved nothing since it goes back to its original position. The average velocity is consequently zero.
FPM = RPM x . 262 x Blade Diameter (inches).
FPM = 120 x . 262 x 3.00 = 94.32m/s
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