What Fiona did, so her friend could find the stars was to give her friends knowledge about the contents of the sky, such as the shape of planets and stars. Then when you want to see the stars, you have to stay away from light pollution, so the stars can be seen clearly.
Stars are celestial bodies that emit light caused by nuclear fusion reactions that produce energy that occurs in their cores. It should be noted that 'pseudo stars' are not stars, but planets that reflect light from other stars and appear to glow in the sky like a star. A planet or planetary star is an astronomical body orbiting a star or stellar remnant that is massive enough to have its own gravity.
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An object i aid to be poitively charged if it number of electron i greater than the number of proton
An object I aid to be positively charged if it has a number of electrons i greater than the number of protons. TRUE
If an object has extra protons than electrons, then the internet fee on the item is fantastic. If there are extra electrons than protons, then the net charge at the item is bad. If there are equal numbers of protons and electrons, then the object is electrically impartial.
An electrical price is created while electrons are transferred to or removed from an object. because electrons have a bad charge, while they are added to an item, it turns negatively charged. when electrons are removed from an object, it will become undoubtedly charged.
A positively charged object has misplaced electrons. A definitely charged object has won protons. A negatively charged item has lost protons. If the variety of electrons is greater than the range of protons, the particle is a negative ion, also referred to as an anion.
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Disclaimer:- your question is incomplete, please see below for the complete question.
An object I aid to be positively charged if it has a number of electrons i greater than the number of a proton. TRUE/FALSE
what happens to the speed of a molecule when it hits an oncoming faster molecule? when it hits a receding one?
When it hits a receding one, its rebound speed is reduced.
What is the speed of the molecules?To compute a few more gas properties, the kinetic theory of gases is a little more expanded. It is discovered that the average velocity of a gas molecule is approximately the speed of sound. The pressure is caused by the gas molecules' collisions with the container's walls. The ideal gas model presupposes that the gas molecules are, on average, so far apart that they do not collide. The average separation between collisions (also known as the "mean free path") between gas molecule collisions will be determined.Diffusion, viscosity, and thermal conductivity are only a few of the properties of a gas that are influenced by molecular collisions. A fluid's "stickiness" is determined by its viscosity, while diffusion determines how quickly, for example, an ink drop spreads out in a glass of water. The application of the kinetic theory of gases will be illustrated with a straightforward formula for the diffusion coefficient.To learn more about speed of molecules, refer to
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for a slinky, the unstretched length is much shorter than the stretched length. suppose that the fundamental standing wave is oscillating on a slinky. how does the period of the standing wave change as the length of the slinky is altered?
Using the concepts of simple harmonic progression, we got that period of the standing wave changes directly proportional as the length of the slinky is altered.
We know very well that a standing wave traverse alternatively from crest to trough.
Crest is defined as that point when amplitude is maximum in positive y-direction and trough is defined as that point when amplitude is maximum in negative y-direction.
To traverse from crest to trough, a standing wave requires some time.
When the length of standing wave changes the time required by the standing wave also changes.
It means if we increase the length of slinky then the time required by the standing wave also increases and if we decrease the length of slinky then the time required by the standing wave also decreases.
Hence, when the fundamental standing wave is oscillating on a slinky, the period of the standing wave change directly proportional as the length of the slinky is altered.
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the speed of the incoming water is 30 cm/s and the cross-sectional area of the hose carrying the water is 3.0 cm2. 1) determine the time required for a 25-l container to be filled with water. (express your answer to two significant figures.)
The time required for a 25-L container to be filled with water is 277.7 min.
what is time?
Time is something that everyone is familiar with, but it is difficult to explain and comprehend. Time is defined differently in science, philosophy, religion, and the arts, but its measurement method is rather constant.
The time is measured in seconds, minutes, and hours. While the origins of these units have altered over time, they may be traced back to ancient Sumeria. The cesium atom's electrical transition defines the contemporary international unit of time, the second.
Given:
Incoming water speed (v) = 30cm/s
Hose area (A) = 2 cm²
volume of the container, V = 25 L = 25,000 cm³
The volumetric flow rate of the water is calculated as follows;
q=av
V/t=Av
T=V/Av
=25000/3x30
=25000/90
=277.7s
therefore the time required was 277.7 seconds
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at noon, ship a is 100 km west of ship b. ship a is sailing south at 35 kmh and ship b is sailing north at 25 kmh. how fast is the distance between the ships changing at 4:00 pm?
To calculate the distance between the ships by formulas.
What constitutes speed?
The speed at which a position of an object changes in any direction. Speed is defined as the ratio of distance travelled to the amount of time needed to cover that distance. Because it only has a direction and no magnitude, speed is a scalar quantity.
What is distance?
Distance is an object's overall movement, independent of direction. Distance can be described as the amount of ground that an object has covered, regardless of its starting or ending points.
Known dx/dt= 35km/h
dy/dt= 25km/h
dz/dt when x=(4.35)= 140km and
y=(4.25) = 100 km
( then =[tex]\sqrt{100^2 + 240^2}[/tex] = 260 km)
∴ 100^2 ( x+y)^2 = Z²
0+∂(x+y)(dx/dt+dy/dt)=∂z(dz/dt)
=∂(140+100)(35+25)=∂(260)(dz/dt)
dz/dt= 55.4km/h
Therefore, the distance between the ships is55.4km/h.
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a long solenoid that has 950 turns uniformly distributed over a length of 0.390 m produces a magnetic field of magnitude 1.00 10-4 t at its center. what current is required in the windings for that to occur? ma
current is required in the windings for that to occur is 32.67mA
N=950
L=0.390m
B=1.0×10⁻⁴
B=μ₀ni
n=N/L(number of turns per unit length)
i=current
μ₀=permeability of free space =4π×10⁻⁷mkgs⁻²A⁻²or4π×10⁻⁷Tesla-m/A
i=B/μ₀n
i=1.0×10⁻⁴×0.390/4π×10⁻⁷×950
i=32.67mA
Electric current is a flow of charged particles—such as electrons or ions—that moves through a conductor for electricity or into void space. It is measured by the net rate of electric charge passing through a surface or into a control volume. Moving particles, or charge carriers, can be any number of distinct kinds of particles depending on the conductor. The charge carriers in electrical circuits are frequently electrons moving down a wire. In semiconductors, they could be electrons or holes. Ions are the charge carriers in an electrolyte, and plasma, an ionized gas, is composed of both electrons and ions.
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what is the linear separation d at the retina? the minimum diameter of the pupil is about 2 mm, the eye is most sensitive to wavelengths of about 500 nm (air), the index of refraction of the aqueous humor is n
the linear separation d at the retina is 5.73micrometers
diameter=2mm
lambda=500nm
nair=1.33
d=2.5cm
alpha=1.22lambda/nd
=1.22(500x10^9)/(1.33)(2x10^-3)
=2.3x10^-4 rad
D=(2.3x10^-4)(.025)=5.73micrometers
The area of the eye that transforms light into neural signals is called the retina (Latin: rete, "net"). Most vertebrates and some molluscs have this innermost, light-sensitive layer of tissue in their eyes. A two-dimensional representation of the visual world is created on the retina by the optics of the eye (cornea and lens); some of the image is in focus and some of the image is out of focus. Visual perception is produced by the retina's processing of the image and the optic nerve's transmission of nerve impulses to the visual cortex. Similar to a camera's image sensor, the retina fulfills a purpose.
The neural retina is supported by an outer layer and is made up of numerous layers of neurons coupled by synapses.
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Thousands of small rocky objects are located in the solar system between mars and jupiter. These objects are.
Thousands of small rocky objects known as asteroids can be found in the solar system between Mars and Jupiter.
What exactly is a solar system?The Solar System is composed of the Sun and the objects that orbit it. It was created by the gravitational collapse of a massive interstellar molecular cloud 4.6 billion years ago. The Sun contains the vast majority of the system's mass, with Jupiter holding the majority of the remaining mass.
Asteroids are rocky bodies that orbit the Sun. Although asteroids orbit the Sun in the same way that planets do, they are much smaller. In our solar system, there are numerous asteroids. The majority of them are found in the main asteroid belt, which lies between the orbits of Mars and Jupiter.
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if at a particular instant and at a certain point in space the electric field is in the x-direction and has a magnitude of 5.00 v/m , what is the magnitude of the magnetic field of the wave at this same point in space and instant in time? express your answer in teslas.
The magnitude of the magnetic field of the wave at this same point in space and instant in time is 1.67 × 10 ⁻⁸ T
The direction of the electric field is pointing in the positive x direction and the direction of propagation of the wave is in the positive z direction. Therefore, the direction of the magnetic field is in the positive y direction. Because in an electromagnetic wave, the direction of the electric field, the direction of wave propagation, and the magnetic field all lie perpendicular to each other.
According with the right-hand rule, the thumb points within the route of the current, the hands factor inside the course of the magnetic subject, and the resulting pressure at the charge points outwards from the palm. The pressure on a negatively charged particle is inside the opposite path.
Calculation:-
B₀ = E₀/c
= 5 / 3 × 10⁸
The magnitude of the magnetic field is equal to = 1.67 × 10 ⁻⁸ T
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astronauts connect a line between their 3200-kg spaceship and a 7700-kg asteroid. using the ship's engine, they pull on the asteroid with 620 n of force. if the asteroid and the ship are initially 450 meters apart, how long does it take for the ship and asteroid to meet?
As the spaceship pull the asteroid with 620 N of force, they will meet after 105.4 seconds.
The gravitational force between the ship and the asteroid is very small compared to the force caused by pulling the asteroid. Hence, we can assume that the only force applied on the asteroid is the pulling force.
Using the Newton 2nd Law of motion:
F = m . a
Where
F = pulling force = 620 N
m = mass of the asteroid = 7700 kg
a = acceleration
Hence,
a = F/ m = 620 / 7700 = 0.081 m/s²
Using the equation of motion:
s = 1/2 . a t²
Where:
s = distance = 450 meters
t = time
Hence,
450 = 1/2 . (0.081) t²
t² = 11,111.11
t = 105.4 seconds
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what is the relationship between the incident and reflected angles of a beam of light with different types of mirrors?
The relationship between the incident and reflected angles of a beam of light with different types of mirrors that both the angles are equal
According to the law of reflection, the angle of incidence equals the angle of reflection. Irrespective of mirror , whether it is a concave mirror , convex mirror or plane mirror , this law remain same in all condition where the incident angle is always equal to reflected angle .
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a force of 50 n is applied tangentially to the rim of a solid disk of radius 0.12 m. the disk rotates about an axis through its center and perpendicular to its face with a constant angular acceleration of 110 rad/s2. determine the mass of the disk.
Since (r ) equal to A plus Br, the mass per unit area of a circular disc with radius a depends on the distance r from its center.
Determine the mass of the disk ?Mass is obtained by multiplying density by volume.The volume of a disk is equal to its area times thickness, or r2 times thickness.Simply multiply this volume by the disk density, and there you have it!a disk's bulk.
F= 50 N
r= 0.12 m
α = 110 rad/s²
The moment of inertia of disk about center
I= 0.5 m r²
m=mass , r=radius
The moment of inertia of disk about O
I' = 0.5 m r²+ m r²
I'=1.5 m r²
The torque produce by force F about O
τ = F x 2r
τ =2 F r
= 2 x 50 x 0.12 N.m
τ =12 N.m
We know that
τ = I' α
12 = 1.5 x m x 0.12² x 110
m=2.37 Kg
Mass of the disk m= 2.377 kg
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The telescope that allowed astronomers to discover most of the planets found with the transit method was called?.
The telescope that allowed astronomers to discover most of the planets found with the transit method was called the Kepler mission.
What is the Kepler mission?Through only this one telescope, Kepler, astronomers have found thousands of extrasolar planets, or exoplanets, since its inception. Most of them are planets with diameters ranging from Earth's to Neptune's (which is four times the size of Earth). Where Kepler was directed for the first four years of its mission, in an area of the constellation Cygnus roughly the size of the palm of a hand held at arm's length, many of these planets were found.
According to the NASA Exoplanet Archive, as of November 2020, Kepler was credited with finding 2,392 exoplanets, with 2,368 candidate planets still awaiting confirmation.
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two parallel metal plates are 5 cm apart and have equal surface charge densities of 9 nc/m2 of opposite signs on their inner surfaces. what is the electric field between the plates?
1.01 x 10³ C/m² is the electric field present between the two metal plates.
The electric field is defined as the region around a charged particle or charged body in which if another charge is placed experiences an electrostatic force.
The electric field inside two equal and opposite charged plates is given by
E = σ / ε ------ equation 1
here σ is the surface charge density = 9 x 10⁻⁹ C/m²
ε = Dielectric permittivity = 8.85 x 10⁻¹² C²/Nm²
Putting the values in equation 1
E = 9 x 10⁻⁹ / 8.85 x 10⁻¹²
=> 1.01 x 10³ N/C
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a 500 kg roller coaster car is traveling at 10 m/s as it passes the 20 m high peak of a hill. it rolls down the other side of the hill, to ground level, and then climbs a second 10-meter hill. find the speed of the roller coaster car at the top of the second hill.
The speed of the roller coaster when it comes at the top of the second hill is 17.32 m/s.
The mass of the roller coaster is 500 kg and it is travelling with a speed of 10m/s.
Firstly the roller coaster ride pass a height of 20 m and after that it goes down and then climb till height of 10 m.
It has been know that throughout the motion the total mechanical energy is always conserved.
So we can write,
Potential energy at the top of the 20 m + kinetic energy at the top of 20 m hill = potential energy at the top of 10 m hill + kinetic energy at the top of 10m hill.
MgH + 1/2MV² = Mgh + 1/2Mv²
H is 20m and h is 10m, while M is mass of roller coaster and V is the speed at top of 20m hill and v is the speed at top of 10m hill.
Putting all values,
g(H-h) = 1/2(v²-V²)
10×10 = 1/2(v²-100)
v = 17.32 m/s.
So, the speed of the roller coaster at the top of 10m hill is 17.32 m/s.
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Ryan scores during his Waterpolo match by throwing the water polo ball hard. If the water polo bairs mass is 0.45 kg, the ball’s weight is ___N
The ball accelerates at a rate of 5.0 m/a^2 after Ryan throws it The net force on the ball is ___N.
The friction between the ball and the air is 2.65 N. To throw the ball at 5.0 m/a^2. Ryan has to apply a force of ___N
Ball’s weight is 4.4129925 N , net force on the ball is 2.25 N , Ryan has to apply a force of 4.9 N.
What is force ?
Whenever there is an interaction between two objects, there is a force acting on each object. When the interaction stops, the two objects no longer receive forces. Forces arise only through interactions , describes the technique of rocks converting their bodily houses with out converting their simple composition.
What is acceleration ?
Acceleration is a vector quantity defined as the rate at which an object's velocity changes. An object accelerates when its velocity changes.
What is friction ?
Friction is the resistance to movement of 1 item transferring relative to another. According to the International Journal of Parallel, Emergent and Distributed Systems(opens in new tab), it isn't always handled as a essential force, like gravity or electromagnetism. Instead, scientists accept as true with it's miles the end result of the electromagnetic appeal among charged debris in touching surfaces.
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what is re, the reynolds number re, for water flows at 10 m/s speed through a typical household water pipe of 30 mm diameter? viscosity of water is 8.90 x 10-4 pa.s.
To learn the viscosity and speed and resistance to calculate the diameter.
What is viscosity?
Viscosity is a fluid's (liquid or gas) resistance to a change in shape or motion of adjacent parts concerning one another. Viscosity indicates resistance to flow.
What constitutes speed?
The speed of a change in an object's position in any direction Speed is defined as the ratio of distance to the amount of time it takes to cover that distance. Since speed has only a direction and no magnitude, it is a scalar quantity.
Resistance AC circuit
in resistance AC circuit the voltage and current are related as,
Emf; E= EoSinωt
where, I_O=E_O/R
In purely resistive circuit, there is no phase change occurs. the phase angle between voltage and current is zero.
the maximum value of current is I_0 =v_0\R
if tha maximum volatge v_0 is increase with decrease of resistance R then current in the circuit will maximum and denoted asI_0
capacitive AC circuit
In capacitive AC circuit the voltage and current are related as,
Emf: E=E_Osinωt
and current I =I_Osinωt
⇒ I =I _0sin(ωt+π/2)
where,I_0 =E_0/X_C
in purely capacitive circuit, current leads the end by phase of π/2. the phase angle between volatge and current is π\2
The maximum value of current is,I_0 =E_0\X_C
if the maximum voltage E_0 is increases with decreases of capacitive X_c then current in the circuit will maxmium and denoted as I_0
when the emf is zero then current is maximum magnitude.so the current is maxmium before it leads or lag in the circuit.
inductive AC circuit:
Inductive AC circuit the voltage and current are related as
Emf: E= E_0sinωt
And current : I= (-)I_0cosωt
⇒ I= I_0sin(ωt -π/2)
where, Iπ_0 =E_0/X_L and x=∈L
In purely inductive circuit, the current lags behind the voltage (emf) by phase of π/2. The phase angle between volatge and current is π/2
The maximum value of current is, I_0 = E_0/X_L
if the maximum voltage E_0 is increase with decrease of inductive resistance X_L then current in the circuit will maximum and denoted is I_0.
Therefore, the emf is zero then current is maximum magnitude. so the current is maximum before it leads or lag in the circuit.
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Please someone help!! I don’t know how to figure this out!
Answer:
relax
Explanation:
your answer is right there in front of you force = weight
area of feet = area
while your pressure = force per unit area i.e
force/area = 600/0.03
= 2 × 10⁵
you and a friend are on a swing set and her swing is slightly longer than yours. if you both start swinging at the same time, from the same height, where will she be after you have completed one complete swing back and forth?
She might be barely lower than you however shifting upward in the direction of you.
Oscillation is the repetitive or periodic variation, generally in time, of a few measures approximately a critical price or among or greater distinct states. familiar examples of oscillation consist of a swinging pendulum and alternating modern-day.
A pendulum is a weight suspended from a pivot so that it can swing freely. whilst a pendulum is displaced sideways from its resting, equilibrium position, it's miles issue to a restoring force due to gravity so one can accelerate it returned toward the equilibrium function.
Oscillation is defined as the method of repeating versions of any quantity or degree about its equilibrium price in time. Oscillation can also be defined as a periodic variant of a rely on among values or approximately its crucial price.
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a light bulb consumes energy at a rate of . how long in will it take for the light bulb to consume in energy?
It will take the lightbulb 2875 seconds to use 2.3×10⁵J of energy.
Why does power matter?Power is the amount of work completed in a given amount of time, or time spent working. The joules per second (J/s)-based SI unit of power is the Watt (W).
Given,
Power (P) = 80 J/s
Energy (E) = 2.3×10⁵ J
Time (t) = ?
The pace at which energy is utilized is a straightforward definition of power. Power can be mathematically stated as:
Energy x time equals power
P = E/t
We can calculate the time it takes for the bulb to use 2.3 105 J using the formula above. This is attainable as follows:
Power (P) = 80 J/s
Energy (E) = 2.3×10⁵ J
Time (t) = ?
Power = Energy / time
P = E/t
80 = 2.3×10⁵ /t
80 × t = 2.3×10⁵
Divide both side by 80
t = 2.3×10⁵ / 80
t = 2875 s
As a result, it will take the lightbulb 2875 seconds to use 2.3×10⁵J of energy.
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Complete question is "A light bulb consumes energy at a rate of 80joules per second . How long in seconds will it take for the light bulb to consume 2.3×10⁵in energy?".
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What is the potential difference measured if the following voltmeter (refer to picture) is used and connected to the circuit via the 3V terminal?
Since the meter's 3V terminals are connected to the circuit, we have to read the "zero-to-3" scale on the meter to get our measurement. That's the scale under the marks.
On that scale, the needle points to 1.4 DC Volts. That's the potential difference between the two points the meter probes are touching.
1) a magnetic field is not produced by a) stationary electric charge b) moving electric charge c) electric current d) an electromagnet e) current-carrying solenoid g
The magnetic field will not be produced by a) stationary electric charge
Any stationary charge in the system will not produce any magnetic field because it will not affect both the magnetic and electric fields. Thus it will not be able to produce any effect on the magnet. whereas in all other options like moving electric charge, electric current, electromagnet, current carrying solenoid, there will be the movement of the charges, which will produce the magnetic field because it will affect both the magnetic and electric field in the system and It will able to produce an effect on the magnet
Thus, the magnetic field is not produced in stationary electric charges.
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suppose the ring rotates once every 5.50 s . if a rider's mass is 51.0 kg , with how much force does the ring push on her at the top of the ride?
The force does the ring push on her at the top of the ride is 489.37N.
What does the word "force" mean?When an object with mass is pushed or pulled, it changes its velocity, according to the definition of force.
Given,
Ring rotates (T) = 5.50 s
Mass m= 51.0 kg
The velocity will now be determined as,
V = 2πr/T
V = 2π8/5.50
V = 50.54/5.50
V = 50.54/5.50
V = 9.134m/s.
By bringing the forces into balance,
N = mv²/R - mg
N = m (v²/R - g)
N = 51(9.134²/8 - 9.8)
N = 51(83.42/8 -9.8)
N = 489.37N
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when a 20.6 v battery is connected to a resistor with resistance 68.1 ohms, the voltage across the battery drops to 18.8 v. what is the internal resistance (in ohms) of the battery?
The internal resistance of the battery is 5.686ohms.
How much resistance does the battery interior have?A battery's internal resistance (IR) is characterized as the resistance to current flow inside the battery. The internal resistance of a battery is primarily affected by two factors: electrical resistance.
The main causes of the increase in internal resistance with lead acid are sulfation and grid corrosion. Temperature has an impact on resistance as well; heat reduces it and cold increases it. An increase in runtime can be achieved by briefly lowering the internal resistance of the battery
The formula below is used to determine the battery's internal resistance.
(V/R)r = V'
Make r the equation's subject.
r = V'R/V
Given:
V = 68.1 V
R = 20.6 ohms
V' = 18.8 V
r = (18.8×20.6)/68.1
r = 387.28/68.1
r = 5.686ohms.
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suppose that a microscope has an objective whose focal length is 1.00 mm and an eyepiece whose focal length is 25.0 mm. what is the magnifying power (m)) of the microscope? group of answer choices 25x 0.04x we need more information to calculate mp. 625x 160x
The ratio of the image's distance from the lens to the object's distance determines a lens's magnifying capability. Thus, the microscope's magnification factor m=m1m2.
Explain about magnifying power?Magnifying power is a lens's capacity to enlarge an image by how much. The least distance of distinct vision, or LDDV, and the focal length of the lens are directly correlated. Your eyes can easily focus on an object up to their LDDV.
By dividing the focal length of the scanning object (lens) by the focal length of the eyepiece, the magnifying power is computed. A 1x magnification power results in a 100% increase in the size of the thing being enlarged. A 1-inch object, for instance, would appear to be 2 inches at 1x.
The ratio of the angle the image at the eye occupies to the angle the object occupies is known as the magnifying power of the microscope.
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consider a 20 kg sphere with a 10 cm radius. what weight would a scale read if the sphere was totally submerged in water?
The weight the scale would read if the sphere of mass 20 kg with a 10 cm radius was totally submerged in water is 155.1 N
Fg = m g
Fb = ρ V g
Fg = Force of gravity
Fb = Buoyant force
m = Mass
g = Acceleration due to gravity
ρ = Density of medium
V = Volume of object
m = 20 kg
g = 9.8 m / s²
ρ = 1000 kg / m³
r = 10 cm = 0.1 m
Fg = 20 * 9.81
Fg = 196.2 N
Fb = ρ ( 4 / 3 π r³ ) g
Fb = 1000 * 4 / 3 * 3.14 * 0.1³ * 9.8
Fb = 41.1 N
N = Fg - Fb
N = Scale reading
N = 196.2 - 41.1
N = 155.1 N
Therefore, the scale reading if the sphere was totally submerged in water is 155.1 N
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two parallel plates are maintained with constant voltage by a battery as they are pulled apart. what happens to the strength of the electric field during this process?
During this process, the electric field gets stronger.
Between parallel plates, why does the electric field remain constant?Because of the assumption that the distance between the plates is small in comparison to the area of the plates, the electric field in parallel plates is uniform and roughly constant. Due to the interaction of the fields produced by the two plates, the field is roughly zero outside of the plates.
The capacitor's two oppositely charged plates are separated by an electric field that is constant throughout, with the exception of the plate edges. The electric field does not change because the space between the plates is smaller than their combined surface area.
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at a location in europe, it is necessary to supply 1000 kw of 60-hz power. the only power sources available operate at 50 hz. it is decided to generate the power by means of a motor- generator set consisting of a synchronous motor driving a synchronous generator. how many poles should each of the two machines have in order to convert a 50-hz power to 60 hz?
The number of poles that the two machines should have in order to convert a 50-hz power to 60-hz is a 10 pole synchronous motor must be coupled to a 12-pole synchronous generator.
n = 120 f / P
n = Speed of synchronous machine
f = Frequency
P = Number of poles
For motor,
f = 50 Hz
n = 120 * 50 / Pm
For generator,
f = 60 Hz
n = 120 * 60 / Pg
To accomplish the frequency conversion, the speed of the motor and generator must be equal. So,
120 * 50 / Pm = 120 * 60 / Pg
Pg / Pm = 6 / 5
Pg / Pm = 12 / 10
Therefore, to accomplish the frequency conversion, a 10 pole synchronous motor must be coupled to a 12 pole synchronous generator.
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the force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly as the weight of the car and the square of the car's speed. suppose that 640 pounds of force keeps a 2600-pound car from skidding on a curve of radius 650 at . what force would keep the same car from skidding on a curve of radius at ?
The force needed to keep a 2600-pound car from skidding on a curve of radius 650 at is 640 pounds.
The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly as the weight of the car and the square of the car's speed.
The same force would keep the same car from skidding on a curve of radius at , because:
1) The force is inversely proportional to radius. If one goes up, the other goes down.
2) The force is jointly proportional to weight and square speed. If one goes up, so does another; if one goes down, so does another.
3) 1600 pounds will keep a 2600-pound car from skidding on both curves--the force does not depend on which curve you're talking about!
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fixing the brakes on your bicycle, you have the bicycle turned upside down. to test the brakes, you spin the wheel to a high speed in a counter-clockwise direction from your perspective. what is the direction of the angular displacement of the wheel?
The direction of the angular displacement of the wheel is -Toward you.
What does angular displacement refer to?The definition of angular displacement is "the angle, expressed in radians (degrees, revolutions), through which a point or line has been rotated in a particular sense about a certain axis." It is the angle at which a body travels around in a circle.
A vector quantity, angular velocity has both a magnitude and a direction. The direction matches the direction of the angular displacement, which is where we derived the angular velocity.
The rate at which angular velocity changes over time is referred to as angular acceleration. Typically, it is stated in radians per second per second. As a result, d = d t. The term "rotational acceleration" also applies to the angular acceleration.
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