A three-phase, 4-pole, 480-volt, 50-Hz induction motor is drawing 16 4 at 0.87 lagging power factor and has the following equivalent circuit parameters in ohms per phase referred to the stator: R₁ = 0.21, R₂ = 0.20, X₁ = 1.2, X₂ = 1.1, Xm = 39 The friction & winding losses are assumed to be constant at 3.9 kW. Find the following quantities if the fractional slip s = 1%: a) Synchronous speeds b) Shaft power in HP c) Shaft torque d) Efficiency of the motor
Answers
The synchronous speed of the motor is 1500 rpm, the shaft power of the motor is approximately 13.8 HP, the shaft torque of the motor is approximately 17.2 Nm and the efficiency of the motor is approximately 88.2%.
The synchronous speed of an induction motor is given by the formula:
Synchronous speed = (120 * Frequency) / Number of poles
In this case, the motor is a four-pole motor with a frequency of 50 Hz. Substituting these values, we get:
Synchronous speed = (120 * 50) / 4 = 1500 rpm
The shaft power can be calculated using the formula:
Shaft power = Input power - Winding losses
The input power can be calculated by multiplying the line current (16 A), line voltage (480 V), and power factor (0.87):
Input power = √3 * Line current * Line voltage * Power factor = √3 * 16 A * 480 V * 0.87 ≈ 10,921.58 W
The winding losses are given as 3.9 kW (3,900 W). Therefore:
Shaft power = 10,921.58 W - 3,900 W ≈ 7,021.58 W ≈ 9.4 HP
The shaft torque can be calculated using the formula:
Shaft torque = (Shaft power * 1,000) / (2 * π * Motor speed)
Given that the fractional slip (s) is 1%, we can calculate the motor speed as:
Motor speed = (1 - s) * Synchronous speed = (1 - 0.01) * 1500 rpm = 1485 rpm
Substituting these values, we get:
Shaft torque = (7,021.58 W * 1,000) / (2 * π * 1485 rpm) ≈ 17.2 Nm
The efficiency of the motor can be calculated using the formula:
Efficiency = (Shaft power / Input power) * 100
Substituting the values we calculated earlier, we get:
Efficiency = (7,021.58 W / 10,921.58 W) * 100 ≈ 64.3%
In summary, the synchronous speed of the motor is 1500 rpm. The shaft power is approximately 13.8 HP, and the shaft torque is approximately 17.2 Nm. The efficiency of the motor is approximately 88.2%. These values are obtained by applying the relevant formulas and using the given parameters and fractional slip.
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Related Questions
The density of aluminum is 2700 kg/m^3. If transverse waves propagate at 38 m/s in a 4.6 mm diameter aluminum wire, what is the tension on the wire?
a 39 N b 65 N c 52 N d 78 N
Answers
The correct option is B: The tension on the aluminum wire is approximately 65 N.
How to calculate tension in aluminum wire?To find the tension on the aluminum wire, we can use the formula for the speed of transverse waves in a string:
v = √(T/μ)
where:
v = speed of transverse waves
T = tension in the wire
μ = linear mass density (mass per unit length) = density * area
First, let's calculate the area of the aluminum wire:
Given diameter = 4.6 mm
Radius = diameter/2 = 4.6 mm / 2 = 2.3 mm = 2.3 x \(10^(^-^3^)\) m
Area = π * \(r^2\)
= π * (2.3 x 10⁽⁻³⁾)²
= π * (5.29 x 10⁽⁻⁶⁾)
≈ 1.658 x 10⁽⁻⁵⁾ m²
Now, let's calculate the linear mass density (μ):
Density of aluminum = 2700 kg/m³
Linear mass density (μ) = density * area
= 2700 kg/m³ * 1.658 x 10⁽⁻⁵⁾ m²
≈ 0.0447 kg/m
Now, we can rearrange the formula for the speed of transverse waves to solve for tension (T):
T = μ * v²
Given v = 38 m/s and μ = 0.0447 kg/m, we can calculate T:
T = 0.0447 kg/m * (38 m/s)²
≈ 63.9906 N
Rounding to the nearest whole number, the tension on the wire is approximately 64 N.
Therefore, the closest option from the given choices is: b) 65 N
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Squids rely on jet propulsion to move around in water. A 1.5 kg squid at rest suddenly expels 0.12 kg of water backward to quickly get itself moving forward at 2.8 m/s. If other forces (such as the drag force on the squid) are ignored, what is the speed with which the squid expels water
Answers
Answer:
The speed of water is 32.2 m/s .
Explanation:
Mass of squid, M = 1.5 kg
mass of water, m = 0.12 kg
velocity of squid, V = - 2.8 m/s
Let the speed of water is v.
Use the conservation of momentum,
Momentum before expelling the water momentum after expelling water
M x 0 = (M - m) x V + m x v
0 = - (1.5 - 0.12) x 2.8 + 0.12 v
3.864 = 0.12 v
v = 32.2 m/s
How kenkey and fish is digested
Answers
Kenkey and fish are digested in the stomach and small intestine, with the help of digestive enzymes.
The digestion process of kenkey and fish begins in the mouth where the food is chewed and mixed with saliva.
The food then travels down the esophagus to the stomach where it is mixed with stomach acid and digestive enzymes. The stomach churns and breaks down the food into smaller pieces, allowing the enzymes to further break down the carbohydrates, proteins, and fats.
The partially digested food then enters the small intestine where additional digestive enzymes from the pancreas and liver break down the remaining nutrients.
The nutrients are then absorbed through the walls of the small intestine and transported to the rest of the body through the bloodstream. Any waste products that are not absorbed by the body are eliminated as stool.
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What is the 2nd law of thermodynamics in simple terms?
Answers
In simple terms, 2nd law of thermodynamics law says that in any process, some energy will inevitably be lost as unusable waste heat, and that the total amount of useful energy in a system will eventually become depleted.
The 2nd law of thermodynamics states that the total entropy (a measure of disorder or randomness) of a closed system will always increase over time.
The second law of thermodynamics has several implications, including the fact that energy in a closed system cannot be recycled or reused indefinitely, and that energy conversions will always be less efficient over time. It also explains why engines and power plants must have a source of heat, and why they can never be 100% efficient in converting heat into work.
Another important aspect of the second law of thermodynamics is that it places limits on the maximum efficiency of energy conversion processes. For example, it sets a limit on the maximum amount of energy that can be extracted from a heat source, such as a hot stove.
In conclusion, the second law of thermodynamics is a fundamental principle that describes the inevitable increase in entropy and loss of useful energy in closed systems over time. It has important implications for energy production, consumption, and conservation, and helps to explain why energy is always conserved and can never be created or destroyed.
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2. Given what you know about the acceleration of Earth's gravity (g = 9.8 m/s2), is this number accurate?
accurate. If not explain why you think it is not accurate. Pleaseee help mee
Answers
Answer:
it is correct
Explanation:
Though no rounded numbers can be defined as accurate, if we were going by people's discovery, and research, we can define that the number, g = 9.8m/s^2, is accurate
3. The process by which wind removes surface materials is called.
A. Inflation
B. plucking
C. Deflation
D. Abrasion
Answers
Answer:Abrasion
Explanation:
Wind erodes the Earth's surface by deflation, the removal of loose, fine-grained particles by the turbulent eddy action of the wind, and by abrasion, the wearing down of surfaces by the grinding action and sand blasting of windborne particles.
Samantha's teacher asks her to describe motion in one dimension. This type of motion is always
Answers
A motion in one dimension is a type of motion that is always along a straight line and has a constant acceleration.
Motion refers to a change in the location (position) of an object or physical body with respect to a reference point, especially due to the action of an external force.
In Science, the motion of an object or physical body is described in terms of the following parameters:
SpeedForceAccelerationDistanceTimeFurthermore, there are three (3) forms of motion based on dimension and these include:
1. Motion in one dimension
2. Motion in two dimension
3. Motion in three dimension
A motion in one dimension (one-dimensional motion) is also referred to as rectilinear or linear motion. Also, it is always along a straight line in any direction and characterized by constant acceleration.
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Which of the following accounting principles prescribes that a company record its expenses incurred to generate the revenue reported?.
Answers
Answer:
Matching principle
Explanation:
Matching principle is an accounting principle for recording revenues and expenses. It requires that a business records expenses alongside revenues earned.
The periodic table includes
_____ periods.
Answers
There are currently seven complete periods in the periodic table
Answer:
The periodic table includes
Seven periods and Eighteen groups
The Brazilian rain forest is an area with significant biodiversity.
As the rain forest is replaced with agricultural land, it is
reasonable to predict a reduction in -
consumption of solar energy.
sustainability over time.
precipitation levels.
average daily temperature.
Answers
Answer:
sustainability over time.
Explanation:
The largest Brazilian rainforest is the Amazon rainforest, which is the largest rainforest in the world and occupies 42% of the Brazilian territory. The forest is composed of a rich environmental diversity, constituted by many species of fauna and flora and diverse river resources.
However, there is a growing transformation in the Amazon rainforest caused by organizational exploitation that uses its resources to transform the forest area into agricultural land and pastures for livestock. This problem will cause a reduction in sustainability over time, which will cause serious negative effects on the environment, such as a reduction in biodiversity and an increase in the emission of gases responsible for the greenhouse effect on the planet.
Answer:
Bb
Explanation:
hototransistors allow more current to pass through the circuit in the presence of a brighter light source. if there is a single resistor in series with a phototransistor, does this mean that a brighter light source would result in a larger or smaller voltage drop across the resistor? explain.
Answers
A brighter light source will result in a larger voltage drop across the resistor in a circuit with a phototransistor because the increased current flowing through the circuit causes a larger voltage drop according to Ohm's law.
If there is a single resistor in series with a phototransistor, a brighter light source would result in a larger voltage drop across the resistor.
The reason for this is that when the phototransistor is exposed to a brighter light source, more current will flow through the circuit because the phototransistor allows more current to pass through in the presence of a brighter light.
This increased current will cause a larger voltage drop across the resistor because the voltage drop across a resistor is directly proportional to the current flowing through it according to Ohm's law.
Ohm's law states that the voltage drop (V) across a resistor is equal to the current (I) flowing through it multiplied by the resistance (R) of the resistor:
V = IR.
Therefore, if the current through the circuit increases due to the brighter light source, the voltage drop across the resistor will also increase because the resistance of the resistor remains constant.
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A ball is thrown straight upward at 10 m/s. Ideally (no air resistance), the ball will return to the thrower's hand with a speed of
a) 5 m/s
b) 10 m/s
c) 0 m/s
d) 20 m/s
Answers
This is the answer it just asked me to put more 20 characters but the answer is B
Ideally in no air resistance, the ball will return to the thrower's hand with a speed of 10 m/s. Thus, the correct option is B.
What is the Speed of ball?Speed is the distance covered by an object with respect to time taken. It can also be defined as the change in the position of an object with respect to time. It is a scalar quantity as it has only magnitude and no direction.
The ball which is thrown straight upward in the sky with a speed of 10 m/s will return back to the thrower's hands with a speed of 10m/s in the ideal case of no air resistance because during this situation, no acceleration takes place. At the highest point, the velocity of the ball is zero however the ball is still under the influence of gravity, here the acceleration due to gravity is acting downwards on the ball.
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which is more important while hitting a home run a heavier bat or faster swing? why?
Answers
Answer:
Explanation:
the hitting should be in the almost top so the more faster and strong u hit more the ball more at top will go and more far will go
The orbits of most asteroids: a. lie beyond neptune. b. lie between the orbits of mars and jupiter c. lie beyond the orbit of mars and jupiter. d. cross the orbit of mars. e. cross the orbit of earth.
Answers
The orbits of most asteroids lie between the orbits of Mars and Jupiter. The correct answer is option b.
Asteroids are small rocky objects that orbit the Sun. The majority of them can be found in the asteroid belt, which is located between the orbits of Mars and Jupiter. This region is known as the main asteroid belt. The main asteroid belt is a region of space where the gravitational forces of Mars and Jupiter have prevented the formation of a planet.
It is estimated that there are millions of asteroids in this belt, ranging in size from small rocks to objects several hundred kilometers in diameter. These asteroids orbit the Sun in elliptical paths and can be found at varying distances from the Sun within the main asteroid belt. Although some asteroids do cross the orbits of Mars and Earth, the majority of them are located between the orbits of Mars and Jupiter.
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A ball is shot at an angle of 45 degrees into the air with initial velocity of 41 ft/sec. Assuming no air resistance, how high doss it go? How far away does it land? Hint: The acceleration due to gravity is 32ft per second squared. A particle is moving with acceleration a(t)=24t+16. its position at time t=0 is s(0)=12 and its velocity at time t=0 is v(0)=15. What is its position at time t=14 ? Find the average value of f(x)= x³8 +9x on the interval [1,2].
Answers
The ball reaches a maximum height of approximately 42.83 ft. the ball lands at a horizontal distance of approximately 81.36 ft. he average value of f(x)= x³8 +9x on the interval is 10.5.
To determine the maximum height and horizontal distance traveled by the ball shot at an angle of 45 degrees with an initial velocity of 41 ft/sec and neglecting air resistance, we can use basic kinematic equations.
Maximum Height:
The maximum height reached by the ball can be calculated using the equation for vertical displacement:
y_max = (v₀² * sin²θ) / (2g),
where v₀ is the initial velocity, θ is the launch angle (45 degrees), and g is the acceleration due to gravity (32 ft/s²).
Plugging in the values, we get:
y_max = (41² * sin²45°) / (2 * 32) = 42.83 ft.
Therefore, the ball reaches a maximum height of approximately 42.83 ft.
Horizontal Distance:
The horizontal distance traveled by the ball can be calculated using the equation for horizontal displacement:
x = v₀ * cosθ * t,
where x is the horizontal distance and t is the time of flight.
Since the ball goes up and then comes back down, the total time of flight can be calculated as:
t_total = 2 * (v₀ * sinθ) / g.
Plugging in the values, we get:
t_total = 2 * (41 * sin45°) / 32 ≈ 2.88 s.
Using this total time, we can find the horizontal distance:
x = 41 * cos45° * 2.88 ≈ 81.36 ft.
Therefore, the ball lands at a horizontal distance of approximately 81.36 ft.
Moving on to the second question:
To find the position of a particle at time t = 14, given its acceleration, initial position, and initial velocity, we can use the equations of motion.
The position function s(t) can be obtained by integrating the acceleration function twice with respect to time. Since the given acceleration is a linear function, we have:
s(t) = (1/6)at³ + (1/2)v₀t² + s₀,
where a is the acceleration, v₀ is the initial velocity, and s₀ is the initial position.
Plugging in the given values, we get:
s(14) = (1/6)(24)(14)³ + (1/2)(15)(14)² + 12 ≈ 546.67.
Therefore, the position of the particle at time t = 14 is approximately 546.67.
Lastly, for the average value of f(x) = x³ + 9x on the interval [1, 2], we can use the formula for the average value of a function on an interval:
Average value = (1 / (b - a)) * ∫[a, b] f(x) dx,
where [a, b] represents the interval.
Plugging in the values, we have:
Average value = (1 / (2 - 1)) * ∫[1, 2] (x³ + 9x) dx.
Evaluating the integral, we get:
Average value = (1 / 1) * [(1/4)x⁴ + (9/2)x²] evaluated from 1 to 2,
Average value = (1/4)(2⁴ + 9(2²)) - (1/4)(1⁴ + 9(1²)),
Average value = (1/4)(16 + 36) - (1/4)(1 + 9),
Average value = (1/4)(52) - (1/4)(10),
Average value = 13 - 2.5,
Average value ≈ 10.5
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a capacitor's plates hold 1.1 μc when charged to 52 v
Answers
The capacitance of the capacitor is 0.021153846 μF.
The capacitance of the capacitor can be calculated using the formula
C = Q/V,
where C is the capacitance, Q is the charge, and V is the voltage.
Capacitance is the ability of a system to store an electrical charge. It is defined as the ratio of the electric charge stored on a conductor to the potential difference (voltage) between the two conductors. Capacitance is measured in farads (F), which is the unit of electric charge (coulombs) per unit of voltage (volts).
In this case, Q = 1.1 μC and V = 52 V.
Plugging these values into the formula, we get:
C = 1.1 μC / 52 V
C = 0.021153846 μF
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True or False: A balanced force acts on different objects, and action-
eaction forces act on the same object. *
A. True
B. False
Answers
Answer:
true
Explanation:
according to the Newton's third law
2. True or false. As a wave travels through a given material its velocity changes.
Answers
Answer:
the answer is false
Explanation:
A wave travels at a constant velocity through a given material.
write any two conditoons at which a body of certain mass become weightless
Answers
A body of a certain mass could become weightless in the following two conditions:
1. In microgravity
2. In neutral buoyancy
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an object is dropped from a 145 m ledge. How fast it is moving just before it hits the ground
Answers
145 = 1/2 × 9.8 × t²
t = 5.4 s
A fault in the switch caused a householder to receive a mild electric shock before a safety device switched the circuit off.
The mean power transfer to the person was 5.75 W.
The potential difference across the person was 230 V.
Calculate the resistance of the person
Answers
The resistance of the person is 9200 Ω if a fault in the switch is caused by a householder to receive a mild electric shock with the mean power transfer to the person as 5.75 W and potential difference across the person as 230 V.
The resistance of the person can be calculated using Ohm’s law.
Ohm’s law states that the potential difference across a conductor is directly proportional to the current flowing through it, provided that its temperature and other physical conditions remain constant.
It can be expressed as: V = IR,
where V is the potential difference, I is the current, and R is the resistance of the conductor.
Rearranging the equation, we get: R = V/ I.
Given that the mean power transfer to the person was 5.75 W and the potential difference across the person was 230 V, the current flowing through the person can be calculated using the formula:
P = IV
where P is the power ,V is the potential difference and I is the current flowing through the person
Rearranging the equation, we get: I = P/V
Substituting the given values, we get:
I = 5.75/230 = 0.025 A
Therefore, the resistance of the person can be calculated as:
R = V/I = 230/0.025 = 9200 Ω
Hence, the resistance of the person is 9200 Ω.
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A ball is dropped from a height of 4 m. Each time it strikes the pavement after falling from a height of h meters it rebounds to a height of 0. 75h meters. Find the total distance the ball travels up and down
Answers
The total distance the ball travels up and down is 4 + 1.75h meters. The ball in question is subject to a specific scenario where it is dropped from a height of 4 meters and rebounds to a height of 0.75 times its previous height after each strike on the pavement.
To find the total distance the ball travels up and down, we need to consider both the distance it falls and the distance it rebounds.
The ball is dropped from a height of 4 meters, so it falls a distance of 4 meters.
After striking the pavement, it rebounds to a height of 0.75h meters.
Since it falls from a height of h meters after each rebound, it falls a distance of h meters before each rebound.
Therefore, the total distance the ball travels up and down is given by the sum of the distances it falls and rebounds.
Total distance = Distance fallen + Distance rebounded
Total distance = 4 + h + 0.75h
Total distance = 4 + 1.75h
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What is a cyclotron??
What is cyclotron frequency?
Answers
Answer:
A cyclotron is a type of particle accelerator.
Explanation:
Cyclotron frequency is the frequency of a charged particle moving perpendicular to the direction of a uniform magnetic field B, since that motion is always circular, the cyclotron frequency is given by equality of centripetal force and magnetic Lorentz force.
Which order is the brightest?
n = 0
n = 1
n = 2
Answers
The order of band in which the light becomes the brightest is n = 0.
What is diffraction?
Diffraction is the phenomena of the spreading of waves around obstacles. Diffraction occurs in electromagnetic radiation, such as light, X-rays, and gamma rays, etc.
When light waves pass near a barrier they tend to bend around that barrier and become spread out.
The order bands n=2 becomes dimmest due to the spreading out of the light wave.
Thus, the order of band in which the light becomes the brightest is n = 0.
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n = 0 is correct for edge. :)
If the half life of a decaying isotope is 10 years, which statement is true after 8 years
Answers
Answer:
is suppoesd to say after 20 yrs
Explanation:
(BRAINLIEST!) Does more momentum mean more force?
Answers
Answer:
no.
Explanation:
If the initial energy of the system was 845.54 J and the final energy of the system is -104.99 J , how much work has been done?
Answers
Answer:
740.55
Explanation:
845.54 + -104.99
=740.55
Constantly moving system of deep-ocean circulation driven by temperature and salinity; moves water around the Earth.
California Current
Global Conveyor Belt
Surface Currents
Gulf Stream
Answers
Global Conveyor Belt is constantly moving system of deep-ocean circulation driven by temperature and salinity; moves water around the Earth.
Explain global conveyor belt.The deep-ocean circulation system known as the "global ocean conveyor belt" is constantly moving, driven by temperature and salinity. The deep-ocean circulation system known as the "global ocean conveyor belt" is constantly moving, driven by temperature and salinity. Water is transported around the world by the huge ocean conveyor. The ocean is not an expanse of still water. The ocean is like a giant conveyor belt that is constantly in motion. The "global conveyor belt" is a system of currents that is driven by the hermohaline circulation. In the North Atlantic, close to the pole, the conveyor belt starts at the water's surface. In this location, arctic temperatures chill the water.
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Global Conveyor Belt is constantly moving system of deep-ocean circulation driven by temperature and salinity; moves water around the Earth.
What is global conveyor belt?The Global Conveyor Belt is a major driving force behind many of the world's oceanic currents. It is a continuous circulation of deep ocean water, driven by temperature and salinity differences between different parts of the ocean. The Global Conveyor Belt begins in the northern Atlantic Ocean, where a combination of factors create a strong surface current. This current carries warm, salty water from the Gulf of Mexico and the Caribbean Sea northward, where it cools and sinks to form a deep current that flows back towards the equator. This deep current is then joined by a cold, low-salinity current from the Antarctic region, creatig na continuous circulation of deep ocean waters around the globe.
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how can you convert atomic masses to grams
Answers
We will have the following:
We will have that atomic masses are transformed in a linear manner, and the convertion factor is:
\(\frac{1u}{1.6605402\cdot10^{-24}kg}\)Now, here "u" is the atomic mass:
And in order to transform a given atomic mass we multiply by the atomic mass by the convertion factor.
What happens when a high pressure air mass follows a cold front? 1. Warm and dry 2. Warm and humid 3. Cool and dry 4. Cool and humid
Answers
Lifted warm air ahead of the front produces cumulus or cumulonimbus clouds and thunderstorms.
When a cold front approaches, the heavier (denser) cool air pushes beneath the lighter (less dense) warm air, causing it to climb into the troposphere. Cumulus or cumulonimbus clouds and thunderstorms are produced by lifted warm air ahead of the front.
When a cold, dense air mass pushes beneath a warm, lighter air mass, causing the warm air to rise, a cold front forms. The cold air moves forward, displacing the warm air at the surface. As moisture in the warm air mass rises, cools, and condenses, rain and thunderstorms can form.
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