An AC generator consists of 20 circular loops of wire with an area of 75 cm2. It has a maximum induced voltage of 24 V. If its armature rotates at a frequency of 60 Hz, what is the magnitude of the magnetic field, assuming it is uniform?
Pls help
Answers
Faraday's law allows us to find the magnetic field that produces the emf in the rotating system is:
The magnetic field is: B = 0.424 T
Faraday's law of induction states that when the magnetic flux changes in time, an induced electromotive force is produced.
fem = \(- \frac{d \Phi_B }{dt}\)
where fem is the induced electromotive force and Ф the flux,
The magnetic flux is the scalar product of the field and the area.
\(\Phi_B = B . A = B A \ cos \theta\)
In this case we have several turns, so the expression remains.
fem = \(- N B A \ \frac{d cos \theta}{dt}\)
Indicate that the turns rotate at a constant frequency, therefore we can use the uniform rotational motion ratio.
θ = w t
We substitute
\(fem = - N B A \ \frac{d \ cos \ wt}{dt}\\fem = N B A w sin \ wt\)
the maximum induced electromotive force occurs when the sine function is ±1
fem = N B A w
They indicate that the fem = 24 V, the number of the turn is N = 20, the area is A = 75 cm² = 75 10⁻⁴ m² and the frequency f = 60 Hz
Frequency and angular velocity are related.
w = 2π f
We substitute.
fem = N B A 2π f
\(B = \frac{fem }{2 \pi \ NA \ f}\)
Let's calculate.
\(B= \frac{24 }{2\pi \ 20 \ 75 \ 10^{-4} 60}\)B = 24 / 2pi 20 75 10-4 60
B = 0.424 T
In conclusion, using Faraday's law we can find the magnetic field that produces the emf in the rotating system is:
The magnetic field is; B = 0.424 T
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Related Questions
If a person is kicking there legs three times every four seconds what is the frequency.
Answers
Answer:
f = 0.75 Hz
Explanation:
It is given that, a person is kicking there legs three times every four seconds. We need to find his frequency. The number of times an event is occurring is called frequency of an object. The frequency of a person is given by :
\(f=\dfrac{n}{T}\\\\f=\dfrac{3}{4}\\\\f=0.75\ Hz\)
So, the frequency of the person is 0.75 Hz.
1.00-m3 object floats in water with 20.0% of its volume above the waterline. what does the object weigh out of the water? the density of water is 1000 kg/m3.
Answers
If 1.00-m³ object floats in water with 20.0% of its volume above the waterline, the volume above the waterline is 0.80 m³. The weight of the object out of the water is 7848 N.
To solve this problem, we'll use the concepts of buoyancy, volume, and weight.
1. Determining the volume submerged in water:
Since 20% of the object's volume is above the waterline, 80% of its volume is submerged.
Submerged volume = 0.80 * 1.00 m³ = 0.80 m³
2. Calculating the buoyant force:
Buoyant force (F_b) = Volume submerged * density of water * acceleration due to gravity (g)
F_b = 0.80 m³ * 1000 kg/m³ * 9.81 m/s² = 7848 N
3. Calculating the weight of the object:
Since the object is floating, its weight (W) is equal to the buoyant force.
W = F_b = 7848 N
So, the weight of the object out of the water is 7848 N.
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The earth rotates about its axis once every 23 h 56 min 4 s, and the radius of the earth is 3960 mi. Find the linear speed of a point on the equator in mi/h. (Round your answer to two decimal places. ) mi/h
Answers
The linear speed of a point on the equator is approximately 1038.37 mi/h.
To calculate the linear speed of a point on the equator, we can use the formula:
Linear Speed = Circumference / Time
The circumference of a circle can be calculated using the formula:
Circumference = 2 * π * radius
Given:
Radius of the Earth (r) = 3960 mi
Time (t) = 23 h 56 min 4 s
First, let's convert the time to hours:
Time = 23 h + 56 min + 4 s
= 23.934 hours (approximate value)
Next, we can calculate the circumference of the Earth:
Circumference = 2 * π * radius
= 2 * 3.14159 * 3960 mi
= 24,901.56 mi
Now we can calculate the linear speed:
Linear Speed = Circumference / Time
= 24,901.56 mi / 23.934 h
= 1038.37 mi/h
Therefore, the linear speed of a point on the equator is approximately 1038.37 mi/h.
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A capacitor of capacity C, is charged to the potential of V0 . On disconnecting with the battery, it is connected with a capacitor of capacity C2 as shown in the adjoining figure. The ratio of energies before and after the connection of switch S will be :A) (C1 + C2)/ C1B) C1/(C1 + C2)C) C1 C2D) C1/C2
Answers
A capacitor of capacity C, is charged to the potential of V0 . On disconnecting with the battery, it is connected with a capacitor of capacity C2 as shown in the adjoining figure. The ratio of energies before and after the connection of switch S will be (C1 + C2)/ C1 .
Option a is correct .
Potential difference in a parallel to series combination is expressed as a ratio of. Let VP represent the potential difference between a parallel and series combination, and let Vs represent the energy stored in each case. The capacitance C is defined as C = q/V, where q is the charge on either conductor and V is the potential difference between the conductors.
It is made up of two electrical wires that are spaced apart by a certain amount. Vacuum may be used to fill the space between the conductors, or a dielectric, an insulating substance, may be used instead.
Hence, Option a is correct .
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If it actually hits the ground with a speed of 8. 50 m/s , what is the magnitude of the average force of air resistance exerted on it?
Answers
the magnitude of the average force of air resistance exerted on the object is approximately 1.05 N.
The magnitude of the average force of air resistance exerted on an object depends on various factors such as the shape, size, speed, and density of the object, as well as the density and viscosity of the air.
F = (1/2) * rho * Cd * A * v
we can estimate the density of air at sea level as 1.225 kg/m, and assume a drag coefficient of 0.5 for a spherical object.
F = (1/2) * rho * Cd * A * v
= (1/2) * 1.225 kg/m * 0.5 * pi * (0.1 m)* (8.50 m/s)
= 1.05 N (to two significant figures)
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72. An object travels at a constant velocity of 15 m/s for 5.0 seconds. How far does
it move during that time?
Kinematics equation/2
Answers
Answer: 125 m/s
Multiply 15 m/s by 5.0 minutes, because this will give you the product.
15 x 5.0 = 125.
Add the m/s sign to the 125. 125 m/s.
Answer = 125 m/s. Hope this helps!
a 12.5-kg board, 4.00 m long, is being held up on one end by Ahmed. He calls for help in lifting the board, and Judi responds
Answers
F min=61.25N Ahmed is supporting a 12.5 kg, 4.00 m long board on one end. Judi responds to his request for assistance by accelerating the speed of the motion, and is the rate for which velocity varies over time.
Explain what an acceleration is.acceleration is the rate of change in both speed and the direction of velocity over time. When anything moves faster or slower in a straight line, it is said to have been accelerated. So because direction is constantly changing, even motion on the a circle accelerates at a constant pace.
What happens if you speed up?This means that a velocity change can be either an alteration in the speed or direction of motion of an object. Acceleration is the process by which an item alters its direction, speed, or both.
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Help me as pleasessss help with 1,2 and 3
Answers
2.) Physical Properties
3.) Flammability, Reactivity, Ability to Rust
what does it mean when a problem is asking for the ph of a concentration at a certain temperature if given kb
Answers
When a problem is asking for the pH of a concentration at a certain temperature if given kb, it means that the problem is asking for the acidity or basicity of a solution at a specific temperature that is determined by the given value of kb (base dissociation constant).
What is pH?pH is a measure of the hydrogen ion concentration in a solution that determines its acidity or basicity. pH values range from 0 to 14, with 7 being neutral, values less than 7 being acidic, and values greater than 7 being basic or alkaline. kb is the dissociation constant of a base, which is defined as the concentration of hydroxide ions (OH-) when the base is dissolved in water. It is related to the pH of the solution by the formula:
pOH = -log(kb) pH = 14 - pOH
At a given temperature, the dissociation of a base affects the pH of the solution. Therefore, if the value of kb is given, it can be used to determine the concentration of hydroxide ions and pH of the solution. The exact calculation may vary depending on the specific problem, but it generally involves the use of the given value of kb, the molar concentration of the base, and the equilibrium constant expression of the reaction.
Therefore, when a problem is asking for the pH of a concentration at a certain temperature, given Kb, it means you need to calculate the pH of the solution based on the provided base dissociation constant (Kb) and temperature.
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physics physics physics physics
Answers
Physics is the branch of science that deals with the structure of matter and how the fundamental constituents of the universe interact. It studies objects ranging from the very small using quantum mechanics to the entire universe using general relativity.
Answer:
please ask this question separately
Explanation:
Blocks A and B oscillate at the ends of identical springs. The period of B’s oscillation is twice as long as that of A’s. How many times more massive is block B than block A?
Answers
The period of oscillation is the time it takes for an object to complete one full oscillation, and it is inversely proportional to the square root of the spring constant and directly proportional to the square root of the mass of the object. The period of oscillation is given by the formula T = 2π √(m/k) where T is the period, m is the mass of the object, and k is the spring constant.
Let's assume that the period of A's oscillation is T1 and the period of B's oscillation is T2. From the problem statement, we know that T2 = 2T1. Using the formula for the period of oscillation, we can write:
T2 = 2π √(m2/k) = 2 * 2π √(m1/k) = 2T1 = 2π √(m1/k)
Dividing the equation T2 = 2T1 by T1, we get T2/T1 = 2
So m2/m1 = (k*(T2/T1)^2) = (k*2^2) = 4k
Therefore, block B is 4 times more massive than block A.
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Write the chemical formula and chemical name for two phosphorus and four fluorine.
Answers
Answer:
2 moles of phosphorus difluoride
2PFsubscript2
I hope it will be useful.
A 3-column table with 1 row. The first column titled distance travelled (meters) has entry 6. 1. The second column labeled lower track elapsed time (seconds) has entry 4. 92. The third column labeled higher track elapsed time (seconds) has entry 3. 36. Based on the time measurements in the table, what can be said about the speed of the car on the lower track as compared to the higher track? How can the reasoning for the above answer be best explained? On the higher track, the elapsed time is. Calculate speeds for each track. How much faster was the car on the higher track than the lower track?.
Answers
Answer:
B,A,A
Explanation:
Answer:
Other guy is correct b,a,a
Explanation:
what is the answer of this
a car is travelling at a speed 38.0×10⁸m/s on an interstate highway where the speed limit is 75.0 mi/h. is the driver exceeding the speed limit
Answers
Answer:
He exceeded the speed limit
Explanation:
\({ \tt{ \frac{38 \times {10}^{8} \: m }{1 \: s} }} = { \tt{ \frac{ \frac{1}{1609} \: mi}{ \frac{1}{3600} \: hr} }} \\ \\ { \tt{ = ( \frac{1}{1609} \times 38 \times {10}^{8} ) \times (3600)}} \\ \\ = 8.5 \times {10}^{9 } \: mih {}^{ - 1} \)
How fast would an object with a mass of 100kg need to be going to hit the previous mass head on and come to a complete stop?
Answers
The required velocity of mass 100 kg is 3.75 m/s.
What is the required velocity of the mass 100 kg?
The required velocity of mass 100 kg is determined by applying the principle of conservation of linear momentum as follows;
This principle states that in an isolated or closed system, the sum of the initial momentum of an object is equal to the sum of the final momentum.
momentum of the 100 kg mass = momentum of 150 kg mass
100 kg x v = 150 kg x 2.5 m/s
v = ( 375 kg m/s ) / ( 100 kg )
v = 3.75 m/s
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The complete question is below:
A mass of 150 kg is moving 2.5 m/s. How fast would an object with a mass of 100kg need to be going to hit the previous mass head on and come to a complete stop?
) find the maximum negative bending moment, me, at point e due to a uniform distributed dead load (self-weight) of 2 k/ft, and a 4 k/ft uniform distributed live load of variable length.
Answers
The dead load is a uniform distributed load of 2 k/ft, which means that it applies a constant force per unit length of the beam. The live load is a uniform distributed load of 4 k/ft, but its length is not specified, so we cannot assume a fixed value.
To find the maximum negative bending moment, me, at point e, we need to consider both the dead load and live load.
To solve this problem, we need to use the principle of superposition. This principle states that the effect of multiple loads acting on a structure can be determined by analyzing each load separately and then adding their effects together.
First, let's consider the dead load. The negative bending moment due to the dead load at point e can be calculated using the following formula:
me_dead = (-w_dead * L^2) / 8
where w_dead is the dead load per unit length, L is the distance from the support to point e, and me_dead is the maximum negative bending moment due to the dead load.
Plugging in the values, we get:
me_dead = (-2 * L^2) / 8
me_dead = -0.5L^2
Next, let's consider the live load. Since its length is not specified, we will assume that it covers the entire span of the beam. The negative bending moment due to the live load can be calculated using the following formula:
me_live = (-w_live * L^2) / 8
where w_live is the live load per unit length, L is the distance from the support to point e, and me_live is the maximum negative bending moment due to the live load.
Plugging in the values, we get:
me_live = (-4 * L^2) / 8
me_live = -0.5L^2
Now, we can use the principle of superposition to find the total negative bending moment at point e:
me_total = me_dead + me_live
me_total = -0.5L^2 - 0.5L^2
me_total = -L^2
Therefore, the maximum negative bending moment at point e due to the given loads is -L^2. This value is negative, indicating that the beam is in a state of compression at point e. The magnitude of the bending moment increases as the distance from the support increases.
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pls help me to answer this
Answers
Answers:
Geography (geo-gra-phy)Location (lo-ca-tion)Coordinates (co-or-di-nates)Landmass (land-mass)Absolute (ab-so-lute)Vicinal (vi-ci-nal)Insular (in-su-lar)Relative (re-la-tive)Note: It's very likely the tile labeled "MAL" should be "NAL", and that "MATES" should be "NATES".
==================================
Explanations:
Geography deals with not only places, but also the people and cultures in those places. That's more of a social or human geography course. Natural geography talks about land formations, volcanos, rivers, etc.I'm not sure there's much to say about this term. It's simply a position in 2D or 3D space depending on context.Coordinates are things like longitude and latitude. Think of the (x,y) points on a grid. Side note: The tile "mates" should be labeled as "nates". Your teacher made a typo. In some dialects, the "co" and "or" are pronounced together; almost sounding like "core". The term "landmass" is exactly what you'd expect it should be: a big chunk of land. When you mention if a person has absolute freedom, then we consider that person having no restrictions of movement/choice/etc. It also refers to something like a local coordinate space talks about the surrounding area, whereas an absolute coordinate space doesn't have to worry about such issues. Eg: a local coordinate could be "go 5 blocks from the store" and an absolute coordinate would be to provide a GPS location. As you can see, the local coordinate space needs the store as an anchor or else it wouldn't make much sense.To be quite honest, I had a bit of a long time to find this answer. I suppose if you are good with words then it shouldn't be too much of a struggle. But I did a reverse dictionary lookup and only focused on three syllable words until I arrived at "vicinal" which is related to "vicinity". Eg: The person was just in the vicinity. Anyways, I haven't really seen this word used too much in everyday language, so that's probably why it took a while for me. I have a feeling your teacher meant to write "NAL" instead of "MAL" as one of the tiles. This appears to be the second time s/he mixed up M's with N's (the first time being "MATES" mixed up with "NATES"; see problem 3). Insular is an adjective referring to a person or group of people cut off from the larger world. Think of a small town where it's hard to reach. Islands are of course like this, but we could have an "island" rural small town or some culture in a remote location that is on a continent somewhere. It doesn't necessarily have to be a literal island surrounded by water. Think of the word "insulate" to help remember "insular". Also, the term "insular" could refer to the deliberate attempt to keep oneself (or one group) closed off from the rest of the world. An example of this is the Amish culture being insular to the American culture surrounding them. If object A is larger than object B, then we say A is relatively large compared to B. This is one example usage of the word "relative".Help please!!!! What is the difference between the type of smog experiences by cities in the eastern United States and that found in Southern California?
Answers
Both are dangerous on their own, but as they float through the air in Southern California's sunny climate, the sun bakes them into a new molecule called ozone, better known as smog.
What is Smog?Smog development and infiltration over Los Angeles. haze and air pollution in the entire community.
Burning sulfur-containing fossil fuels, particularly coal, causes sulfurous smog, also referred to as "London smog," which is characterized by a high concentration of sulfur oxides in the atmosphere.
The two primary substances in automotive exhaust are nitrogen oxides, which are created in scorching internal combustion engines, and hydrocarbons, which are derived from gasoline.
Therefore, Both are dangerous on their own, but as they float through the air in Southern California's sunny climate, the sun bakes them into a new molecule called ozone, better known as smog.
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Estimate the number of apples that is the energy equivalent of 1 gallon of gasoline.
Answers
Estimating the number of apples that is the energy equivalent of 1 gallon of gasoline is difficult, as the energy content of both substances is different. However, we can calculate the energy content of one gallon of gasoline and compare it to the energy content of one apple. So, approximately 1,045,454 medium-sized apples will be the energy equivalent of one gallon of gasoline.
Explanation:
What is the energy content of 1 gallon of gasoline?
The energy content of gasoline is measured in British Thermal Units (BTUs). According to the US Energy Information Administration, one gallon of gasoline contains approximately 115,000 BTUs.Therefore, to calculate the number of apples that are the energy equivalent of one gallon of gasoline, we need to determine the energy content of one apple.
Calculating the energy content of apples:
The energy content of an apple varies depending on its size and type, but on average, one medium-sized apple contains about 95 calories or 0.00011 BTUs.To calculate how many apples are equivalent to one gallon of gasoline, divide the BTU content of gasoline by the BTU content of one apple:115,000 BTUs ÷ 0.00011 BTUs/apple ≈ 1,045,454 applesTherefore, approximately 1,045,454 medium-sized apples are the energy equivalent of one gallon of gasoline.
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the formation ionic bond involves the _ of electrons
Answers
Answer-- The formation ionic bond involve the transfer of valence electron.
What is ionic bond?
-- Ionic bond, also called electrovalent bond, type of linkage formed from the electrostatic attraction between oppositely charged ions in a chemical compound.
Dependence
1. THe ease of formation fo the positive and negative ions from the respective neutral atoms.
2. The arrangements of the positive and negative ions in the solids , that is the lattice of the crystalline compounds.
-- The formation of a positive ion involves ionisation i.e. removal of electron from the neutral atom and that of the negative ion involves the addition of electron to the neutral atoms..
( Ionic bonds will be formed more easily between elements with comparatively low ionization enthalpies and elements with comparatively high negative value of electron gain enthalpy.)
What is electron gain enthalpy?
--The electron gain enthalpy is the enthalpy change, when a gas phase atom in its ground state gain an electron.
-- EGE process may be exothermic or endothermic.
What is ionisation energy?
Ionisation energy is the minimum amount of energy required to remove the most loosely bound electron, the valence electron, of an isolated neutral gaseous atom or molecule
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Elements that naturally exist as two atoms are called _____.
A) biatomic
B) bimolecular
C) dimolecular
D) diatomic
Answers
Answer:
D) diatomic
Explanation:
Diatomic elements form molecules with two atoms together.
Hope It Helps
Sorry If I'm Wrong
Can I have help with this please- thank you!!!
A child is pulling a toy train along the floor by pulling a piece of string state one contact force and one non contact force that acts on the toy
Answers
Answer:
I would say there is friction against the floor, air resistance, and gravity.
Explanation:
The contact force acting on the toy is the frictional force, and the non-contact force acting on the toy is the gravitational force.
Forces acting on the toy:According to the question, a toy train is being pulled by a string along the floor.
The gravitational force acting on the toy train is the weight of the toy train, which is a non-contact force given by:
F = mg
where m is the mass of the toy, and g is the acceleration due to gravity.
Now, the floor will exert a normal force against the toy, equal to the weight of the toy. Let the normal force be N.
Since the toy is in contact with the floor, there is a frictional force acting against the motion of the toy trains, which is a contact force and is given by:
f = μN = μmg
where μ is the coefficient of friction between the toy and the floor.
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how does lightning occer in the sky
Answers
Answer:
Lightning happens when the negative charges (electrons) in the bottom of the cloud are attracted to the positive charges (protons) in the ground.
Explanation:
Hope it helps u
FOLLOW MY ACCOUNT PLS PLS
Answer:
Explanation:
Lightning happens in the sky when the negative charges electrons in the bottom of the cloud are attracted to the positive charges protons in the ground.
box
Complete the concept map on ATP production. Choose your answer from the
Key Words
Electron Transport Chain
Krebs Cycle
Pyruvate
Glycolysis
Glucose
ADP
C
ATP
Acetyl COA
ADP
IC
ATP
CO2
High energy electrons and H*
ADP
IC
ATP
02
H2O
Answers
Answer:
Glycolysis
Pyruvate
Krebs Cycle
Electron Transport Chain
Explanation:
The concept map on ATP production shows the process of cellular respiration in living organisms.
Cellular respiration begins with glucose which is broken down in the process of glycolysis that occur in cytoplasm and gives 2 ATP. Glycolysis gives pyruvate as end product that enter in the process of Krebs Cycle or citric acid cycle as a aerobic process, that occur in mitochondria and produces 2 ATP. This energy is then used in Electron Transport Chain to pump high energy electrons and H+ that produces 36 ATP.
Help pls!!
Two pennies are taking a circular ride on the record at right.
Penny B is halfway to the
outside. Penny A is on the outside
If the rotational speed of the record were to triple the tangential velocity of the pennies would ...
a.) x 1/9
b.) x 1/3
c.) be the same
d.) x 3
e.) x 9
ab.) none of the above
Answers
c.) be the same, hope I helped
If a sound travels 343m/s through air and has a frequency of 800Hz, what would the wavelength be of the same sound traveling through water 500m/s with the same frequency?
Answers
Answer:
0.625m
Explanation:
Now Velocity of a wave ,V = frequency × wavelength
Wavelength =velocity /frequency
=500/800 =0.625m
consider the following figure. a strand has one end tied to a wall, extends across a small fixed pulley, and the other end is tied to a hanging object. the total length of the strand is l = 10.0 m, the mass of the strand is m = 7.00 g, the mass of the hanging object is m = 5.50 kg, and the pulley is a fixed a distance d = 8.00 m from the wall. you pluck the strand between the wall and the pulley and it starts to vibrate. what is the fundamental frequency (in hz) of its vibration?
Answers
The fundamental frequency (in hz) of its vibration is 878.51 Hz
To determine the fundamental frequency of the vibrating string, we used the equation f = 1/(2π)sqrt(T/m). In this equation, T is the tension of the string, m is the mass of the string and g is the acceleration due to gravity. We calculated T by multiplying the total mass (5.50 kg + 7.00 g) by the acceleration due to gravity (9.81 m/s^2) and the length of the string (10.0 m). We then used this value for T in the equation and the mass of the string (0.007 kg) to calculate the fundamental frequency of the vibrating string (878.51 Hz).
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Which one of these Target games uses the underhand throw?
A: Golf
B: KanJam
C: Corn-Hole
D: None Of The Above
HELP!!
Answers
Answer:
Cornhole
Explanation:
what evidence can you give that granulation is caused by convection
Answers
Granulation is the visible surface pattern of the sun, consisting of many small cells caused by convective motions. This is evidenced by the fact that the cells are roughly hexagonal, which is the shape expected from convective fluid motions.
Additionally, the cells are seen to rise and fall, consistent with convection currents, and the temperature variations across the cells are also consistent with convective heating and cooling. Finally, models of the sun's interior suggest that granulation is indeed caused by convection driven by heat flow from the core to the surface.
Granulation is a process in which small particles are agglomerated or fused together to form larger particles. The resulting particles, or granules, are more uniform in size and shape than the original particles and have improved flow, packing, and handling properties. Granulation is a common process in many industries, including pharmaceuticals, chemicals, food, and mining.
The process of granulation typically involves three stages: wetting, nucleation, and growth. In the wetting stage, the smaller particles are moistened or coated with a liquid binder, such as water or a solvent. In the nucleation stage, the wetted particles begin to form small aggregates, or nuclei, as the binder dries and the particles come into contact with each other. In the growth stage, the nuclei grow by further aggregation and consolidation, resulting in larger granules.
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Which of the following light waves have the highest frequency?infrared lightmicrowavesX-rays
Answers
The correct answe is X-rays
The infrared waves have a frequency range of 10¹