The vertical component of the velocity is 19.25 m/s.
The vertical component of the velocity can be determined using the trigonometric function of sine.
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse of a right triangle.
In this case, the angle is 37° and the hypotenuse is the velocity, 25 m/s. We need to find the opposite side, which is the vertical component of the velocity.
We can use the equation for the sine of an angle to solve for this:
sin(37°) = Opposite side/25
We can rearrange this equation to solve for the opposite side:
Opposite side = 25 * sin(37°)
Using a calculator, we can determine that the opposite side is equal to 19.25 m/s.
Therefore, the vertical component of the velocity is 19.25 m/s.
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A thin rod of mass M and length l is suspended vertically from a frictionless pivot at its upper end. A mass m of putty traveling horizontally with a speed v strikes the rod at its CM and sticks there.
Can someone explain to me why the intial angular momentum is what it is?
The reason for the initial angular momentum is law of conservation of momentum and its value is constant.
The velocity of the center of mass of an isolated system is constant. This means that if an isolated system is initially at rest, it will remain stationary, and if it is initially in motion, it will move with the same velocity. , depending on the mass distribution.The object's centroid need not be inside the object.For a symmetrical body with uniform mass distribution, the centroid coincides with the geometric center of the body.The position of the object's center of gravity changes during translation, but remains the same during rotation.To study more about center of mass -
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in which part of the ear does pressure need to be equalized when changing altitude or scuba diving? eustachian tube middle ear auricle ear drum
The middle ear is the part of ear that needs equalisation when changing altitude or scuba diving.
Why does the middle ear need equalisation?The water pressure you are diving through will affect the pressure in your outer ear. The Tympanic Membrane, also known as the "Eardrum," is located between the outer and middle ears. If there is an imbalance in the pressure between the two ears, the Tympanic Membrane will flex, resulting in discomfort or suffering.
The Eustachian Tubes, which are used to blow air into the middle ear, work to counteract this. Since the Eardrum is the only flexible portion of the middle ear, breathing more air into the middle ear will create pressure inside the middle ear, which will then cause the Eardrum to bend back to its original position. As a result, equalisation.
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you take a spectrum of a faraway galaxy and find that its hydrogen alpha line peaks at 6782 angstroms. what is its recessional velocity?
The recessional velocity is 9,771,241 m/s.
Step 1: The redshift of a faraway galaxy is determined by measuring the shift of its spectral lines compared to similar lines from nearby galaxies. The redshift is usually expressed as a ratio in terms of how much the wavelength of each line has shifted from its original value.
Step 2: The hydrogen alpha emission line has a known rest wavelength of 6562 angstroms. This means that the observed wavelength of 6782 angstroms is shifted from its rest wavelength by a factor of 1.03.
Step 3: The redshift of a galaxy can be converted into a recessional velocity in km/s by using the Hubble Law, which states that the recessional velocity of a galaxy is proportional to its redshift.
Step 4: To calculate the recessional velocity, the formula V = H0 x z is used, where V is the recessional velocity, H0 is the Hubble Constant, and z is the redshift.
Step 5: The Hubble Constant is currently estimated to be 70 km/s/Mpc, so using the formula, the recessional velocity of the faraway galaxy is 70 km/s/Mpc x 1.03 = 71.1 km/
Recessional velocity is the speed at which an object is moving away from an observer. This is typically measured in kilometers per second and is used to measure the expansion of the universe. It is calculated by measuring the wavelength shift of an object's light, which increases as the object moves away from the observer.
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which of these stars will take the shortest time to go from the earliest protostar stage to the main sequence?
The stars are ten times the mass of our sun will take the shortest time to progress from the earliest protostar stage to the main sequence.
What is a star?A star is simply a luminous body that is typically, frequently, and most of the time found in the night sky. A star, like the sun, is an incandescent body with a fixed point of rotation. Stars are massive celestial bodies composed primarily of hydrogen and helium that generate light and heat from the churning nuclear forges inside their cores.The following are some of the star's characteristics:
A star is enormous.A celestial body is a star.Radiation causes a star to shine.Gravity holds a star together.A star also produce Its own lightIt also generates its own heat energy.Finally, it is clear from the preceding explanation that stars are luminous and massive bodies.The complete question:
"Which of these stars will take the shortest time to go from the earliest protostar stage to the main sequence?
a. the star which has the same mass as our sun.
b. the star ten times the mass of our sun.
c. the star six times the mass of our sun.
d. none of the above."
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the density of the paper clip was greater than the density of water, so it should not have floated based on this idea alone. explain what properties of water allow the paperclip to float
A paper clip can certainly float on the water's surface, seemingly defying the rules of physics. The paper clip, which has a significantly higher density, can float on the water due to the strong surface tension.
The forces that hold liquid molecules together create the phenomenon known as surface tension.
A glass of water's surface molecules coheres more strongly with molecules that are directly related to them because they aren't surrounded by water molecules on all sides. It is less likely that a "skin" will develop on the water's surface the higher the cohesion between the water molecules as opposed to the water's attraction.
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how do population of juvenile salmon alter respond to changes in salinity
Poorly Understood
The influence of salinity, temperature and physiological development on habitat choice by juvenile salmon is poorly understood.
Answer:
Below
Explanation:
It is likely that changes in salinity can affect the population of juvenile salmon in a number of ways. For example, if the salinity of the water increases, it can lead to increased stress on the fish and make it more difficult for them to survive.
This can lead to a decrease in the population of juvenile salmon. On the other hand, if the salinity decreases, it can make it easier for the fish to survive and potentially lead to an increase in the population.
It is important to note, however, that the exact response of the population to changes in salinity will depend on a variety of factors, such as the species of salmon, the specific environment in which they are living, and the magnitude of the change in salinity.
at what temperature is the fahrenheit scale reading equal to (a) twice that of the celsius scale and (b) half that of the celsius scale?
At 320° Fahrenheit, which is equal to 160° Celsius, the temperature is precisely double what it is in Celsius.
24.6C is the temperature at which a reading on the Fahrenheit scale corresponds to half of a reading on the Celsius scale.
The unit of temperature on the Celsius scale—one of the two temperature scales used by the International System of Units (SI)—is the degree Celsius. The Kelvin scale is the other temperature scale. The symbol "degree Celsius" (°C) is used to indicate both a specific temperature on the Celsius scale and a measurement of the distance or range between two temperatures. It carries the name of Anders Celsius, a Swedish astronomer who invented a scale for measuring temperature in 1742 and was born in 1701–1744.
Centigrade, which derives from the Latin centum, which means "one hundred," and gradus, which means "steps," was the name of the measurement until 1948, when Anders Celsius was honoured with the new moniker. Most powerful countries utilise this scale.
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two children sit on a seesaw such that a 300-n child is 2.00 m from the fulcrum. where should a second child of weight 375 n sit in order to balance the system if the support is at the center of the plank?
The second child should be at 1.6 m in order to balance the seesaw.
The equation of torque is given as,
τ = r * F sinθ
where, r is the distance from the fulcrum
F is the force
From the above equation, as the seesaw is in equilibrium, this means that left side is equal to right side, we can write
τ₁ = τ₂
r₁ * F₁ = r₂ * F₂
In order to calculate the amount of torque the right side is providing to the system, we need to find out the distance r₂ that the person on the right is sitting with respect to the fulcrum.
300 * 2 = 375 * r₂
r₂ = 600/375 = 1.6 m
Thus, the second child should sit at 1.6 m in order to balance the seesaw.
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a hertzian antenna in free space is 10 cm long. it is fed by a current of 20 a at frequency of 50 mhz. find the electric and magnetic fields at far zone.
The electric and magnetic fields at far zones are 1.66 and 628.33 (...).
What are electric and magnetic fields?With the use of electricity and other types of artificial and natural illumination, invisible energy fields known as electric and magnetic fields (EMFs) and radiation are created.
The sole difference between the total energy (electrical plus magnetic) is that the B field energy rises as the E field energy falls. The magnetic component of the EM wave causes a current in the antenna when it is a coil, such as those employed in long/medium wavelengths.
Both antenna designs have the same distribution of electric and magnetic energy in the far field. Accelerating charges also create radiating fields in addition to the reactive field; stationary charges and charges travelling at constant speed do so. Reactive fields are created as a result of the continual charge drift caused by DC sources.
The complete calculation is attahced.
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How do astronomers know that stars are not all the same distance from us?
Answer:
'brightness' and 'place' (?)
Explanation:
You can tell the distance in both simple and complicated ways; for instance, some methods like using luminosity don't work for all stars*
quote for better understanding:
"Farther methods are usually based on identifying what type of star a given star is, and estimating its luminosity .."
"..We then measure its apparent brightness (how bright it looks)* and do some math to figure out how far away it is."
(more detailed quote):
"By knowing the actual brightness and comparing it to the apparent brightness seen from Earth (that is, by looking at how dim the star has become once its light reaches Earth), they can determine the distance to the star."
Alternatively by observing the position of the star or its place a similar technique is used:
quote:
"Earth orbits the Sun, so it is in a slightly different position in January than in July. Nearby stars will seem to slightly shift in position in our sky relative to far-away stars."
In conclusion-- luminosity is commonly how astronomers know that stars are not all the same distance away from us.
At what speed will an electromagnetic wave of frequency 3.75 1014 Hz travel in vacuum?
The Speed of 5.625 x 10¹⁴m/s will traverse in vacuum.
Maxwell not only developed a complete electromagnetic theory expressed in Maxwell's equations, but also brought all the work done by such great physicists as Oersted, Coulomb, Gauss, Michael Faraday, and his own insights. to develop electromagnetism. Maxwell's equations contain the most important laws of electricity and magnetism.
[tex]E/M=c[/tex]
[tex]E=esin[2\pi -wT]\\\\B=msin[2\pi -wt][/tex]
Maxwell calculated the speed of electromagnetic waves and found that the speed of electromagnetic waves is almost the same as the speed of light.
Maxwell's first equation tends to give a special form of Coulomb's law called Gauss's law of electricity.
speed = 1.5 x 3.75 x 10¹⁴=5.625 x 10¹⁴m/s
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What is the change in internal energy in joules of a car if you put 13.5 gal of gasoline into its tank?
The change in internal energy of car will be 13.5 cal.
The internal energy of an ideal gas is a good approximation of a real system. In such a system, particles in an ideal gas appear as point objects that collide with each other in a perfectly elastic way. The actual behavior of monatomic gases (helium, argon, etc.) reflects this model.
For an ideal gas, the internal energy is proportional to the number of moles of gas and its temperature: U = cnT
Gibbs free energy is increasing as the curve of entropy.
The first law of thermodynamics states that the increase in internal energy is equal to the total heat input plus the work done by the environment. For isolated systems, it remains constant.
Q=u+w
u=Q-w
=13.5cal
since no reaction happened.
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A golf ball (m = 52.0g) is hit by a club that makes an angle of 50.1◦ with the horizontal. The ball lands 167 m away on a flat fairway. The acceleration of gravity is 9.8 m/s^2.
Answer:
DeeExplanation:
A block weighing 100. newtons is positioned on an incline that makes an angle of 30.° with the horizontal. The magnitude of the friction force between the block and the incline is 10. newtons. A force of 120. newtons is applied by pulling on a rope that makes an angle of 30.° with the incline, as shown.
Draw a free-body diagram, and provide appropriate labels for each of the forces. (Optional)
Calculate the component of the block’s weight parallel to the incline.
Calculate the magnitude and direction of the component of the tension that is useful in moving the block up the incline.
Calculate the magnitude and direction of the block’s acceleration.
(a) The perpendicular component of the block's weight is 86.6 N.
(b) The parallel component of the block's weight is 50 N.
(c) The magnitude and direction of the tension needed to move the block is 103.9 N upwards.
(d) The magnitude and direction of the block's acceleration is 4.3 m/s² upwards.
What is the components of the block's weight?The perpendicular and parallel component of the blocks weight is calculated as follows;
The perpendicular component of the block's weight is calculated as follows;
W (n) = W cosθ
where;
W is the weight of the blockθ is the angle of inclination of the blockW (n) = 100 x cos(30)
W (n) = 86.6 N
The parallel component of the block's weight is calculated as follows;
W (p) = W sinθ
W (p) = 100 x sin (30)
W (p) = 50 N
The magnitude of the tension needed to move the block is calculated as follows;
T = F cosθ
where;
F is the applied forceθ is the angle of inclinationT = 120 x cos(30)
T = 103.9 N upwards
The acceleration of the block is calculated as follows;
T - Ff - W (p) = ma
where;
Ff is force of frictiona is accelerationm is the massm = W /g
m = 100 N / 9.8 m/s² = 10.2 kg
T - Ff - W (p) = ma
103.9 - 10 - 50 = 10.2a
43.9 = 10.2a
a = 43.9 / 10.2
a = 4.3 m/s² upwards
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For the photoelectric effect, indicate the expected observations for a particle theory of light and for a wave theory of light.
1. If light intensity is increased, the number of electrons ejected should increase, but the maximum kinetic energy of the electrons ejected should not increase.
2. If the frequency of the light is increased, the maximum kinetic energy of the electron should not be affected.
3. If the frequency of the light is increased, the maximum kinetic energy of the electrons should increase.
4. If the light intensity is increased, the number of electrons ejected should increase and the maximum kinetic energy of the electrons ejected should increase.
5. There should be no lower limit to the frequency - electrons will be ejected for all frequencies.
6. There is a "cutoff" frequency, below which no electrons will be ejected, no matter how intense the light.
For the photoelectric effect, the expected observations for a particle theory of light are 1,3, and 6 and 2,4,5 for a wave theory of light.
The particle theory of light defines that light consists of minute particles. Light consists streams of small particles known as photons and travels in straight lines at great speeds which is reflected from mirrors in a predictable way. Wave theory of light suggests that light has a wave character and that it travels in a medium called ether as a longitudinal wave and undergoes diffraction and interference. The wave-particle duality theory states that waves can exhibit particle-like properties while particles can exhibit wave-like properties. Hence, based on the basic definition, the statement 1, 3, and 6 respond to particle theory of light and statements 2,4, and 5 respond to wave theory of light.
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a mass of 350 g connected to a light spring of force constant 24.2 n/m oscillates on a horizontal, frictionless track. the amplitude of the motion is 6.3 cm. calculate the total energy of the system. answer in units of j.
The total energy of the system is 0.01089 joules.
The mass of the object is, m = 0.35 kg
The spring constant is, k = 24.2 N/m
The amplitude of the motion is, A = 3 cm
The relationship of the total energy of the system is given by the following:
[tex]E_{T} = 1/2KA^{2}[/tex]
Substitute the values in the above relationship.
[tex]E_{T} = 1/2[(24.2 N/m (3cm * 1m/100cm)^{2} ][/tex]
= 0.01089 joules
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Explain how Newton’s second law and third laws are used to calculate the force needed to hold a 0.003 kg sheet of paper and keep it from falling. (g = 9.8 m/s2)
The force needed to hold a 0.003 kg sheet of paper and keep it from falling is equal to 0.0294 N.
What is the third law of motion?According to Newton's 3rd law of motion, when two objects interact and exert force on each other, these forces are called action-reaction pairs. Force can be defined as a push or pull exerted resulting in its interaction with another.
From the second law of motion, the force is equal to mass time acceleration in the case of free fall gravitational acceleration.
Given the mass of the sheet paper, m = 0.003 Kg
The acceleration due to gravity, g = 9.8 m/s²
The weight of the sheet of paper can be calculated as:
W = mg
W = 0.003 ×9.8
W = 0.0294 N
Therefore, the force required to prevent the paper from keep falling will be equal to 0.0294 N.
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what is the best approximation for the area of this circle? use 3.14 to approximate pi.
The best approximation is 201.0 [tex]in^{2}[/tex]
we know that
The area of the circle is equal to
[tex]A= \pi r^{2}[/tex]
In this problem we have
r =8 in
[tex]\pi =3.14[/tex]
substitute
A= (3.14) ([tex]8^{2}[/tex]) =201.0 [tex]in^{2}[/tex]
What is Pi ?pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.Pi is most commonly used in certain computations regarding circles. Pi not only relates circumference and diameter. Amazingly, it also connects the diameter or radius of a circle with the area of that circle by the formula: the area is equal to pi times the radius squared. Additionally, pi shows up often unexpectedly in many mathematical situations. For example, the sum of the infinite series.To learn more about pi refer to:
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What is the ke a car with a mass of 1500kg running with a velocity?
The KE of the car is 750v² J.
KE is the kinetic energy of the object which can be defined as the energy possessed by the object when it is in motion.
Also kinetic energy is equal to the net work done on the object.KE = ΔW
The SI unit of the kinetic energy is joule (J).The formula to calculate the kinetic energy is KE = (1/2)*m*v²Where,
m = mass of the object
v = speed at which the object is moving
Kinetic energy depends on the speed squared of the object. This means that when an object's speed is doubled, its kinetic energy is quadrupled.Mass of the car = 1500Kg
Velocity of the car = v m/sec
KE = (1/2)*m*v²
KE = (1/2)*1500*v²
KE = 750v² J
The KE a car with a mass of 1500kg running with a velocity v m/sec 750v² J.
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this imposes another condition on the charge densities on the surfaces of the plates. how can this condition be expressed?
The requirement of the charge densities on the surfaces of the plates is that the charge on the plates must be of the same amount but in the opposite direction in order to complete this field. This condition requires that the charge on the plates be of the same amount but in the opposite direction.
What is an electric field?
It is a physical field that a charged particle occupies on another particle in its environment. In order to form this field, the charge on the plates must be the same amount but going in the opposite direction.
The parallel plate capacitor is the term given to the device that holds a charge. The charge concentrations on the plate surfaces will be under the following conditions:
The charges on the plates must be identical in size and directed in the opposite direction.
This enables the addition of fields to the inside of the plates and the removal of fields from the outside.
Therefore, in order to form this field, the charge on the plates must be the same amount but applied in the opposite direction.
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a pair of narrow, parallel slits separated by 0.250 mm is illuminated by the green component from a mercury vapor lamp (l 5 546.1 nm). the interference pattern is observed on a screen 1.20 m from the plane of the parallel slits. calculate the distance (a) from the central maximum to the first bright region on either side
The length (a) of the first brilliant zone on either side of the central maxima is 2.62mm.
What does diffraction interference mean?Diffraction. Waves that emerge from two independent sources and produce distinct wave fronts are said to interfere. On the other hand, diffraction can be thought of as secondary waves that form from the many components of the same wave.
Why does an interference pattern occur?Thomas Young demonstrated how the interaction of two sources of light in the same medium results in an interference pattern. both prospective and retrospective meddling.
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A 710 kg k g car drives at a constant speed of 23 m/s m / s. It is subject to a drag force of 500 n n.
A 710 kg k g car drives at a constant speed of 23 m/s and is subject to a drag force of 500 N. The required power to drive the car on the ground is 11.5 kW
Power is defined as the amount of work done per unit time.
P = W/Δt
Where:
W = work done
Δt = time period
Since W = F . s
Hence,
P = F . s/Δt = F . v
Where:
F = force acted on the object
s = distance
v = velocity
Parameters given in the problem:
F = 500 N
v = 23 m/s
Hence, the required power is:
P = (500) (23 ) = 11,500 Watt = 11.5 kW
Your question is incomplete, but most probably your question was:
A 710kg car drives at a constant speed of 23m/s . It is subject to a drag force of 500 N. What power is required from the car's engine to drive the car on level ground?
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the structure of a solid can be determined by diffraction of radiation in which region of the electromagnetic radiation spectrum?
Atoms' surrounding electron clouds can serve as diffraction gratings and x-ray scattering sites. This makes it possible to determine the structure of molecules as well as the solid-state structure (i.e., the lattice types and unit cell dimensions).
The principles of diffraction are based on Bragg's Law:
nλ=2dsinθ
n is the diffraction order, which is typically 1.
lambda is the radiation's wavelength of incidence
d is the distance between the lattice planes, where
is the angle between the incident radiation and the scattering plane.
Powder x-ray diffraction (PXRD), which gives the cell constants for the solid's unit cell, is used when the material is a powder.
The intensity of the diffraction peaks is utilised to determine all atom locations when the sample is a single crystal, which provides bond lengths and bond angles.
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mechanical energy is select one because the roller coaster select one energy due to friction and air resistance as it travels down the track.
Mechanical energy is: True, Mechanical energy is chosen because the roller coaster choose will have large potential energy.
Mechanical energy is the sum of capability strength and kinetic energy. it's far the power related to the motion and role of an object. as an instance, a shifting vehicle possesses mechanical power in the shape of kinetic power, a compressed spring possesses mechanical power in the shape of potential power.
There are two kinds of mechanical electricity – movement (kinetic power) and saved (ability power). you can learn more in our manual that explains capacity and kinetic energy. Mechanical conversion depends on the quantity of capability energy an object has and what kind of kinetic strength it is able to produce.
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a boy jumps on a trampoline straight up with initial velocity of 9.2 m/s. how long would it take him to return back to the starting position? assume the magnitude of g
0.62 sec is the time that will be required by the boy jumping on trampoline to return back to the starting position.
How to find time of return on a trampoline?A trampoline is an activity of jumping up and down and it defines the conservation of energy, from potential into kinetic.
It also describes Hooke's laws and the spring constant. Furthermore, it verifies and illustrates each of Newton's three laws of motion.
Calculation:
Time of flight = 24/g
=2×3/9.8
=0.62 sec
The three forces, acting on the boy are tension of the spring, FBD and gravity (mg).
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For an ideal gas in a sealed container, if you double the pressure and double the volume, while keeping everything else the same, what has happened to the temperature?
A. The temperature is one-quarter of its original value.
B. The temperature is now four times its original value.
C. The temperature is equal to its original value.
D. The temperature is now double its original value.
E. The temperature is now half its original value.
For an ideal gas in a sealed container, if pressure and volume are made double, then : B.) temperature is now four times its original value.
What happens when pressure and volume are doubled?Ideal gas is an hypothetical condition of gas state where molecules of the gas are spaced widely apart that is the inter molecular force of attraction is negligible. It obeys the equation,
PV = n RT
Here, P is the absolute pressure of the gas
V is Volume occupied by the gas
n is number of moles of gas
R is Gas constant
T is Absolute temperature of the gas
Ideal gas at two different states are given as:
((P1).(V1))/(T1) = ((P2).(V2))/(T2)
Given, P2 = 2*P1, V2 = 2*V1
So, ((P1).(V1))/(T1) = ((2*P1).(2*V1))/(T2)
1/T1 = 4/T2
T2 = 4 times of T1
Temperature of the gas becomes four times on doubling the absolute pressure and temperature of gas.
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How could one travel faster than the old speed limit without violating the new velocity limit.
Without violating the new speed limit rules, one can go faster than the old limit.
Because c=velocity includes displacement as it is a vector, one may move faster with a velocity meter than the traditional speed restriction. As a result, it will enable the passengers to go in a straight line without veering off the road, and it will assist them get there much quicker than the old approach without breaking the law.
As indicated above, following the displacement rather than the actual distance might let someone arrive at their goal considerably more quickly without violating the new velocity limit.
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There are 8 squares and 10 circles. What is the simplest ratio of squares to total shapes?.
The simplest ratio of squares to total shapes if we have 8 squares and 10 circles is 4:9.
What is Ratio?
A ratio is said to be is the simplest form or in the lowest term if two quantities of a ratio (i.e., antecedent and consequent) have no common factor (i.e. antecedent and consequent are co-prime) other than 1 (or their HCF is 1). The ratio must always be expressed in its simplest form or in its lowest terms.
Now,
There are 8 squares and 10 circles.
We have, total shapes = 8 + 10 = 18
Hence, The simplest ratio of squares to total shapes = 8 : 18 = 4 : 9
So, The simplest ratio of squares to total shapes is 4 : 9
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A rocket burns fuel at a rate of 283 kg/s and
exhausts the gas at a relative speed of 8 km/s.
Find the thrust of the rocket.
Answer in units of MN.
Thrust force of the rocket is, T = 2.264 MN
Thus, the force required to move the rocket through the air is 2.264MN. This force is generated because of Newton's third law of motion.
What is thrust?
Thrust is the force which moves the rocket through the air, and through space. Thrust is generated by the application of Newton's third law of motion; "For every action there is an equal and opposite re-action. "
Calculation:The formula for calculating, thrust force of the rocket is T= vdm/dt
Where, T is the thrust of the rocket
v is th relative speed = 8km/s (given in question)
dm/dt is the mass flow rate = 283kg/s (given in question)
Substituting the values,
T = 8km/s × 1000m/1km × 283kg/s
= 2.264 (10^6N=2.264MN)
Therefore, main answer is that
Thrust force is, T = 2.264 MN
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B is kept constant but the coil is rotated so that the magnetic field, B, is now in the plane of the coil. How will the magnetic flux through the coil change as the rotation occurs?
The magnetic flux decreases through the coil.
Due to a change in the angle between B and the coil's axis, the flux decreases.
Magnetic flux :
The magnetic field and the vector corresponding to the coil's area form a dot product, which determines the flux through the coil. The latter vector has a magnitude equal to the coil's area and a direction perpendicular to the plane in which the coil's area is located. The vector S is the vector representing the area of the coil, much like in the attached image. The flux will therefore be at its highest when the vector S points in the same direction as B, and at its lowest when their angles are perpendicular.
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