The seven components of the electromagnetic spectrum are gamma, X-rays, ultraviolet, visible, infrared, microwaves, and radio waves, in order of decreasing wavelength.
From shortest to longest wavelength, the electromagnetic spectrum consists of radio waves, microwaves, infrared rays, optical rays, ultraviolet rays, X-rays, and gamma rays.The electromagnetic spectrum's upper-frequency portion is where gamma rays are located.The range of electromagnetic radiation's frequencies, along with the corresponding photon energies and wavelengths, is known as the electromagnetic spectrum. The electromagnetic spectrum includes electromagnetic waves with frequencies between one hertz and above 10²⁵hertz, or wavelengths between thousands of kilometers and a small portion of the size of an atomic nucleus.To know more about electromagnetic spectrum
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how long (in ns) does it take light to travel 1.00 m in vacuum? express your answer with the appropriate units.
It take light to travel 1.00 m in vacuum is 3.33 nano secs.
What is vacuum?
A space that is entirely devoid of matter a space that has been artificially partially (to the greatest extent possible) evacuated using an air pump. rarefaction at pressures lower than atmospheric pressure.
What is light ?
The electromagnetic radiation known as "light" is visible to the human eye. The wavelengths of electromagnetic radiation span a very large range, from radio waves with wavelengths measured in meters to gamma rays with wavelengths less than about 1 1011 meters.
apply C = S/t
so time t = 1/3e8
t = 3.33 nano secs.
Therefore, it take light to travel 1.00 m in vacuum is 3.33 nano secs.
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If the ball is released from rest at a height of 0.83 m above the bottom of the track on the no-slip side, what is its angular speed when it is on the frictionless side of the track? Assume the ball is a solid sphere of radius 3.8 cm and mass 0.14 kg .
How high does the ball rise on the frictionless side?
90 rad/s (Nearly)
Given that, mass, m=0.14 kg
Ball is released from rest at a height of, h= 0.83 m
Solid sphere of radius, R = 3.8 cm
=0.038 m
From the conservation of energy
ΔK = ΔU
1/2 mv2 + 1/2 Iω2 = mgh
Here, I=2/5MR2 , v=Rω
1/2 mv2 + 1/2 (2/5mR2)(v/R)2 =mgh
1/2 [v2 +2/5 v2] =gh
7/10 v2 = gh
0.7v2 = gh
v =√ [gh / (0.7) ]
=√ [(9.8 m/s2)(0.83 m) / (0.7) ]
= 3.408 m/s
Hence, angualar speed when it is on the frictionless side of the track,
ω= v/R
= (3.408 m/s)/(0.038 m)
= 89.7 rad/s
˜ 90 rad/s (Nearly)
Friction is a force, the resistance of movement whilst one object rubs in opposition to any other. every time gadgets rub against each different, they reason friction.
Friction works against the motion and acts in the opposite route. the quantity of friction depends at the substances from which the two surfaces are made.
The frictional pressure itself is directed oppositely to the motion of the item. due to the fact the friction to date described arises between surfaces in relative motion, it's miles referred to as kinetic friction. Static friction, in assessment, acts between surfaces at rest with respect to each different.
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When two lamps are connected in parallel to a battery, the total electrical resistance that the battery senses ismore than the resistance of either lamp.less than the resistance of either lamp.none of these
Yes this statement is true about electrical resistance circuit.
What is electrical resistance?
electrical resistance is a force that counteracts the flow of current.
Sol- when two lamps are connected in parallel to a battery, the total electrical resistance that the battery senses is more than the resistance of either . Beacuse In a parallel circuit each bulb is in its own circuit. As bulbs are added the resistance in the circuit decreases since each circuit is another pathway for electrons to move from one end of the circuit to the other.when two lamps are connected in series to a all the battery the electricals resistance that the battery's senses is the more than the resistence of either lamp.
As each bulb is connected in parallel to the battery, each has the same potential difference across it as the all of voltage across the battery of the terminals. All other to the potential differences are zero, as all the wires have to the zero resistance.
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why is the maximum difference in potential energy between atoms when placed in a magnetic filed of 3.5 t? you may ignore the magnetic spin.
The maximum difference in potential energy would be [tex]ΔE max =8.12×10 −4 eV[/tex]
What is potential energy?The energy that is held in an object as a result of its position in relation to a zero position is known as potential energy, to put it simply. If an object is placed at a height above (or below) the zero height, it has gravitational potential energy.
Energy that is conserved or stored in a substance or object is known as potential energy. The position, organization, or state of the object or substance determines the amount of stored energy.
It can be pictured as energy with the "potential" to perform labor. The energy will be released when the object's position, configuration, or state changes.
For instance, compressing a spring costs energy. However, what happens to that energy once the spring has been compressed? After all, we are aware that energy can only be changed from one form to another; it cannot be generated or destroyed.
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1. for the image formed by a converging lens, when the magnification m is negative, is the image upright or inverted relative to the object?
The image is reversed when the magnification is negative. The rays on the far side of a converging lens diverge if the object is placed closer to it than the focal length allows.
Converging lenses—can they magnify in the wrong direction?Since a convex lens can create both virtual and physical images, it can provide either positive or negative magnification. For a virtual image, magnification is beneficial; for a real image, it is detrimental. A negative magnification might either be actual or imaginary.
An image that is magnified negatively is real since it is inverted. The picture is smaller than the object when the magnification is less than 1.
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A radio antenna broadcasts a 1.0 MHz radio wave with 25 kW power. Assume the radiation is emitted uniformly in all directions. 1) what is the wave's intensity 30 km from the antenna 2) what is the electric field amplitude at this distance?
The radio antenna broadcasts a 1M Hz radio wave with 25 kW power.
1) The wave's intensity 30 km from the antenna is 8.842 * 10⁻⁶ W/m².
2) The electric field amplitude at this distance is 81.4 V/m.
The intensity of wave equation is given as
I = P/4πr²
where P is the power of radio wave (25 * 10³ W)
r is the distance from the source (30 * 10³ m)
I = (25 * 10³) / 4π (30 * 10³)² = 0.0000088419 W/m² = 8.842 * 10⁻⁶ W/m²
The relation between intensity of the wave and the electric field is given as
I = 0.5 * c * ε₀ * E²
where, c is the speed of light
ε₀ is the electric permitivity
E is the electric field
Now, let us make E as the subject,
E = √(2I/c ε₀) = √(2 * 8.8 * 10⁻⁶)/(3 * 10⁸ * 8.85* 10⁻¹²) = √(17.6 * 10⁴ / 26.55) = 0.814 * 10² = 81.4 V/m
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An object has a volume of 5 cm3 and a mass of 20 g. What is the density of the object?.
Answer:
[tex]d=4\frac{g}{cm^3}[/tex]
Explanation:
[tex]d=\frac{m}{v}\\m=20g\\v=5cm^3\\d=\frac{20g}{5cm^3}\\d=4\frac{g}{cm^3}[/tex]
How long is a 20 meter wavelength?.
A 20-meter wavelength is 14.000 MHz to 14.350 MHz.
Wavelength can be defined as the distance between two consecutive peaks or valleys. Measured in the direction of the wave. The wavelength of light is an important property that determines the properties of light. Red light has a different wavelength than blue light, and green light has a different wavelength from both.
Wavelength is the distance between two wave crests and the same for wave troughs. Frequency is the number of oscillations that pass through a particular point in one second, measured in cycles per second. The wavelength of light is defined as the distance between two successive peaks or troughs of a light wave.
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(6%) Problem 9: You have a horizontal grindstone (a disk) that is 91 kg, has a 0.33 m radius, is turning at 92 rpm (in the positive direction), and you press a steel axe against the edge with a force of 15 N in the radial direction
Part (a) Assuming that the kinetic coefficient of friction between steel and stone is 0.20, calculate the angular acceleration of the grindstone in rad/s2 Part (b) What is the number of turns, N, that the stone will make before coming to rest?
The angular acceleration of the grindstone is 0.199 rad / s²and the number of turns, N, that the stone will make before coming to rest is 36.94 rev.
(a)To solve this, we will use Newton's second law for rotational movement, i.e. torque
τ = I α
⇒ f × r = I × α
Now we write the translational Newton equation in the radial direction
N- F = 0
⇒N = F
The friction force equation is
f = μ N
⇒ f = μ F
The moment of inertia is
I = ½ m r²
Let's replace in the torque equation
(μ F) r = (½ m r²) α
α = 2 μ F / (m r)
α = 2 (0.2)15/ (91 × 0.33)
α = 0.199 rad / s²
b) Using the relationship of rotational kinematics
w² = w₀² - 2 α θ
0 = w₀² - 2 α θ
θ = w₀² / 2 α
Reducing the angular velocity,
w₀ = 92 rpm (2π rad / 1 rev) (1 min / 60s) = 9.634 rad / s
θ = (9.634)² / (2 × 0.199)
θ = 232 rad
Reducing radians to revolutions
θ = 232 rad (1 rev / 2π rad)
θ = 36.94 rev
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find the average power pavg created by the force f in terms of the average speed vavg of the sled. express your answer in terms of f and vavg .
If Pavg = Fvavg, Given that we are attempting to find the velocity and the equation P = Fs/t states that the P (power) produced by the F (force) is: P = Fv, If the force F is constant and the object's speed is constant, then
What is meant by velocity?The velocity of an object or a body movement determines its direction. Speed is often a scalar quantity. Mass and velocity quantity in its most basic form. It gauges the rate of change in a distance. It relates to how quickly displacement is altering.
From the query, we learn that
The average power is mathematically denoted by the following expression:
[tex]P_{avg} = \frac{P}{delta (t)} \\[/tex]
Where W = Workdone ,
which is mathematically represented as - [tex]\\W = FX s[/tex]
F is the applied force, and s is the force-related displacement.
So,
[tex]P_{avg} = \frac{F X s}{delta (t)} \\[/tex]
displacement can be represented mathematically as
[tex]= > s = v_{avg} X delta(t)[/tex]
[tex]P_{avg} = \frac{F X v_{avg} X delta(t)}{delta (t)} \\\\P_{avg} = F X v_{avg}[/tex]
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Which changes of state do the labels represent? a: b: c:
A represents the so-called sublimation of state. represents the evaporation, a state change. C stands for melting, a change of state.
What does evaporation kid mean?A liquid turns into a gas through evaporation. Water vapor is created when liquid water evaporation turns it into a gas. Water is helped to evaporate and return to the atmosphere by the heat of the sun. There, it creates a cloud and returns to being water in the form of vapor.
What exactly happens during evaporation?Evaporation is the process by which liquid water transforms into gaseous water (water vapor). Water from the Earth's surface is carried into the atmosphere by evaporation. Evaporation occurs when heat energy causes the bonds holding the water molecules together to fall apart.
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spheres a and b are identical in size and made from the same conducting material. sphere a is attached to an insulating rod, and sphere b is suspended from an insulating thread. sphere a initially has a charge of 10 nc, and sphere b is initially uncharged. question which of the following best represents the distribution of charge on the surfaces of spheres a and b when sphere a is brought near sphere b?
The two metal spheres will reach their equal potential when they come into contact. Additionally, when the metal spheres have the same radius, the identical potential results in the same charges.
The charge distribution at each phase will now be as follows:
Initial values are: A=+6q B=-3q C=0.
A=+1.5q B=+1.5q C=0 Spheres A and B touched and separated. When two spheres touch, charges will be divided equally and the overall charge will be preserved.
After touching, A increases by 0.75q, B increases by 1.5q, and C increases by 0.75q (same logic as above)
When C and B are touched, A = +0.75q, B = +1.125q, and C = 1.125q.
So, qc=+1.125q will be the ultimate charge on sphere C.
Generally speaking, potential describes a skill that is still being developed. The term is used in a wide range of disciplines, from physics to the social sciences, to describe objects that are in a state where they have the capacity to change in a variety of ways, from the straightforward release of energy by objects to the realization of abilities in people.
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consider a binary liquid mixture of a and b, where a is volatile and b is nonvolatile. the composition of the solution in terms of mole fraction is xa
The composition of the solution in terms of mole fraction will simply be equal to the mole fraction of the volatile liquid.
It is given that the liquid a is volatile and b is non-volatile. Since the solute a is not volatile, the mole fraction of the solute is not to be taken into account for. Being non-volatile, the liquid aa will not be contributing to the partial pressure. Hence, the partial pressure will only depend on the mole fraction of b which is given to be volatile.
Therefore, here we will only have to consider the mole fraction of the volatile liquid b and not the involatile liquid a.
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when drawing a lewis structure for a free radical, which type of atom is more likely to receive the unpaired electron? select the correct answer below: the more electronegative element the less electronegative element the heavier element the lighter element
The less electronegative element is more likely to receive the unpaired electron.
What is lewis structure?A Lewis Structure is a very simplified representation of the valence shell electrons in a molecule. It is used to show how the electrons are arranged around individual atoms in a molecule. Electrons are shown as "dots" or for bonding electrons as a line between the two atoms.
What is free radical?A free radical can be defined as an atom or molecule containing one or more unpaired electrons in valency shell or outer orbit and is capable of independent existence.
What is unpaired electron?An electron, in an atomic orbital, for which there is no other electron in the same orbital but with opposite spin; a characteristic of free radicals and other reactive species.
What is electronegative element?Electronegativity is a chemical property that describes the tendency of an atom or a functional group to attract electrons toward itself.
Why the less electronegative element is more likely to receive the unpaired electron?A more electronegative element is more likely to be surrounded by more electrons and fulfill its octet. A less electronegative element is more likely to have the electron deficiency, in this case the unpaired electron.
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PLEASE SOMEONE HELP ME THIS IS DUE AT 11:59 pm PLEASE AT CHINA TIME
If energy creates heat, how does an air conditioning unit use energy to cool?
Explanation:
The liquid refrigerant evaporates in the indoor evaporator coil, pulling heat out of indoor air and cooling your home. The hot refrigerant gas is pumped outdoors into the condenser where it reverts back to a liquid, giving up its heat to the outside air flowing over the condenser's metal tubing and fins.
when does cross bridge cycling end? view available hint(s)for part g when does cross bridge cycling end? cross bridge cycling ends when calcium release channels in the sarcoplasmic reticulum open. cross bridge cycling ends when atp binds to the myosin head. cross bridge cycling ends when calcium ions are passively transported back into the sarcoplasmic reticulum. cross bridge cycling ends when sufficient calcium has been actively transported back into the sarcoplasmic reticulum to allow calcium to unbind from troponin.
Cross bridge cycling comes to a stop when enough calcium is processes take place back into the bloodstream to enable calcium to reassign from troponin.
What purpose does the sarcoplasm serve?In striated muscle, the sarcoplasmic reticulum (SR) serves as the primary intracellular calcium storage and is crucial in controlling excitation-contraction coupling (ECC) and intracellular calcium contents during contraction and relaxation.
What is sarcoplasmic thickening?More fluid flows to the muscles during a workout to supply energy. The term "sarcoplasmic hypertrophy" describes the expansion of this fluid's volume. Although it does not boost strength, it might give the appearance that muscles are bigger.
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determine the inductive time constant if the current in an rl circuit builds up to one-third of its steady-state value in 5.00 s.
The answer is C = 1/R = 12.346
Solution:
1/R(5) = 1/0.405
1/R = 5/0.405
C = 1/R = 12.346
The time constant of an inductive circuit is the time it takes for the voltage across the inductor to reach 63% of its initial value. If a fraction of the total flux is linked between two coils, the amount of flux linkage can be defined as the fraction of the total flux linkage possible between the coils.
This fractional value is called the coupling coefficient and is given the letter k. An argument is deductive if the argument believes that the truth of the premises reliably establishes the truth of the conclusion. An argument is inductive if the argument believes that the truth of the premises only provides good reason to believe that the conclusion is likely to be true.
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once hydraulic pressure exceeds psi, the system can power the landing gear, main gear doors, flaps, speed brake, and nose wheel steering
This is the measure of the change in pressure from one point in a hydraulic system to another.
It either represent the loss between two points or the energy extracted from from a system to do work (as in a hydraulic motor).Pressure drop is also referred to as “Delta P”.ΔP=P-P'Many factors contribute to this concept but the largest factor is generally the viscosity of the fluid. This along with the conduit diameter (hose/pipe diameter), volume flow rate and the distance between the two points being measured as all contribute to the final loss in pressure or pressure drop.Line loss pressure drop then configures into the inefficiency of a system and affects how much heat must be removed.To learn about hydraulic system -
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Where P pressure and V volume what happens to the pressure as the volume approaches 0 explain your reasoning?.
The pressure tends to zero pascals when the gas volume approaches very high volumes. On the other end of the graph, we can observe that the pressure tends to infinity as the volume decreases towards zero.
I.E. When the volume tends to 0, the pressure will tend to infinity.Volume and pressure are inversely related. Therefore, the volume will decrease as the pressure does, and vice versa.
Now, as the volume gets closer to zero, the pressure will dramatically rise and eventually tend to infinity. At v=0, the pressure-volume curve will asymptote.
As a result, when the volume comes to zero, the pressure will tend to infinite.
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Radio stations can broadcast their signals over great distances. Which property enables a radio station signal to travel far from the source?.
The property that makes the radio waves to travel over a very large distance is the fact that it has a long wavelength.
What are radio waves?We know that radio communication have given birth to the modern communication gadgets that we have now that involves the fact that we can be able to send signals over a very long distance.
It should be noted that the use of the radio waves is made quite easy because the radio waves can be able to travel across a very large distance and can be able to move at a very fast pace from one place to the other.
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Answer:
Explanation:
a
What happens to the balance of a reversible reaction at equilibrium when temperature is increased?.
The endothermic reaction now has the upper hand in the reaction's balance.
What is meant by endothermic reaction?
Endothermic reactions are chemical processes in which the reactants absorb heat energy from their surroundings to produce products.
Exothermic refers to chemical reactions that release energy. More energy is produced than is needed to break the bonds between the reactants when bonds are formed in exothermic process products. Chemical processes that can release or absorb energy are referred to as endothermic.
Endothermic chemical reactions are those that generally absorb (or use) energy. When bonds in the reactants are broken in endothermic reactions, more energy is absorbed than is released when new bonds are formed in the products.
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The Tornado i a carnival ride that conit of a vertical cylinder that rotate rapidly about it vertical axi. A the Tornado rotate, the rider are preed againt the inide wall of the cylinder by the rotation, and the floor of the cylinder drop away. The force that point upward, preventing the rider from falling downward, i a) friction force. C) gravity. B) a normal force. D) a tenion force
Normal forces are those that are directed upward force and stop the rider from falling downhill. The normal force is the pressure that surfaces provide to stop solid objects from piercing one another.
In touch, normal force is a force. Two surfaces cannot exert a normal force on one another if they are not in contact.
The Tornado is a roller coaster that features a vertical cylinder that spins quickly around its vertical axis. The rider is pushed against the inside wall of the cylinder by the rotation of the tornado, and the cylinder's floor falls away. Normal forces are those that are directed upward and stop the rider from falling downhill.
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What is the interaction between two magnets?.
The direct interaction between two magnetic dipoles is referred to as magnetic dipole-dipole interaction, or dipolar coupling.
There are north and south poles on every magnet. The same poles repel one another whereas opposite poles are drawn to one another. The north-seeking poles of the iron's atoms line up in the same direction when it is rubbed against a magnet.
The laws of electromagnetism cause magnets to exert forces and torques on one another. Microcurrents of electrically charged electrons orbiting nuclei and the intrinsic magnetism of the basic constituent particles (such as electrons) that make up the material are what cause the magnetic fields that attract objects.
Today's technologically significant groups of materials, such as magnetic recording materials, magnetic carriers, and magnaflux sensors used to detect cracks, all depend on magnetic interactions.
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calculate the ratio of the magnetic and electric forces on the plates and show that the magnetic force is always smaller.
FF=EvB=vEB=cv represents the relationship between the electromagnetism forces acting on the plates.
What do you think an electrical force is?Electric force is the interaction of any opposite charges bodies that is either repellant or attracting. The impact and effects it has on the target body are outlined by Newton's theory, just like any other force. A number of forces affect objects, including the electric force.
What other sorts of electric forces exist?Electric Forces as well as Their Types: Attractive and repulsive electrical forces are the two main types of electrical forces. Charges that are opposed to one another attract one another whereas those that are similar repel one another.
The magnetic force is always smaller as - The magnetic field's strength is determined by the charge's velocity, such as the current flowing through a wire (v=a few cm/s), or by the distance from the source. a radius of an electron ([tex]r=10^-15[/tex]). The Magnetic-field is substantially smaller than the E-field unless there are electromagnetic waves (EM-waves), in which case the magnetic field is equivalent to the electric field.
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How do quotas benefit domestic producers and cost domestic consumers?.
Quotas benefit and protect producers of goods in the domestic economy but consumers end up paying more when domestically produced goods cost more than imported goods.
Countries sometimes impose quotas on certain products in order to reduce imports and increase domestic production. In theory, quotas increase domestic production by limiting competition with foreign countries. Government programs that enforce quotas are often referred to as protectionist policies.
Import quotas restrict market access for imported products. The result is usually higher domestic prices paid by consumers. This leads to lower consumer surplus and lower real incomes. It may also reduce the choice consumers have in the market. A policy of reducing quantities is called a quota which is a government-imposed limit on the number of goods that can be bought or sold.
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Find the power received by the telescope from such a signal
The following formula can be used to determine a telescope's resolving power: Resolving power is calculated as 11.25 seconds of arc divided by d, where d is the objective's diameter in centimeters.
A telescope can have one of three different powers. They are the ability to resolve, gather light, and amplify.
What is the telescope's power?
Divide the telescope's (in mm) focal length by the eyepiece's (in mm) focal length to calculate power (in mm). You can modify the telescope's power by swapping out one eyepiece with one focal length for another.
The height of the image divided by the height of the object is known as magnification.
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an object hangs motionless from a spring. think about the sum of the elastic potential energy of the spring and the gravitational potential energy of the object and earth (uspr ug). when the object is pulled down and held, this sum
Furthermore, as the spring is pushed down, the work done is stored as elastic potential energy. As a result, the total of elastic potential energy and gravitational potential energy will rise.
Does an elastic item have gravitational potential energy?If an item is above (or below) the zero height, it has gravitational potential energy. If an item is at a position different than the equilibrium position on an elastic medium, it has elastic potential energy.
Gravitational potential energy is energy contained in a vertically held item. Elastic potential energy is stored energy in things that can be stretched or squeezed.
The amount of the force necessary to modify the length of a spring-like item.
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A ceiling fan consists of a small cylindrical disk with 5 thin rods coming from the center. The disk has mass md = 3.3 kg and radius R = 0.26 m. The rods each have mass mr = 1.2 kg and length L = 0.72 m.a. What is the moment of inertia of each rod about the axis of rotation?b. What is the moment of inertia of the disk about the axis of rotation?c. What is the moment of inertia of the whole ceiling fan?d. When the fan is turned on, it takes t = 3.1 s and a total of 13 revolutions to accelerate up to its full speed. What is the magnitude of the angular acceleration?e. What is the final angular speed of the fan?f. What is the final rotational energy of the fan?g. Now the fan is turned to a lower setting where it ends with half of its rotational energy as before. The time it takes to slow to this new speed is also t = 3.1 s. What is the final angular speed of the fan?h. What is the magnitude of the angular acceleration while the fan slows down?
A solid body rotating about an axis has rotational kinetic energy that is proportional to both its moment of inertia and its angular speed of rotation about the axis.
The formula is: K=(1/2)I[tex]w^{2}[/tex]
The most straightforward form of rotational motion is a circle rotating around an axis. The rotational kinematics equations then resemble the linear kinematics equation:
θ [tex]= w_{i} t + \frac{1}{2} \alpha t^{2}[/tex]
[tex]w_{f} = w_{i} + \alpha t[/tex]
where α is the angular acceleration,
ω is the angular speed,
θ is the angle traveled and
t is the time.
Given data:
Mass of the disk, [tex]m_{d}[/tex]=3.3 kg
The radius of the disk, R=0.26m
Mass of the rod, [tex]m_{r}[/tex]=1.2 kg
Length of the rod, L=0.72 m
a) Think about the equation used to calculate the rod's moment of inertia.
[tex]I_{rod}[/tex] = [tex]\frac{1}{3} m_{r} L^{2}[/tex]
Calculate the moment of inertia of each rod about the axis of rotation.
[tex]I_{rod}[/tex] = [tex]13 * (1.2) * (0.72)^{2}[/tex]
[tex]I_{rod}[/tex] = [tex]0.207 kg m^{2}[/tex]
b) A disk's moment of inertia around an axis that passes through its center and is perpendicular to the disk is:
[tex]I_{disk}[/tex] = [tex]\frac{1}{2} m_{d} R^{2}[/tex]
We have,
[tex]I_{disk}[/tex] = [tex]\frac{1}{2} (3.3) (0.26)^{2}[/tex]
[tex]I_{disk}[/tex] = [tex]0.112 kg m^{2}[/tex]
c) The entire ceiling fan's moment of inertia.
[tex]I_{fan} = 5 I_{rod} + I_{disk}[/tex]
[tex]I_{fan} = 5 (0.207) + 0.112\\I_{fan} = 1.147 kg m^{2}[/tex]
d) Here we are given the angle covered and the time for it.
We can find the angular acceleration from the formula:
θ = [tex]\frac{1}{2} \alpha t^{2}[/tex]
We have:
θ = 13 rev
θ = 13(2π) rad
θ = 26π rad ≈ 81.68 rad
Therefore we have:
[tex]\alpha = 2[/tex]θ / [tex]t^{2}[/tex] = [tex]\frac{2(26\pi )}{3.1^{2} }[/tex] = 17 rad / [tex]s^{2}[/tex]
e) To find the final angular velocity of the fan we have:
[tex]w_{f} = w_{i} + \alpha t[/tex]
Substitute [tex]w_{i}[/tex] = 0, [tex]\alpha[/tex] = 17 rad / [tex]s^{2}[/tex], and t=3.1s in the above expression:
[tex]w_{f} = 0 + 17 (3.1)[/tex]
[tex]w_{f} = 52.7 rad / s[/tex]
f) Consider the formula used to calculate the final rotational kinetic energy of the fan.
K = [tex]\frac{1}{2} I_{fan} w_{f}^{2}[/tex]
Substitute the values.
K = [tex]\frac{1}{2} (1.147) (52.7)^{2}[/tex]
K = 1593 J
g) The spinning energy of the fan decreases by half when it is adjusted to a lower speed.
This can give us angular speed.
[tex]K_{f} = \frac{K}{2}[/tex]
[tex]K_{f} = \frac{1593}{2}[/tex]
[tex]K_{f} = 796.5 J[/tex]
Calculate the final angular speed of the fan.
[tex]K_{f} = \frac{1}{2} I_{fan} w_{f}^{2}[/tex]
[tex]w_{f} = \sqrt{\frac{2K_{f}}{I_{fan} } }[/tex]
Substitute the values.
[tex]w_{f} = \sqrt{\frac{2(796.5)}{1.147} }[/tex]
[tex]w_{f} = 37.3 rad / s[/tex]
h) The angular acceleration is calculated when the fan slows down by
[tex]w_{f} = w_{i} + \alpha t[/tex]
[tex]\alpha[/tex] = [tex]\frac{w_{f} - w_{i} }{t}[/tex] = [tex]\frac{37.3 - 52.7}{3.1}[/tex] = − 4.97 rad / [tex]s^{2}[/tex]
Therefore, the magnitude of the angular acceleration is:
|[tex]\alpha[/tex]| = 4.97 rad / [tex]s^{2}[/tex]
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For what angle of incidence at the first mirror will this ray strike the midpoint of the second mirror (which is s = 28.8 cm long) after reflecting from the first mirror?
The angle of incidence at the first mirror will this ray strike the midpoint of the second mirror is 34.6°
Two plane mirrors intersect at right angles. A laser beam strikes the first of them at a point d = 10.0cm from their point of intersection.
To strike the midpoint of the second mirror, the ray of light will have to travel half of the distance vertically
i.e. 29/2 = 14.5
We can solve this through trigonometry.
Let the angle between the ray and the vertical plane mirror is known as α
tan α = 10/14.5
α = = 34.6°
The angle of incidence is the angle between the ray and the normal line of the mirror.
Let the angle of incidence of the first mirror be β
β = α = 34.6
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what string tension would produce the same frequency on a smaller violin with a string length of 0.235m if the linerar density remains constant
If the linerar density stays constant, which it does when the string length is 0.235 meters, the same frequency would be produced by the same string tension of 41.58 N on a smaller violin.
f1=196 Hz
l1=0.33 m
t1=82N
Now f1=1/2l1√T1/μ
μ=4.9*10⁻³ kg/m
f2=f1=196 Hz
196=1/2*L₂√T₂/μ
T₂=41.58 N
In physics, tension is defined as the pulling force transmitted axially by a string, rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object. Tension can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements.A force known as tension is particularly effective on medium-length materials like rope and cord that are also flexible. A gravitational force still exists in tension. When the body is moving upward, the tension is denoted by the formula T = W + ma.
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